No acute tetrahedron is an 8-reptile
نویسنده
چکیده
An r-gentiling is a dissection of a shape into r ≥ 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.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 341 شماره
صفحات -
تاریخ انتشار 2018