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arXiv · 1711.08497

Can $n^d + 1$ unit right $d$-simplices cover a right $d$-simplex with shortest side $n + ε$?

Michael J. Todd
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Abstract

In a famous short paper, Conway and Soifer show that $n^2 + 2$ equilateral triangles with edge length 1 can cover one with side $n + ε$. We provide a generalization to $d$ dimensions.

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Michael J. Todd. 2017-11-22. Can $n^d + 1$ unit right $d$-simplices cover a right $d$-simplex with shortest side $n + ε$?. https://arxiv.org/abs/1711.08497

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