Kleetope

In geometry and polyhedral combinatorics, the Kleetope of a polyhedron or higher-dimensional convex polytope P is another polyhedron or polytope PK formed by replacing each facet of P with a pyramid.[1] In some cases, the pyramid is chosen to have regular sides, often producing a non-convex polytope; alternatively, by using sufficiently shallow pyramids, the results may remain convex. Kleetopes are named after Victor Klee,[2] although the same concept was known under other names long before the work of Klee.[3]

  1. ^ Grünbaum (1963, 1967).
  2. ^ Malkevitch, Joseph, People Making a Difference, American Mathematical Society.
  3. ^ Brigaglia, Palladino & Vaccaro (2018).