Xovimat playing cards: why some packs are the same size.
Version of 29 October 2007.
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Because it is not obvious why two packs should have the same number of cards when the floor of one equals the valence of the other, we give an example using packs 6-5-4-3 and 6-5-4, which are enumerated in the table below. Pack 6-5-4-3 is shown by increasing serial, and 6-5-4 decreasing. Within each row of the table, each possible pip count (0, 1, 2, 3, 4, 5 or 6) appears among one card's indices or the other's.

6-5-4-3 pack6-5-4 pack
SerialIndexIndexSerial
03-2-1-06-5-434
14-2-1-06-5-333
24-3-1-06-5-232
34-3-2-06-5-131
44-3-2-16-5-030
55-2-1-06-4-329
65-3-1-06-4-228
75-3-2-06-4-127
85-3-2-16-4-026
95-4-1-06-3-225
105-4-2-06-3-124
115-4-2-16-3-023
125-4-3-06-2-122
135-4-3-16-2-021
145-4-3-26-1-020
156-2-1-05-4-319
166-3-1-05-4-218
176-3-2-05-4-117
186-3-2-15-4-016
196-4-1-05-3-215
206-4-2-05-3-114
216-4-2-15-3-013
226-4-3-05-2-112
236-4-3-15-2-011
246-4-3-25-1-010
256-5-1-04-3-29
266-5-2-04-3-18
276-5-2-14-3-07
286-5-3-04-2-16
296-5-3-14-2-05
306-5-3-24-1-04
316-5-4-03-2-13
326-5-4-13-2-02
336-5-4-23-1-01
346-5-4-32-1-00