NOTE: check out the more recent post on this subject. The default poly sphere primitives in Maya have poles at the top and bottom. There is a simple technique to create a sphere with uniform distribution of triangles with no poles. This is especially useful for dynamics applications, such as with nCloth. 1. MENU "Create: Polygon Primitives: Platonic Solids" In the options set the platonic type to "octahedron". 2. MENU "Mesh: Smooth" Then increase the subdivision levels on the polySmoothFace node
There is also a second method to get pretty much the same topology: 1. MENU "Create: Subdiv Primitives: Sphere" 2. MENU "Modify: Convert: Subdiv to Poly" Then on the subdivToPoly node increase the depth attribute. Note that to create the image above, I assigned a toon line line to the spheres then on the pfxToonShape turned off profileLines and under Crease Lines turned off "Hard Creases Only", setting the crease angle min/max both to zero. This is a simple way of rendering all poly mesh edges as lines.