POV-Wiki - User contributions [en]

Reference:Shapes3.inc

2013-04-17T22:47:20Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.

Segments of shapes:
<dl>
<dt><code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>
<dd>Segment of a torus around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis. 
Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>. <code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>, defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis, defined by the incircle radii: 
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii: 
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1. Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments)</code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code> and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.

<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.

<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.

<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius <code>Edge_R</code>.

</dl>

Reference:Makegrass.inc

2013-04-17T22:12:43Z

Flohmuller: Created page with "Category:Include Files makegrass.inc - grass and prairie building macros. <dl> <dt><code>MakeBlade()</code> <dd>creates an individual blade of grass as me..."

[[Category:Include Files]]

makegrass.inc - grass and prairie building macros.
<dl>
<dt><code>MakeBlade()</code>
<dd>creates an individual blade of grass as mesh.

<dt><code>MakeGrassPatch()</code>
<dd>creates a patch of grass (mesh) 
optional with saving the mesh in a text file.

<dt><code>MakePrairie()</code>
<dd>creates a prairie of grass patches.
</dl>

Reference:Meshmaker.inc

2013-04-17T22:08:20Z

Flohmuller: Created page with "Category:Include Files meshmaker.inc - various mesh2 objects by splines. <dl> <dt><code>MSM(SplineArray, SplRes, Interp_type, InterpRes, FileName)</code> ..."

[[Category:Include Files]]
meshmaker.inc - various mesh2 objects by splines.
<dl>
<dt><code>MSM(SplineArray, SplRes, Interp_type, InterpRes, FileName)</code>
<dd>Generates a mesh2 from an array of splines and optionally writes the mesh2 object as a file of the given <code>FileName</code>. 
The uv_coordinates come from the square <0,0> - <1,1>. 
The spline is evaluated from t=0 to t=1. 
For the normal calculation, it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.

<dt><code>BuildWriteMesh2(VecArr, NormArr, UVArr, U, V, FileName)</code>
<dd>Generates and optionally writes a mesh2 object based on 3 input arrays,
the number of quads in U and V direction and a filename. 
<code>VecArr</code> : The array that contains the vertices of the triangles in the mesh. 
<code>NormArr</code> : The array with the normal vectors that go with the vertices. 
<code>UVArr</code> : The array containing the uv_vectors. 
<code>U</code> : The amount of subdivisions of the surface in the u-direction. 
<code>V</code> : The amount of subdivisions in the v-direction. 
Based on the U and V values the face_indices of the triangles in the mesh are calculated. 
<code>FileName</code> : The name of the file to which the mesh will be written.
If is an empty string (""), no file will be written. 
If the file extension is 'obj' a Wavefront objectfile will be written. 
If the extension is 'pcm' a compressed mesh file is written. 
If a file name is given, the macro will first check if it already exists. 
If that is so, it will try to parse the existing file unless it's a '*.obj', '*.pcm' or '*.arr' file as POV-Ray
can not read them directly. In this case a new mesh will be generated,
but the existing files will _not_ be over-written.

<dt><code>BuildSpline(Arr, SplType)</code>
<dd>A helper macro for MSM() 
Generates from a array <code>Arr</code> a spline of the given spline type <code>SplType</code>.

<dt><code>CheckFileName(FileName)</code>
<dd>A helper macro for MSM() 
If Return has a value of 0 the mesh will not be build,
but it will be parsed from file.

<dt><code>LInterpolate(Val, Min, Max)</code>
<dd>A helper macro for MSM() 
Linear interpolation of a vector or float between <code>Min</code> and <code>Max</code>. 
<code>Min</code> : minimal float value or vector. 
<code>Max</code> : Maximal float value or vector. 
<code>Val</code> : A float in the range 0 - 1.

<dt><code>RangeMM() = function(Val,Rmin,Rmax,Min,Max)</code>
<dd>A helper function for MSM() 
Adjusts input values in the range [<code>RMin, RMax</code>] to fit in the range [Min, Max].
<code>Val</code>: A float value in the range [Rmin, Rmax].

<dt><code>Parametric(__F1__, __F2__, __F3__, UVmin, UVmax, Iter_U, Iter_V, FileName)</code>
<dd>Generates a mesh2 object from the parametric uv functions <code>__F1__, __F2__, __F3__</code>
in the ranges between <code>UVmin</code> and <code>UVmax</code> with the iteration steps

<code>Iter_U</code> and <code>Iter_V</code> and optionally saves the mesh2 object as a file with the name <code>FileName</code>.

<dt><code>Paramcalc(UVmin, UVmax, Iter_U, Iter_V, FileName)</code>
<dd>The kernel of the macro Parametric(). See <code>Parametric()</code>.

<dt><code> Prism1(Spl, ResSpl, PSpl, PRes, FileName)</code>
<dd>Generates a mesh2 object by extruding the spline <code>Spl</code> along the y-axis with the resolution spline <code>ResSpl</code>.
In every step the spline is scaled by the 'relative' distance from the
y-axis of the second spline (PSpl). 
The uv_coordinates come from the square <0,0> - <1,1>. 
<code>Spl</code> : The spline to be extruded. 
The spline is evaluated from t=0 to t=1. For the normal calculation, 
it is required that all splines (also linear_spline) have one extra 
point before t=0 and after t=1.
<code>ResSpl</code> : The amount of triangles to be used along the spline.
<code>PSpl</code> : The spline that determines by what amount the extrusion 
is scaled in each step. The scaling is based on the relative distance from the y-axis. 
That is, at t=0 the scale is always 1, so that the start of the shape is 
identical to the spline <code>Spl</code>. 
PSpl also sets the height of the resulting shape (its y-value at t=1). 
The spline is evaluated from t=0 to t=1. For the normal calculation, 
it is required that all splines (also linear_spline) have one extra 
point before t=0 and after t=1. 
<code>FileName</code> : The name of the file to which the mesh will be written. 
If is an empty string (""), no file will be written. If a file name is given, the macro 
will first check if it already exists. If that is so, it will expect a 
mesh2 with the name "Surface" and try to parse the existing file. 

<dt><code>Lathe(Spl, ResSpl, Rot, ResRot, FileName)</code>
<dd>This macro generates a mesh2 object by rotating a two-dimensional curve about the y-axis. 
The uv_coordinates come from the square <0,0> - <1,1>. 
<code>Spl : The spline to be rotated.
The spline is evaluated from t=0 to t=1. For the normal calculation,
it is required that all splines (also linear_spline) have one extra
point before t=0 and after t=1.
<code>ResSpl</code> : The amount of triangles to be used along the spline.
<code>Rot</code> : The angle the spline has to be rotated. 
<code>ResRot</code> : The amount of triangles to be used in the circumference. 
<code>FileName</code> : The name of the file to which the mesh will be written. 
If is an empty string (""), no file will be written. 
If the file extension is 'obj' a Wavefront objectfile will be written. 
If the extension is 'pcm' a compressed mesh file is written. 
If a file name is given, the macro will first check if it already exists. 
If that is so, it will try to parse the existing file unless it's a '*.obj', 
'*.pcm' or '*.arr' file as POV-Ray can not read them directly. In this case a new 
mesh will be generated, but the existing files will _not_ be over-written. 

<dt><code>Coons(Spl1, Spl2, Spl3, Spl4, Iter_U, Iter_V, FileName)</code>
<dd>Generates a mesh2 'coons surface' defined by four splines, all attached head to tail to the previous / next one. 
The uv_coordinates come from the square <0,0> - <1,1>. 
<code>Spl1 - 4</code> : The four spline that define the surface. 
The splines are evaluated from t=0 to t=1. 
<code>Iter_U</code> : The resolution for the splines 1 and 3. 
<code>Iter_V</code> : The resolution for the splines 2 and 4. 
<code>FileName</code> : The name of the file to which the mesh will be written. 
If is an empty string (""), no file will be written. 
If the file extension is 'obj' a Wavefront objectfile will be written. 
If the extension is 'pcm' a compressed mesh file is written. 
If a file name is given, the macro will first check if it already exists. 
If that is so, it will try to parse the existing file unless it's a '*.obj', 
'*.pcm' or '*.arr' file as POV-Ray can not read them directly. In this case a new 
mesh will be generated, but the existing files will _not_ be over-written.

<dt><code>TwoVarSurf(__Fuv, Urange, Vrange, Iter_U, Iter_V, FileName)</code>
<dd>Generates a mesh2 object by extruding an uv-function.
<code>Urange</code> : The range in x direction. 
<code>Vrange</code> : The range in y direction. 
<code>Iter_U</code> : The resolution in x direction. 
<code>Iter_V</code> : The resolution in y direction. 
<code>FileName</code> : The name of the file to which the mesh will be written. 
If is an empty string (""), no file will be written. If a file name is given, the macro 
will first check if it already exists. If that is so, it will expect a 
mesh2 with the name "Surface" and try to parse the existing file.

<dt><code>SweepSpline1(Track,Shape,Waist,U,V,Filename)</code>
<dd>Generates a mesh2 object by extruding a spline <code>Shape</code> along <code>Track</code>
and optionally writes it as a file with method 1. 
<code>FileName</code> : The name of the file to which the mesh will be written.
If is an empty string (""), no file will be written. If a file name is given, the macro 
will first check if it already exists. If that is so, it will expect a 
mesh2 with the name "Surface" and try to parse the existing file.
<dt><code>SweepSpline2(Track,Shape,Waist,U,V,Filename)</code>
<dd>Generates a mesh2 object by extruding a spline <code>Shape</code> along <code>Track</code>
and optionally writes it as a file with method 2. 
<code>FileName</code> : The name of the file to which the mesh will be written.
If is an empty string (""), no file will be written. If a file name is given, the macro 
will first check if it already exists. If that is so, it will expect a 
mesh2 with the name "Surface" and try to parse the existing file.
 

</dl>

Reference:Shapes3.inc

2013-04-17T21:49:33Z

Flohmuller:

Reference:Shapes3.inc

2013-04-17T21:48:47Z

Flohmuller:

Reference:Shapes3.inc

2013-04-17T21:38:35Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.

Segments of shapes:
<dl>
<dt><code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>
<dd>Segment of a torus around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis.Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>.
<code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis,
defined by the incircle radii:
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1.
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.
<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments) </code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge ) </code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code>
and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.
<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.
<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius radius <code>Edge_R</code>.

</dl>

Reference:Shapes3.inc

2013-04-17T21:34:24Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.

Segments of shapes:
<dl>
<dt><code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>
<dd>Segment of a torus around the y axis. The angle starts at positive x axis.</code>

<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis.
<dd>Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>.
<code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis,
defined by the incircle radii:
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1.
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.
<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments) </code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge ) </code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code>
and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.
<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.
<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius radius <code>Edge_R</code>.

</dl>

Reference:Shapes3.inc

2013-04-17T21:07:35Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.

Segments of shapes:

<code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>

Segment of a torus around the y axis. The angle starts at positive x axis.

<dl>
<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis. 
Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>.
<code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis,
defined by the incircle radii:
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1.
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.
<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments) </code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge ) </code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code>
and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.
<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.
<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius radius <code>Edge_R</code>.

</dl>

Reference:Shapes3.inc

2013-04-17T21:02:55Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.

Segments of shapes:

<dl>
<dt><code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>
Segment of a torus around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis. 
Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>.
<code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis,
defined by the incircle radii:
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1.
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.
<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments) </code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge ) </code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code>
and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.
<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.
<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius radius <code>Edge_R</code>.

</dl>

Reference:Shapes3.inc

2013-04-17T21:00:00Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.
Segments of shapes:
<dl>
<dt><code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>
Segment of a torus around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis. 
Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>.
<code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis,
defined by the incircle radii:
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1.
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.
<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments) </code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge ) </code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code>
and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.
<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.
<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius radius <code>Edge_R</code>.

</dl>

Reference:Shapes3.inc

2013-04-17T20:58:54Z

Flohmuller:

[[Category:Include Files]]
This file contains macros for segments of shapes, facetted shapes and others.
Segments of shapes:
<dl>
<dt><code>Segment_of_Torus ( R_major, R_minor, Segment_Angle )</code>
<dd>Segment of a torus around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_CylinderRing ( R_out, R_in, Height, Segment_Angle )</code>
<dd>Segment of a cylindrical ring around the y axis. The angle starts at positive x axis.

<dt><code>Segment_of_Object ( Segment_Object, Segment_Angle )</code>
<dd>Segment of an object around the y axis. The angle starts at positive x axis. 
Based on min_extend and max_extend.
</dl>

Angular shapes:
<dl>
<dt><code>Column_N (N, R_in, Height )</code>
<dd>A regular n-sided column around the y axis, defined by the incircle radius <code>R_in</code>.
<code>Height</code> is the height in y direction.

<dt><code>Column_N_AB (N, A, B, R_in)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radius <code>R_in</code>.

<dt><code>Pyramid_N (N, R_in_1, R_in_2, Height )</code>
<dd>A regular n-sided pyramid around the y axis,
defined by the incircle radii:
<code>R_in_1</code> at y = 0 and <code>R_in_2</code> at y = <code>Height</code>.

<dt><code>Pyramid_N_AB(N, A, R_in_A, B, R_in_B)</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.
</dl>

Facetted shapes:
<dl>
<dt><code>Facetted_Sphere (Quarter_Segments, Radial_Segments)</code>
<dd>A facetted sphere with incircle radius 1. 
<code>Quarter_Segments</code> = number of equitorial facetts in one quarter (1/2 of the total number). 
<code>Radial_Segments</code> = number of radial facetts.

<dt><code>Facetted_Egg_Shape (Quarter_Segments, Radial_Segments, Lower_Scale, Upper_Scale)</code>
<dd>A facetted egg shape. The number of facetts are defined analog to <code>Facetted_Egg_Shape()</code>. 
Equitorial incircle radius = 1.
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.
<dt><code>Facetted_Egg (N_Quarter_Segments, N_Radial_Segments) </code>
<dd>A facetted egg with total height = 2. Lower half scaled in y by 1.15, Upper half scaled in y by 1.55.
</dl>
Round shapes:
<dl>
<dt><code>Egg_Shape (Lower_Scale, Upper_Scale)</code>
<dd>An egg shape with equitorial radius 1. 
Lower half scaled in y by <code>Lower_Scale</code>,
Upper half scaled in y by <code>Upper_Scale</code>.

<dt><code>Egg</code>
<dd>Uses the macro Egg_Shape. 
Lower half scaled in y by 1.15, upper half scaled in y by 1.55.
</dl>
Wireframe shape (mostly also optionally filled:
<dl>
<dt><code>Ring_Sphere (Rmaj_H, Rmaj_V, Rmin_H, Rmin_V, Number_of_Rings_horizontal, Number_of_Rings_vertical)</code>
<dd>A wireframe sphere by vertical and horizontal torii. 
Horizontal tori: equatorial radius major <code>Rmaj_H</code>, radius minor <code>Rmin_H</code>. 
Vertical tori: radius major <code>Rmaj_V</code>, radius minor <code>Rmin_V</code>.

<dt><code>Round_Pyramid_N_out (N, A, CornerR_out_A, B, CornerR_out_B, R_Border, Filled, Merge ) </code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the outcircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>.

<dt><code>Round_Pyramid_N_in (N, A, FaceR_in_A, B, FaceR_in_B, R_Border, Filled, Merge_On )</code>
<dd>A regular n-sided column from point <code>A</code> to point <code>B</code>,
defined by the incircle radii:
<code>R_in_A</code> at point <code>A</code> and <code>R_in_B</code> at point <code>B</code>..

<dt><code>Round_Cylinder_Tube( A, B, R_out, R_border, Filled, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>,
with the outer radius <code>R_out</code> and the border radius <code>R_border</code>.
The inner radius is <code>R_out - R_border</code>. 
With <code>Filled</code> = 1 we get a <code>Round_Cylinder</code>.

<dt><code>Rounded_Tube( R_out, R_in, R_Border, Height, Merge)</code>
<dd>A cylindrical tube around the y axis with the <code>Height</code> in y, with the outer radius <code>R_out</code>, the inner radius <code>R_in</code>
and the radius of the rounded borders <code>R_border</code>.

<dt><code>Rounded_Tube_AB( A, B, R_out, R_in, R_Border, Merge)</code>
<dd>A cylindrical tube from point <code>A</code> to point <code>B</code>. 
The outer radius is <code>R_out</code>, the inner radius is <code>R_in</code>
and the radius of the rounded borders is <code>R_border</code>.

<dt><code>Round_Conic_Torus( Center_Distance, R_upper, R_lower, R_border, Merge)</code>
<dd>A toroid ring the z axis,
with the lower torus part at y = 0 and the upper part at y = Center_Distance. 
The radius of the lower part is <code>R_lower</code>,
the radius of the lower part is <code>R_lower</code>
The minor radius of the toroid is <code>R_border</code>.
<dt><code>Round_Conic_Prism( Center_Distance, R_upper, R_lower, Length_Zminus, R_Border, Merge)</code>
<dd>A shape of the toroidal form like <code>Round_Conic_Torus()</code>,
but filled and in the negativ z direction with the length <code> Length_Zminus</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder1( Length, R_out, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with round ends.
The borders have a minor radius <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>.
<dt><code>Half_Hollowed_Rounded_Cylinder2( Length, R_out, R_corner, R_border, BorderScale, Merge)</code>
<dd>A hollowed half rounded cylinder with the <code>Length</code> in x, of the outer radius <code>R_out</code>, with flat ends.
The corners have a minor radius of <code>R_corner</code>,
the borders have a minor radius of <code>R_border</code> with the scale in y <code>BorderScale</code>. 
The inner radius is <code>R_out - R_border</code>, the inner lenght is <code>Length - 2*R_border</code>.
<dt><code>Round_N_Tube_Polygon (N, Tube_R, R_incircle, Edge_R, Filled, Merge)</code>
<dd>A regular polygon with <code>N</code> edges (or corners) with incircle radius <code>R_incircle</code>,
formed by a tube with the minor radius <code>Tube_R</code>.
The corners are formed by torus segments with the major radius radius <code>Edge_R</code>.

</dl>