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pro vyhledávání: '"Conway, John H."'
This document consists of the collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 17-28, 1991. The w
Externí odkaz:
http://arxiv.org/abs/1804.03055
Autor:
Boklan, Kent D., Conway, John H.
We provide compelling evidence that all Fermat primes were already known to Fermat.
Externí odkaz:
http://arxiv.org/abs/1605.01371
Publikováno v:
Experimental Mathematics 16 (2007), 313-320
We prove that the D_4 root system (equivalently, the set of vertices of the regular 24-cell) is not a universally optimal spherical code. We further conjecture that there is no universally optimal spherical code of 24 points in S^3, based on numerica
Externí odkaz:
http://arxiv.org/abs/math/0607447
We study a construction of the Mathieu group $M_{12}$ using a game reminiscent of Loyd's ``15-puzzle''. The elements of $M_{12}$ are realized as permutations on~12 of the~13 points of the finite projective plane of order~3. There is a natural extensi
Externí odkaz:
http://arxiv.org/abs/math/0508630
We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic''. We construct a convenient basis for the vector space over Q generated by these angles. Geodetic an
Externí odkaz:
http://arxiv.org/abs/math-ph/9812019