Follow
István Prok
István Prok
associate professor, Department of Geometry, Budapest University of Technology and Economics
Verified email at math.bme.hu
Title
Cited by
Cited by
Year
Classification of tile-transitive 3-simplex tilings and their realizations in homogeneous spaces
E Molnár, I Prok, J Szirmai
Non-Euclidean Geometries: János Bolyai Memorial Volume, 321-363, 2006
362006
A polyhedron algorithm for finding space groups
E Molnár, I Prok
Proceedings of Third Int. Conf. On Engineering Graphics and Descriptive …, 1988
241988
Classification of solid transitive simplex tilings in simply connected 3-spaces ii. Metric realizations of the maximal simplex tilings
E Molnár, I Prok, J Szirmai
Periodica Mathematica Hungarica 35, 47-94, 1997
191997
Classification of solid transitive simplex tilings in simply connected 3-spaces
E Molnár, I Prok, J Szirmai
Periodica Mathematica Hungarica 35 (1), 47-94, 1997
151997
Data structures and procedures for a polyhedron algorithm
I Prok
Periodica Polytechnica Mechanical Engineering 36 (3-4), 299-316, 1992
151992
Classification of solid transitive simplex tilings in simply connected 3-spaces, Part I, Colloquia Math. Soc. János Bolyai 63. Intuitive Geometry, Szeged (Hungary), 1991
E Molnár, I Prok
North-Holland, 1994
101994
HYPERBOLIC SPACEFORMS WITH'SCHLAFLI SOLID'(8, 8, 3)
E Molnar, I Prok
SYMMETRY-CULTURE AND SCIENCE 22 (1-2), 247-261, 2011
82011
Fundamental tilings with marked cubes in spaces of constant curvature
I Prok
Acta Mathematica Hungarica 71 (1-2), 1-14, 1996
71996
The Euclidean space has 298 fundamental tilings with marked cubes by 130 space groups
I Prok
Colloquia Math. Soc. J. Bolyai 63 (363-388), 63, 1994
71994
On maximal homogeneous 3-geometries—A polyhedron algorithm for space tilings
I Prok
Universe 4 (3), 49, 2018
52018
Visibility of the 4-dimensional regular solids, moving on the computer screen
J Katona, E Molnár, I Prok
Proc. 13th ICGG, Dresden, Germany, 2008
52008
DV cells and fundamental domains for crystallographic groups, algorithms, and graphic realizations
E Molnár, I Prok, J Szirmai
Mathematical and computer modelling 38 (7-9), 929-943, 2003
52003
The Gieseking manifold and its surgery orbifolds.
E Molnár, I Prok, J Szirmai
Novi Sad Journal of Mathematics 29, 187-197, 1999
51999
Higher-dimensional central projection into 2-plane with visibility and applications
J Katona, E Molnár, I Prok, J Szirmai
Kragujevac Journal of Mathematics 35 (36), 249-263, 2011
42011
Bestimmung der transitiven optimalen Kugelpackungen
I Molnár, I Prok, J Szirmai
Studia Scientiarum Mathematicarum Hungarica 39 (3-4), 443-483, 2002
42002
Surgeries of the Gieseking hyperbolic ideal simplex manifold
E Molnar, I Prok, J Szirmai
arXiv preprint arXiv:2004.12149, 2020
32020
On the constructibility of the axes of an ellipsoid: the construction of Chasles in practice
ÁG Horváth, I Prok
Journal of Geometry 109, 1-16, 2018
32018
The Euclidean visualization and projective modelling the 8 Thurston geometries
E Molnár, I Prok, J Szirmai
Stud. Univ. Zilina Math. Ser 27, 35-62, 2015
32015
From a nice tiling to theory and applications
E Molnár, I Prok, J Szirmai
BOOK OF ABSTRACTS, 57, 2019
22019
On maximal homogeneous 3-geometries and their visualization
E Molnár, I Prok, J Szirmai
Universe 3 (4), 83, 2017
22017
Animation of the 4-dimensional regular solids moving in the computer 2-screen with visibility and shading of 2-faces
M Emil, P István
Строительство и техногенная безопасность, 89-92, 2012
22012
Ideal simplices and double-simplices, their non-orientable hyperbolic manifolds, cone manifolds and orbifolds with Dehn type surgeries and graphic analysis
E Molnár, I Prok, J Szirmai
Journal of Geometry 112, 1-40, 2021
12021
Three-and four-dimensional regular 4-solids move in the computer 2-screen
E Molnár, I Prok
MATHEMATICS TEACHING FOR THE FUTURE, Josip Juraj Strossmayer University of …, 2013
12013
Equality in László Fejes Tóth’s triangle bound for hyperbolic surfaces
C Bavard, KJ Böröczky, B Farkas, I Prok, L Vena, G Wintsche
Acta Scientiarum Mathematicarum 77, 669-679, 2011
12011
Simply transitive optimal ball packings for the orientable crystallographic groups of the cubic system
I Prok, J Szirmai
Periodica Polytechnica Mechanical Engineering 47 (1), 57-64, 2003
12003
Packing Congruent Bricks into a Cube
AG Horváth, I Prok
Journal for Geometry and Graphics 5 (1), 1-11, 2001
12001
The football {5, 6, 6} and its geometries: from a sport tool to fullerens and further
E Molnár, I Prok, J Szirmai
arXiv preprint arXiv:1703.02264, 2017
2017
Optimal ball packings for crystallographic groups of the cubic crystal system and their Dirichlet-Voronoi cells
I Prok, J Szirmai
Zeitschrift für Kristallographie-Crystalline Materials 221 (1), 99-103, 2006
2006
Determination of transitive optimal ball packings for 29 space groups containing Coxeter reflections groups
E Molnar, I Prok, J Szirmai
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 39 (3-4), 443-483, 2002
2002
Hyperbolic crystal geometry, on the 200th anniversary of János Bolyai’s absolute geometry
E Molnár, I Prok, J Szirmai
23rd Scientific-Professional Colloquium on Geometry and Graphics Vinkovci, 3 …, 0
Surgeries of Gieseking Manifold via Computer Figures in C∞ for Hyperbolic Space H3
E Molnár, I Prok, J Szirmai
22nd Scientific-Professional Colloquium on Geometry and Graphics Ciovo …, 0
On compact non-Euclidean polyhedral manifolds-theory, applications and visualization
E Molnár, I Prok, J Szirmai
Book of Abstracts, 80, 0
Visual mathematics and geometry, the “final” step: projective geometry through linear algebra
E Molnár, I Prok, J Szirmai
HIGHER GOALS IN MATHEMATICS EDUCATION, 239, 0
THE GIESEKING MANIFOLD AND ITS SURGERY ORBIFOLDS
EMIPJ Szirmai
Polyhedron modelling and symmetry groups
I Prok
The system can't perform the operation now. Try again later.
Articles 1–35