Math for a geodesic sphere

Question

I\'m trying to create a very specific geodesic tessellation, but I can\'t find anything online about it.

It is normal to subdivide the triangles of an icosahedron in

Answer 1

Marcelo,

The most-commonly employed geodesic tessellations are either Class-I or Class-II. The image you reference is of a Class-III tessellation, more-specifically, 4v{3,1}. The classes can be diagrammed, so:

Class-III tessellations are chiral, and can have left-handed or right-handed twist. Here's the mirror-image of the sample you referenced:

You can find some 3D models of Class-III spheres, at Google's 3D Warehouse: http://sketchup.google.com/3dwarehouse/cldetails?mid=b926c2713e303860a99d92cd8fe533cd

Being properly identified should get you off to a good start.

Feel free to stop by the Geodesic Help Group; http://groups.google.com/group/GeodesicHelp?hl=en

TaffGoch