After receiving feedback on our first math t-shirt design (Support the Axiom of Choice), we have created a new design based on the same concept, but have incorporated one formulaic statement of the axiom of choice. We will add more specific details about this statement later. For now, please visit the Support Choice section of the WEAR MATH store to find Support Choice branded items (including the support choice design on an organic cotton t-shirt).

## Heawood’s Map Design (Math T-Shirt)

WEARMATH.COM is proud to release another awesome math t-shirt design. Heawood famously discovered that every map on a torus can be coloured with seven colours, and this is best possible, since the pictured map (Heawood’s Map) depicts a tiling of the torus with seven hexagons, every pair of which shares an edge.

Note that over the coming months we will be changing how the WEARMATH.COM math t-shirt store is organized. Rather than being organized by type of mathematics apparel, the math t-shirt store will be organized by design. This will allow us to provide you with a wider range of products to help you share wonderful mathematical ideas and images.

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## Petersen Graph 5-Edge Coloring Math T-Shirt

WEARMATH.COM is pleased to announce our latest design based on the 5-edge coloring of the Petersen graph.

In an earlier design, we used a 3-vertex coloring of the Petersen graph as the basis for the design. This property is not that remarkable though. However, it’s a fact that for the Petersen graph — that is, the automorphism group of the Petersen graph is isomorphic to the symmetric group on five letters and acts on the 5 edge color classes.

The Petersen graph 5-edge coloring math t-shirt design is available as a t-shirt, sweatshirt, long sleeve t-shirt, hoodie, ringer t-shirts, sleeveless t-shirt, and women’s t-shirt in a variety of colors.

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## Petersen Graph 3-Coloring Now on a T-Shirt

The Petersen graph is an undirected graph of with 10 vertices and 15 edges. In graph theory, it provides many counterexamples. The Petersen graph has many interesting properties:^{1}

- It’s nonplanar
- It has chromatic number 3
- It has crossing number 2
- It has orientable genus 1
- It has non-orientable genus 1
- It is a unit distance graph
- It is strongly regular
- It is symmetric
- It is one of only 13 cubic distance-regular graphs
- It has a Hamiltonian path but no Hamiltonian cycle
- It is the smallest vertex-transitive graph that is not a Cayley graph
- It has chromatic index 4

The list goes on….

You can now proudly wear a 3-coloring of the famous Petersen graph with the latest design from WEARMATH.COM.

You can purchase your Petersen Graph 3-Coloring t-shirt from the WEARMATH.COM store today! Available in multiple sizes and colors as a t-shirt, crewneck sweater, long sleeve t-shirt, hooded sweatshirt, women’s t-shirt, ringer t-shirt and as a sleeveless t-shirt for your vigorous theorem proving sessions at the mathematics institute

##### References

- Petersen Graph http://en.wikipedia.org/wiki/Petersen_graph Accessed 25/09/09.

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## Why Not Add A Snark To Your Wardrobe?

WEARMATH.COM is proud to announce the release of the Szekeres Snark design:

A Snark is a connected, bridgeless cubic graph with chromatic index equal to 4. The Szekeres Snark is the fifth known snark with 50 vertices and 75 edges. It was discovered by George Szekeres in 1973.^{1}

This design is available as a t-shirt, sweatshirt, long sleeve t-shirts, hooded sweatshirt, ringer t-shirt, sleeveless t-shirt, and women’s t-shirt in various colors from the WEARMATH.COM Math T-Shirt Store.

References:

- Szekeres, G. (1973). “Polyhedral decompositions of cubic graphs”. Bull. Austral. Math. Soc. 8: 367–387.