31 citations · 32 across the 8 of their papers we have counts for
4 papers · 1 filter
Conditional Probability of Derangements and Fixed Points
Sam Gutmann, Mark Mixer, Steven Morrow
The probability that a random permutation in is a derangement is well known to be . In this paper, we consider the condi…
Vertex-Faithful Regular Polyhedra
Gabe Cunningham, Mark Mixer
We study the abstract regular polyhedra with automorphism groups that act faithfully on their vertices, and show that each non-flat abstract regular polyhedron covers a "vertex-fai…
An extension of the classification of high rank regular polytopes
Maria Elisa Fernandes, Dimitri Leemans, Mark Mixer
Up to isomorphism and duality, there are exactly two non-degenerate abstract regular polytopes of rank greater than , one of rank and one of rank , with automorphis…
Hereditary Polytopes
Mark Mixer, Egon Schulte, Asia Ivic Weiss
Every regular polytope has the remarkable property that it inherits all symmetries of each of its facets. This property distinguishes a natural class of polytopes which are called…