### Some articles on *polytope, polytopes*:

Chiral Polytope

... In mathematics, there are two competing definitions for a chiral

... In mathematics, there are two competing definitions for a chiral

**polytope**... One is that it is a**polytope**that is chiral (or "enantiomorphic"), meaning that it does not have mirror symmetry ... By this definition, a**polytope**that lacks any symmetry at all would be an example of a chiral**polytope**...Polyhedral Combinatorics

... problems of counting and describing the faces of convex polyhedra and higher dimensional convex

... problems of counting and describing the faces of convex polyhedra and higher dimensional convex

**polytopes**... Mathematicians in this area study the combinatorics of**polytopes**for instance, they seek inequalities that describe the relations between the numbers of ... research into precise descriptions of the faces of certain specific**polytopes**(especially 0-1**polytopes**, whose vertices are subsets of a hypercube) arising ...Geometric Combinatorics

... include metric geometry of polyhedra, such as the Cauchy theorem on rigidity of convex

... include metric geometry of polyhedra, such as the Cauchy theorem on rigidity of convex

**polytopes**... The study of regular**polytopes**, Archimedean solids, and kissing numbers is also a part of geometric combinatorics ... Special**polytopes**are also considered, such as the permutohedron, associahedron and Birkhoff**polytope**...Two-dimensional Space - Two-dimensional Geometry -

... There exist infinitely many non-convex regular

**Polytopes**- Non-convex... There exist infinitely many non-convex regular

**polytopes**in two dimensions, whose Schläfli symbols consist of rational numbers {n/m} ...Chiral Polytope -

... Many

**Polytopes**Without Mirror Symmetry... Many

**polytopes**lack mirror symmetry, and in that sense form chiral**polytopes**... It is possible for**polytopes**to have a high degree of symmetry, but yet to lack mirror symmetry an example is the snub cube, which is vertex-transitive and ...Main Site Subjects

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