You know how something can be 'over-engineered'? Well, I think some things are over-mathematicianed.
This bouncy ball, on sale for a couple of quid next to the tills at Mothercare, is a fine example. It's made of six rubber threads, woven together to make a shape with dodecahedral symmetry, such that each face has five different colours. Why six threads? So it can embody the outer automorphism group of \(S_6\)!
It was invented by Dick Esterle. This is my daughter's one; my dog has a bigger one.
I suppose I just admire the chutzpah of putting that address on something consumers see.
Imagine if you bought a book and on the last page it said
YOU ARE A CLASSIC CHUMP
This book cost us pennies to print.