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

Published 22 Nov 2017 in math.CO | (1711.08497v1)

Abstract: In a famous short paper, Conway and Soifer show that $n<sup>2</sup> + 2$ equilateral triangles with edge length 1 can cover one with side $n + \epsilon$ . We provide a generalization to $d$ dimensions.

Abstract PDF Upgrade to Chat

Authors (1)

Michael J. Todd

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Paper Prompts

Top Community Prompts

Explain it Like I'm 14

off on

Knowledge Gaps

off on

Practical Applications

off on

Glossary

off on

Conceptual Simplification

off on

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Generate Now

Continue Learning

We haven't generated follow-up questions for this paper yet.

Generate Now

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

Summary

Paper to Video (Beta)

Whiteboard

Paper Prompts

Top Community Prompts

Open Problems

Continue Learning

Don't miss out on important new AI/ML research

Sign up for free to explore the frontiers of research

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