Regular polyhedra - old and new
From MaRDI portal
Publication:1248234
DOI10.1007/BF01836414zbMath0381.51012OpenAlexW2386238139MaRDI QIDQ1248234
Publication date: 1977
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/136670
Related Items (53)
On Coxeter's regular skew polyhedra ⋮ Realizations of lattice quotients of Petrie-Coxeter polyhedra ⋮ Locally spherical hypertopes from generalised cubes ⋮ Regular polyhedra in the 3-torus ⋮ Manifold structures on abstract regular polytopes ⋮ Realising equivelar toroids of type \(\{4,4\}\) ⋮ Regular polyhedra with hidden symmetries ⋮ Regular polytopes from twisted Coxeter groups ⋮ Wythoffian skeletal polyhedra in ordinary space. I ⋮ On a class of polyhedra with symmetrical vertex stars ⋮ Regular apeirotopes of dimension and rank 4 ⋮ Graphs of polyhedra; polyhedra as graphs ⋮ Barrel pseudotilings ⋮ Realizations of regular polytopes ⋮ Icosahedral skeletal polyhedra realizing Petrie relatives of Gordan's regular map ⋮ Skeletal geometric complexes and their symmetries ⋮ Polytopes with preassigned automorphism groups ⋮ Finite 3-orbit polyhedra in ordinary space. II ⋮ Finite 3-orbit polyhedra in ordinary space. I ⋮ On polyhedra with rhombic vertices and regular faces ⋮ The assembly problem for alternating semiregular polytopes ⋮ On the composite \(RR \)-polyhedra of the second type ⋮ Chiral 4-polytopes in ordinary space ⋮ Hereditary polyhedra with planar regular faces ⋮ Regular polytopes of nearly full rank ⋮ Regular polytopes from twisted Coxeter groups and unitary reflexion groups ⋮ Hermitian forms and locally toroidal regular polytopes ⋮ Chiral polyhedra in 3-dimensional geometries and from a Petrie-Coxeter construction ⋮ Unnamed Item ⋮ A new Petrie-like construction for abstract polytopes ⋮ Open problems on \(k\)-orbit polytopes ⋮ Regular polyhedra of index two. I. ⋮ Combinatorial structure of Schulte's chiral polyhedra ⋮ A chiral 5-polytope of full rank ⋮ Regular polyhedra of index two. II. ⋮ A combinatorially regular dodecahedron of genus 3 ⋮ Constructions for regular polytopes ⋮ Regular polygonal complexes in space, I ⋮ A finite chiral 4-polytope in \(\mathbb R^4\) ⋮ Chiral polytopes of full rank exist only in ranks \(4\) and \(5\) ⋮ Polyhedra, complexes, nets and symmetry ⋮ Tight chiral polytopes ⋮ The complete set of Jitterbug transformers and the analysis of their motion ⋮ Regular polygonal complexes in space, II ⋮ A combinatorial theory of Gruenbaum's new regular polyhedra. I: Gruenbaum's new regular polyhedra and their automorphism group ⋮ Unnamed Item ⋮ Rigidity of Regular Polytopes ⋮ Polygonal Complexes and Graphs for Crystallographic Groups ⋮ Contracted \(k\)-tessellations of closed surfaces ⋮ Regular incidence-polytopes with Euclidean or toroidal faces and vertex- figures ⋮ Proper locally spherical hypertopes of hyperbolic type ⋮ A combinatorial theory of Grünbaum's new regular polyhedra. II: Complete enumeration ⋮ Realizations of regular apeirotopes
Cites Work
This page was built for publication: Regular polyhedra - old and new
