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Monostatic Simplexes III |
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| Authors: | Robert J MacG Dawson Wendy Finbow |
| Institution: | (1) Department of Mathematics and Computing Science, Saint Mary's University, Halifax, Nova Scotia, Canada, B3H 3C3;(2) Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4 |
| Abstract: | A polytope is said to be monostatic if its center of mass is above only one facet. We show that no monostatic simplex exists in eight or fewer dimensions, and there is no monostatic simplex in ten dimensions that falls sequentially onto all its facets. We also consider simplexes with mass concentrated in skeleta of uniform density. |
| Keywords: | monostatic simplex center of mass center of gravity |
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