Talk Slides (2017-11-10.union): No Title

Three Cycles in 7 Dice

A		B		C		D		E		F		G		A
1	<	2	<	3	<	4	<	5	<	6	<	7		1
12	<	14		9	<	11	<	13		8	<	10	<	12
20		17	<	21		18		15	<	19		16	<	20
—		—		—		—		—		—		—		—
33		33		33		33		33		33		33		33

These dice exhibit three distinct cycles:

A < B < C < D < E < F < G < A

A < C < E < G < B < D < F < A

A < E < B < F < C < G < D < A

The faces sum to 33 on each die.

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