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Home > 2012 Mathematical Art Exhibition

"K_7 embedded on a torus," by sarah-marie belcastro (Hadley, MA)

11" x 11" x 4.5", Knitted cotton (Reynolds Saucy), 2010

I am a mathematician who knits as well as a knitter who does mathematics. It has always seemed natural to me to combine mathematics and knitting, and it is inevitable that sometimes the results will be artistic rather than functional. The Heawood bound shows that K_7 is the largest complete graph that can embed on the torus. This is an embedding of K_7 on the torus with all vertices centered on the largest longitude. It is the second knitted instantiation of this embedding; this version is larger and has a larger face-to-edge proportion than the first, which was exhibited at Gathering for Gardner 7 in 2006. --- sarah-marie belcastro (Hadley, MA,

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American Mathematical Society