### Abstract

Original language | English |
---|---|

Publisher | s.n. |

Number of pages | 6 |

Publication status | Published - 2015 |

### Publication series

Name | arXiv |
---|---|

Volume | 1508.03773 [cs.CG] |

### Fingerprint

### Cite this

*No acute tetrahedron is an 8-reptile*. (arXiv; Vol. 1508.03773 [cs.CG]). s.n.

}

*No acute tetrahedron is an 8-reptile*. arXiv, vol. 1508.03773 [cs.CG], s.n.

**No acute tetrahedron is an 8-reptile.** / Haverkort, H.J.

Research output: Book/Report › Report › Academic

TY - BOOK

T1 - No acute tetrahedron is an 8-reptile

AU - Haverkort, H.J.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

M3 - Report

T3 - arXiv

BT - No acute tetrahedron is an 8-reptile

PB - s.n.

ER -