Reference:Ovus
An ovus is a shape that looks like an egg. A Change in version 3.8 has extended the syntax of the ovus object by adding radius, distance and precision controls.
The syntax is as follows:
ovus {
Bottom_radius, Top_radius [radius Inner_radius] [distance Vertical_distance] [precision Root_tolerance]
[OBJECT_MODIFIERS...]
}
Where Bottom_radius is a float value giving the radius of the bottom sphere and Top_radius 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 distance is a float value that represents the length between the center of the two spheres, defaulting to Bottom_radius. The radius float value represents the inner circle of the connecting torus and it's default is twice the Bottom_radius. The precision float value is the tolerance used for the root solving of the connecting torus. Additionally sturm is now allowed as an object modifier.
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An ovus 2D section |
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The ovus and it's constituent 3D shapes |
Whenever the top radius is bigger than twice the bottom radius, the ovus degenerates into a sphere with an offset center. There are a lot of variations in the shape of the ovus.
Note: According to the ratio of the radius, the pointy part is the smallest radius, but is not always on top!
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Evolution of ratio from 0 to 1.95 in 0.15 steps. |
Note: See the following MathWorld references for more information about the math behind how the ovus object is constructed.