Monostatic simplexes. II (Q1386692)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Monostatic simplexes. II |
scientific article; zbMATH DE number 1156567
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monostatic simplexes. II |
scientific article; zbMATH DE number 1156567 |
Statements
Monostatic simplexes. II (English)
0 references
20 April 1999
0 references
A polytope whose center of gravity lies over only one of its facets is called monostatic. The authors show that there is no monostatic simplex in \(\mathbb{R}^7\). More surprising, there is a simplex in \(\mathbb{R}^{11}\) that falls onto each of its facets in turn. [For part I see \textit{R. J. MacG. Dawson}, Am. Math. Mon. 92, 541-546 (1985; Zbl 0578.52006)].
0 references
special polytopes
0 references
monostatic simplex
0 references
