## New answers tagged polymath5

2

First, a brief story, then the punchline.
Elsewhere I mention a series of 0-1 matrices used for a combinatorial matrix result. This came about because of an aspiring undergraduate (Roger House) who was using a computer to search for 0-1 matrices of certain orders and determinant values.
He showed me a printout where he listed the first representative of ...

4

(Answer by John Mckay:) That the product of two conjugate (type 2A) involutions of the monster, M
lies in 9 conjugacy classes with order given by the coefficients of the highest root in affine E8, namely {1,2,3,4,5,6,4,2,3} -- and similarly for
E7 and E6 with 2.Baby and 3.F24' respectively -- was experimental with very
little evidence. See my note in Nature ...

6

In a remarkable article from 1989, "Self-similarity and hairiness in the Mandelbrot set", Milnor formulates a number of conjectures (related to Feigenbaum universality). Citing Lisa Goldberg and Tony Phillips in the preface to Topological Methods in Modern Mathematics (Milnor's 60th birthday Festschrift, 1993),
OF special note is an unconventional ...

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