The Platonic Solids Group Theoretical Treatment & Bounded Region Exercises

You can find quite a few reference materials for this online.

Write a paper with uploaded pictures. A “paper” means an expository essay with perhaps as much math as a typical homework assignment. In contrast to a homework assignment, this writing should explain the significance of computations in words, and also add commentary to the mathematics. Write about the topic as if you are to be explaining it to yourself in a year or two.

Need this in a word document (if there are equations, please use Latex to type) . If you upload images from external site, please cite references in APA style.

• Explore the rotational symmetries of one or more of the platonic solids that we did
not cover in class. There are five such solids:
We studied the tetrahedron and the cube. In studying the symmetry group of a platonic
solid, you should explain the different types of symmetries (and include some pictures),
and realize the group as a subgroup of permutations. You can then also study some of
its subgroups (which ones are normal?) and look for any homomorphisms to smaller
groups. (Compare Lecture 16.)