## Tessellation of the Sphere

Posted by ubpdqn on February 12, 2011

There are 5 non-degenerate regular tessellations of the sphere (). They can be obtained by projecting the five regular Platonic polyhedra onto the sphere. The animated gif illustrates the tessellation of projection of the dodecahedron onto the sphere.

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This entry was posted on February 12, 2011 at 6:00 pm and is filed under Mathematica, Mathematics.
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## Yaroslav Bulatov said

That looks nice, it would be cool if you posted Mathematica notebooks for your visualizations!

## ubpdqn said

Thank you Yaroslav. As I expressed in the post ‘Novice’ and as you may directly attest with respect to the notebook I sent, I am not experienced in writing efficient code. However, I take your advice that sharing is also an opportunity to learn, improve and refine (as I have done by looking at your blog and notebooks).

In future, when I better understand WordPress and after editing the notebook (i.e. it will be stimulus to make better than impulsive coding), I will put links to notebooks.

## Sergio said

I was just looking for an image like this one. Can you tell me where I can get the code? I need an image of all the five platonic solids projected on the sphere, but I need them for printing, so in hight resolution format. Thanks in advance.

## ubpdqn said

Thank you Sergio. I had a major hard drive failure approximately 3 months ago. I will look through my backup files for this Mathematica notebook and email you.

I am sure you can generalise for the other platonic solids or do better. I am not sure when I will be able to do this, Kind regard

## Sergio said

Thanks a lot! I’ll keep my finger crossed…