T. Gosset: On the Regular and Semi-Regular Figures in Space of n Dimensions, Messenger of Mathematics, Macmillan, 1900
Coxeter called it the Witting polytope, after Alexander Witting.
The regular 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
The convex hull of these 24 elements in 4-dimensional space form a convex regular 4-polytope called the 24-cell.
The truncated 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
In geometry, a Hanner polytope is a convex polytope constructed recursively by Cartesian product and polar dual operations.
Demihypercube, an n-dimensional uniform polytope, also known as the n-hemicube
Stasheff's research contributions include the study of associativity in loop spaces and the construction of the associahedron (also called the Stasheff polytope), ideas leading to the theory of operads; homotopy theoretic approaches to Hilbert's fifth problem on the characterization of Lie groups; and the study of Poisson algebras in mathematical physics.
Ensemble Ars Nova de l'O.R.T.F., Marius Constant (cond.) (Syrmos; Polytope; Medea; Kraanerg); Choeur d'Hommes de l'O.R.T.F. (Medea); Orchestre Philharmonique de l'O.R.T.F., Charles Bruck (cond.) (Terretektorh; Nomos gamma).
The pentellated 6-simplex is one of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
These polytopes are a part of 35 uniform 6-polytopes based on the 3,3,3,3,3 Coxeter group, all shown here in A6 Coxeter plane orthographic projections.
In its original definition, it is a polyhedron with regular faces and a symmetry group which is transitive on its vertices, which is more commonly referred to today as a uniform polyhedron (this follows from Thorold Gosset's 1900 definition of the more general semiregular polytope).
In geometry, 2k1 polytope is a uniform polytope in n dimensions (n = k+4) constructed from the Coxeter group.
In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the Coxeter group, and having only regular polytope facets.