Abstract
| 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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No acute tetrahedron is an 8-reptile. / Haverkort, H.J.
s.n., 2015. 6 p. (arXiv; Vol. 1508.03773 [cs.CG]).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 -