No acute tetrahedron is an 8-reptile

H.J. Haverkort

No acute tetrahedron is an 8-reptile

H.J. Haverkort

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Abstract

An $r$-gentiling is a dissection of a shape into $r \geq 2$ parts which are all similar to the original shape. An $r$-reptiling is an $r$-gentiling of which all parts are mutually congruent. This article shows that no acute tetrahedron is an $r$-gentile or $r$-reptile for any $r <9$, by showing that no acute spherical diangle can be dissected into less than nine acute spherical triangles.

Original language	English
Publisher	s.n.
Number of pages	6
Publication status	Published - 2015

Publication series

Name	arXiv
Volume	1508.03773 [cs.CG]

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38865851282433Final published version, 193 KB

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