Interesting Esoterica

Spot it(R) Solitaire

Article by Donna A. Dietz
  • Published in 2013
  • Added on
The game of Spot it(R) is based on an order 7 finite projective plane. This article presents a solitaire challenge: extract an order 7 affine plane and arrange those 49 cards into a square such that the symmetries of the affine and projective planes are obvious. The objective is not to simply create such a deck already in this solved position. Rather, it is to solve the inverse problem of arranging the cards of such a deck which has already been created shuffled.

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keywords
dobble

BibTeX entry

@article{SpotitSolitaire,
	title = {Spot it(R) Solitaire},
	abstract = {The game of Spot it(R) is based on an order 7 finite projective plane. This
article presents a solitaire challenge: extract an order 7 affine plane and
arrange those 49 cards into a square such that the symmetries of the affine and
projective planes are obvious. The objective is not to simply create such a
deck already in this solved position. Rather, it is to solve the inverse
problem of arranging the cards of such a deck which has already been created
shuffled.},
	url = {http://arxiv.org/abs/1301.7058v1 http://arxiv.org/pdf/1301.7058v1},
	author = {Donna A. Dietz},
	comment = {},
	urldate = {2017-12-18},
	archivePrefix = {arXiv},
	eprint = {1301.7058},
	primaryClass = {math.HO},
	year = 2013,
	keywords = {dobble},
	collections = {Games to play with friends,Puzzles}
}