Definition:Polytope

Definition

A polytope is an $n$-dimensional generalization of a polygon and polyhedron, for $n \in \Z_{>0}$.

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Also see

• Definition:Simplex

Historical Note

The word polytope was coined by Alicia Boole Stott, who did a considerable amount of groundbreaking research on their properties.

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5$
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Entry: polytope
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: polytope
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: polytope

• Weisstein, Eric W. "Polytope." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Polytope.html