Reference:Ovus - Revision history

Jholsenback: added precision default

2017-07-25T11:07:43Z

added precision default

Jholsenback: link to uv mapping

2017-07-16T21:06:18Z

link to uv mapping

Jholsenback: consistency

2017-07-15T15:46:01Z

consistency

Jholsenback: consistency update

2017-07-15T15:32:33Z

consistency update

Jholsenback: technical corrections

2017-07-15T15:21:32Z

technical corrections

Jholsenback: extended updates

2017-07-15T13:20:43Z

extended updates

Le Forgeron: remove the term citrus for lemon (the correct one).

2016-05-05T19:07:54Z

remove the term citrus for lemon (the correct one).

Le Forgeron: Adding precision about the minor radius of the lemon, at request of C-Lipka in p.general

2016-05-05T11:05:59Z

Adding precision about the minor radius of the lemon, at request of C-Lipka in p.general

Jholsenback: 1 revision: Reference Migration Initial Load

2012-03-15T19:07:39Z

1 revision: Reference Migration Initial Load

Jholsenback: 1 revision: Initial Load (TF)

2012-03-11T22:27:00Z

1 revision: Initial Load (TF)

New page

[[Category:Objects]]
[[Category:Finite Solid Primitives]]
{{#indexentry:ovus, keyword}}
{{#indexentry:keyword, ovus}}
<p>An <code>ovus</code> is a shape that looks like an egg. The syntax of the <code>ovus</code> object is:</p>
<pre>
OVUS:
ovus {
Bottom_radius, Top_radius
[OBJECT_MODIFIERS...]
}
</pre>

<table class="centered" width="700px" cellpadding="0" cellspacing="10">
<tr>
<td width="290px">
<p>Where <em><code>Bottom_radius</code></em> is a float value giving the radius of the bottom sphere and <em><code>Top_radius</code></em> is a float specifying the radius of the top sphere. The top sphere and the bottom sphere are connected together with a suitably truncated citrus (lemon), that is automatically computed so as to provide the needed continuity to the shape.</p>
</td>
<td>[[Image:RefImgOvus2D.png|center|125px]]</td>
<td>
<ul>
<li>The center of the top sphere lies on the top of the bottom sphere.</li>
<li>The bottom sphere of the <code>ovus</code> is centered at the origin.</li>
<li>The top sphere of the <code>ovus</code> lies on the y-axis.</li>
</ul>
</td>
</tr>
<tr>
<td></td>
<td><p class="caption">An ovus 2D section</p></td>
<td></td>
</tr>
</table>

<table class="centered" width="640px" cellpadding="0" cellspacing="10">
<tr>
<td>[[Image:RefImgOvus3D.png|center|620px]]</td>
</tr>
<tr>
<td><p class="caption">The ovus and it's constituent 3D shapes</p></td>
</tr>
</table>

<p>Whenever the top radius is bigger than twice the bottom radius, the <code>ovus</code> degenerates into a <code>sphere</code> with an offset center. There are a lot of variations in the shape of the <code>ovus</code>.</p>

<p class="Note"><strong>Note:</strong> According to the ratio of the radius, the pointy part is the smallest radius, but is <em>not</em> always on top!</p>

<table class="centered" width="690px" cellpadding="0" cellspacing="10">
<tr>
<td>[[Image:RefImgDemoOvus.jpg|center|670px]]</td>
</tr>
<tr>
<td><p class="caption">Evolution of ratio from 0 to 1.95 in 0.15 steps.</p></td>
</tr>
</table>

<p class="Note"><strong>Note:</strong> See the following <em>MathWorld</em> references for more information about the math behind how the <code>ovus</code> object is constructed.</p>
<ul>
<li>[http://mathworld.wolfram.com/Torus.html Torus]</li>
<li>[http://mathworld.wolfram.com/Lemon.html Lemon]</li>
<li>[http://mathworld.wolfram.com/SpindleTorus.html SpindleTorus]</li>
</ul>

@@ Line 12: / Line 12: @@
 </pre>
-<p>Where <em>Bottom_radius</em> is a float value giving the radius of the bottom sphere and <em>Top_radius</em> is a float specifying the radius of the top sphere. The top and bottom spheres are connected together with a suitably truncated lemon, or self intersection of a torus, that is automatically computed so as to provide the needed continuity to the shape. The <code>distance</code> is a float value that represents the length between the center of the two spheres, defaulting to <em>Bottom_radius</em>. The <code>radius</code> float value represents the inner circle of the connecting torus and it's default is twice the greater of either <em>Top_radius</em> or <em>Bottom_radius</em>. The <code>precision</code> float value is the tolerance used for the root solving of the connecting torus. If additional accuracy is required you can now add the <code>[[Reference:Sturm Object Modifier|sturm]]</code> object modifier.</p>
+<p>Where <em>Bottom_radius</em> is a float value giving the radius of the bottom sphere and <em>Top_radius</em> is a float specifying the radius of the top sphere. The top and bottom spheres are connected together with a suitably truncated lemon, or self intersection of a torus, that is automatically computed so as to provide the needed continuity to the shape. The <code>distance</code> is a float value that represents the length between the center of the two spheres, defaulting to <em>Bottom_radius</em>. The <code>radius</code> float value represents the inner circle of the connecting torus and it's default is twice the greater of either <em>Top_radius</em> or <em>Bottom_radius</em>. The <code>precision</code> float value is the tolerance used for the root solving of the connecting torus, and it's default is <code>1e-4</code>. If additional accuracy is required you can now add the <code>[[Reference:Sturm Object Modifier|sturm]]</code> object modifier.</p>
 <table class="centered" width="700px" cellpadding="0" cellspacing="10">

@@ Line 24: / Line 24: @@
        <li>The minor radius of the lemon is twice the largest radius</li>
        <li>The <code>distance</code> <em>must</em> be greater than or equal to <em>Bottom_radius</em></li>
-       <li>The <code>radius</code> <em>must</em> be greater than or equal to half the sum of <em>Bottom_radius</em>, <em>Top_radius</em> and <code>distance</code></li>
+       <li>The <code>radius</code> <em>must</em> be greater than or equal to half the sum of <em>Bottom_radius</em>, <em>Top_radius</em> and <em>Vertical_distance</em></li>
      </ul>
    </td>

@@ Line 12: / Line 12: @@
 </pre>
-<p>Where <em>Bottom_radius</em> is a float value giving the radius of the bottom sphere and <em>Top_radius</em> is a float specifying the radius of the top sphere. The top and bottom spheres are connected together with a suitably truncated lemon, or self intersection of a torus, that is automatically computed so as to provide the needed continuity to the shape. The <code>distance</code> is a float value that represents the length between the center of the two spheres, defaulting to <em>Bottom_radius</em>. The <code>radius</code> float value represents the inner circle of the connecting torus and it's default is twice the greater of either <em>Top_radius</em> or <em>Bottom_radius</em>. The <code>precision</code> float value is the tolerance used for the root solving of the connecting torus. Additionally <code>sturm</code> is now allowed as an object modifier.</p>
+<p>Where <em>Bottom_radius</em> is a float value giving the radius of the bottom sphere and <em>Top_radius</em> is a float specifying the radius of the top sphere. The top and bottom spheres are connected together with a suitably truncated lemon, or self intersection of a torus, that is automatically computed so as to provide the needed continuity to the shape. The <code>distance</code> is a float value that represents the length between the center of the two spheres, defaulting to <em>Bottom_radius</em>. The <code>radius</code> float value represents the inner circle of the connecting torus and it's default is twice the greater of either <em>Top_radius</em> or <em>Bottom_radius</em>. The <code>precision</code> float value is the tolerance used for the root solving of the connecting torus. If additional accuracy is required you can now add the <code>[[Reference:Sturm Object Modifier|sturm]]</code> object modifier.</p>
 <table class="centered" width="700px" cellpadding="0" cellspacing="10">

@@ Line 12: / Line 12: @@
 </pre>
-<p>Where <em>Bottom_radius</em> is a float value giving the radius of the bottom sphere and <em>Top_radius</em> is a float specifying the radius of the top sphere. The top and bottom spheres are connected together with a suitably truncated lemon, or self intersection of a torus, that is automatically computed so as to provide the needed continuity to the shape. The <code>distance</code> is a float value that represents the length between the center of the two spheres, defaulting to <em>Bottom_radius</em>. The <code>radius</code> float value represents the inner circle of the connecting torus and it's default is twice the <em>Bottom_radius</em>. The <code>precision</code> float value is the tolerance used for the root solving of the connecting torus. Additionally <code>sturm</code> is now allowed as an object modifier.</p>
+<p>Where <em>Bottom_radius</em> is a float value giving the radius of the bottom sphere and <em>Top_radius</em> is a float specifying the radius of the top sphere. The top and bottom spheres are connected together with a suitably truncated lemon, or self intersection of a torus, that is automatically computed so as to provide the needed continuity to the shape. The <code>distance</code> is a float value that represents the length between the center of the two spheres, defaulting to <em>Bottom_radius</em>. The <code>radius</code> float value represents the inner circle of the connecting torus and it's default is twice the greater of either <em>Top_radius</em> or <em>Bottom_radius</em>. The <code>precision</code> float value is the tolerance used for the root solving of the connecting torus. Additionally <code>sturm</code> is now allowed as an object modifier.</p>
 <table class="centered" width="700px" cellpadding="0" cellspacing="10">
@@ Line 19: / Line 19: @@
    <td>
      <ul>
-       <li>The center of the top sphere lies on the top of the bottom sphere.</li>
+       <li>The center of the top sphere lies on the top of the bottom sphere</li>
-       <li>The bottom sphere of the <code>ovus</code> is centered at the origin.</li>
+       <li>The bottom sphere of the <code>ovus</code> is centered at the origin</li>
-       <li>The top sphere of the <code>ovus</code> lies on the y-axis.</li>
+       <li>The top sphere of the <code>ovus</code> lies on the y-axis</li>
-       <li>The minor radius of the lemon is twice the largest radius.</li>
+       <li>The minor radius of the lemon is twice the largest radius</li>
      </ul>
    </td>
@@ Line 40: / Line 42: @@
 </tr>
 </table>
 <p class="Note"><strong>Note:</strong> According to the ratio of the radius, the pointy part is the smallest radius, but is <em>not</em> always on top!</p>

@@ Line 53: / Line 53: @@
 </tr>
 </table>
 <p class="Note"><strong>Note:</strong> See the following <em>MathWorld</em> references for more information about the math behind how the <code>ovus</code> object is constructed.</p>

@@ Line 3: / Line 3: @@
 {{#indexentry:ovus, keyword}}
 {{#indexentry:keyword, ovus}}
-<p>An <code>ovus</code> is a shape that looks like an egg. The syntax of the <code>ovus</code> object is:</p>
+<p>An <code>ovus</code> is a shape that looks like an egg. A {{Change}} in version 3.8 has extended the syntax of the <code>ovus</code> object by adding <code>radius</code>, <code>distance</code> and <code>precision</code> controls.</p>
 <pre>
-OVUS:
+ovus {
-  ovus {
+  Bottom_radius, Top_radius [radius Inner_radius] [distance Vertical_distance] [precision Root_tolerance]
-    Bottom_radius, Top_radius
+  [OBJECT_MODIFIERS...]
-    [OBJECT_MODIFIERS...]
 </pre>
 <table class="centered" width="700px" cellpadding="0" cellspacing="10">
 <tr>
    <td>[[Image:RefImgOvus2D.png|center|125px<!--left--->]]</td>
    <td>
@@ Line 28: / Line 27: @@
 </tr>
 <tr>
-   <td></td>
+   <td><p class="caption">An ovus 2D section</p></td>
    <td></td>
 </tr>

@@ Line 15: / Line 15: @@
 <tr>
    <td width="290px">
-     <p>Where <em><code>Bottom_radius</code></em> is a float value giving the radius of the bottom sphere and <em><code>Top_radius</code></em> is a float specifying the radius of the top sphere. The top sphere and the bottom sphere are connected together with a suitably truncated citrus (lemon), that is automatically computed so as to provide the needed continuity to the shape.</p>
+     <p>Where <em><code>Bottom_radius</code></em> is a float value giving the radius of the bottom sphere and <em><code>Top_radius</code></em> is a float specifying the radius of the top sphere. The top sphere and the bottom sphere are connected together with a suitably truncated lemon (self intersection of a torus), that is automatically computed so as to provide the needed continuity to the shape.</p>
    </td>
    <td>[[Image:RefImgOvus2D.png|center|125px<!--left--->]]</td>

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