Found 56 Documents (Results 1–56)
Finite 3-orbit polyhedra in ordinary space. II. (English) Zbl 1541.52019
Reviewer: Lionel Pournin (Paris)
On the enumeration of convex \(RR\)-polyhedra. (Russian. English summary) Zbl 1537.52015
On polyhedra with rhombic vertices and regular faces. (English. Russian original) Zbl 1531.52008
J. Math. Sci., New York 276, No. 6, 802-806 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 181, 112-117 (2020).
Finite 3-orbit polyhedra in ordinary space. I. (English) Zbl 07781580
Reviewer: Wei-Juan Zhang (Xi’an)
On the composite \(RR \)-polyhedra of the second type. (English. Russian original) Zbl 1510.52006
Sib. Math. J. 64, No. 2, 500-506 (2023); translation from Vladikavkaz. Mat. Zh. 24, No. 1, 100-108 (2022).
On a class of polyhedra with symmetrical vertex stars. (English. Russian original) Zbl 1498.52019
J. Math. Sci., New York 263, No. 3, 436-444 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 169, 88-97 (2019).
Reviewer: Carsten Schütt (Kiel)
Proper locally spherical hypertopes of hyperbolic type. (English) Zbl 1490.51007
J. Algebr. Comb. 55, No. 2, 355-392 (2022); correction ibid. 56, No. 1, 269-270 (2022).
Reviewer: Gordon Williams (Fairbanks)
Tight chiral polytopes. (English) Zbl 1483.52010
Reviewer: Wei-Juan Zhang (Xi’an)
Chiral polyhedra in 3-dimensional geometries and from a Petrie-Coxeter construction. (English) Zbl 1475.52019
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Chiral polytopes of full rank exist only in ranks \(4\) and \(5\). (English) Zbl 1470.52017
Reviewer: Rolf Schneider (Freiburg im Breisgau)
A chiral 5-polytope of full rank. (English) Zbl 1462.52021
Reviewer: Rolf Schneider (Freiburg im Breisgau)
On the completenes of the list of convex \(RR\)-polyhedra. (Russian. English summary) Zbl 1457.52015
Hereditary polyhedra with planar regular faces. (English) Zbl 1447.51023
Reviewer: Victor V. Pambuccian (Glendale)
The assembly problem for alternating semiregular polytopes. (English) Zbl 1447.51022
Reviewer: Victor V. Pambuccian (Glendale)
Regular polyhedra in the 3-torus. (English) Zbl 1408.51023
Reviewer: Peter McMullen (London)
Open problems on \(k\)-orbit polytopes. (English) Zbl 1475.51013
Reviewer: Gordon Williams (Fairbanks)
Chiral 4-polytopes in ordinary space. (English) Zbl 1385.52010
Reviewer: Peter McMullen (London)
MSC:
52B15
Skeletal geometric complexes and their symmetries. (English) Zbl 1382.52010
Reviewer: Robert Davis (East Lansing)
Wythoffian skeletal polyhedra in ordinary space. I. (English) Zbl 1357.51019
Reviewer: Agota H. Temesvári (Pécs)
Realising equivelar toroids of type \(\{4,4\}\). (English) Zbl 1352.52019
Reviewer: Peter McMullen (London)
Polytopes with preassigned automorphism groups. (English) Zbl 1357.52018
Reviewer: Victor Alexandrov (Novosibirsk)
Polyhedra, complexes, nets and symmetry. (English) Zbl 1341.52024
MSC:
52B10
Polygonal complexes and graphs for crystallographic groups. (English) Zbl 1325.51023
Connelly, Robert (ed.) et al., Rigidity and symmetry. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-0780-9/hbk; 978-1-4939-0781-6/ebook). Fields Institute Communications 70, 325-344 (2014).
Reviewer: S. Janicki
Rigidity of regular polytopes. (English) Zbl 1320.51022
Connelly, Robert (ed.) et al., Rigidity and symmetry. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-0780-9/hbk; 978-1-4939-0781-6/ebook). Fields Institute Communications 70, 253-278 (2014).
Icosahedral skeletal polyhedra realizing Petrie relatives of Gordan’s regular map. (English) Zbl 1278.51014
Barrel pseudotilings. (English) Zbl 1351.52023
Regular polytopes of nearly full rank. (English) Zbl 1269.51008
Discrete Comput. Geom. 46, No. 4, 660-703 (2011); addendum ibid. 49, No. 3, 703-705 (2013).
Regular polyhedra of index two. II. (English) Zbl 1237.52009
Reviewer: Dimitris P. Vartziotis (Ioannina)
Regular polyhedra of index two. I. (English) Zbl 1223.51030
Reviewer: Dimitris P. Vartziotis (Ioannina)
Regular polygonal complexes in space. I. (English) Zbl 1228.51030
Reviewer: Jenö Szirmai (Budapest)
Combinatorial structure of Schulte’s chiral polyhedra. (English) Zbl 1198.51010
Reviewer: Vasyl Gorkaviy (Kharkov)
Regular apeirotopes of dimension and rank 4. (English) Zbl 1178.52009
Reviewer: Vasyl Gorkaviy (Kharkov)
A new Petrie-like construction for abstract polytopes. (English) Zbl 1148.51005
Reviewer: Vasyl Gorkaviy (Kharkov)
Graphs of polyhedra; polyhedra as graphs. (English) Zbl 1111.51018
Reviewer: Egon Schulte (Boston)
Manifold structures on abstract regular polytopes. (English) Zbl 0817.51009
Reviewer: P.McMullen (London)
Realizations of regular apeirotopes. (English) Zbl 0812.51016
Reviewer: B.Kind (Bochum)
MSC:
51M20
Hermitian forms and locally toroidal regular polytopes. (English) Zbl 0711.51008
Reviewer: W.Kühnel
Regular polytopes from twisted Coxeter groups and unitary reflexion groups. (English) Zbl 0711.51007
Reviewer: W.Kühnel
Constructions for regular polytopes. (English) Zbl 0689.51009
Reviewer: W.Kühnel
The complete set of Jitterbug transformers and the analysis of their motion. (English) Zbl 0712.51017
Reviewer: J.Daneś
Realizations of regular polytopes. (English) Zbl 0676.51008
Reviewer: Imre Vermes (Budapest)
Regular polytopes from twisted Coxeter groups. (English) Zbl 0646.51023
Reviewer: P.McMullen
Regular polyhedra with hidden symmetries. (English) Zbl 0643.51022
Reviewer: E.Schulte
A combinatorially regular dodecahedron of genus 3. (English) Zbl 0625.52003
Reviewer: E.Jucovič
MSC:
52Bxx
On Coxeter’s regular skew polyhedra. (English) Zbl 0597.52005
Reviewer: P.McMullen
A combinatorial theory of Grünbaum’s new regular polyhedra. II: Complete enumeration. (English) Zbl 0588.51022
Reviewer: C.Garner
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