[qiscfner] 60 card deck

The automorphism group of an icosahedron -- the orientations of an icosahedron -- suggests a 60-card deck, or 120 if including reflections.  5 suits; 12 cards per suit.  Each card could be annotated with its neighbors, and its antipode.

Unsure how to depict the group operation: two cards can be added to yield a third card.  Maybe instead highlight the permutations of the alternating group A5.

Relatedly, the K6T deck has 120 cards; 20 in 6 suits.

The permutations of a 60 card deck can encode 272 bits; a 120-card deck 660 bits. 100 cards = 524 bits.