No acute tetrahedron is an 8-reptile

H.J. Haverkort

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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 languageEnglish
Number of pages6
Publication statusPublished - 2015

Publication series

Volume1508.03773 [cs.CG]


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