Abstract
We prove that the infinite process of iterated barycentric subdivision, when applied to a tetrahedron, produces a dense set of shapes of smaller tetrahedra.
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Schwartz, R. The Density of Shapes in Three-Dimensional Barycentric Subdivision. Discrete Comput Geom 30, 373–377 (2003). https://doi.org/10.1007/s00454-003-2823-y
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DOI: https://doi.org/10.1007/s00454-003-2823-y