Impossible-Seeming Surfaces Confirmed Decades After Conjecture - Quanta Magazine

Using ideas borrowed from graph theory, two mathematicians have shown that extremely complex surfaces are easy to traverse.

In 1969, Jeff Cheeger proved that the spectral gap on surfaces is related to how easy it is to cut the surface in half. Buser later strengthened Cheegers result, making the spectral gap a handy barom… [+5613 chars]

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