Publikációs lista hivatkozásokkal
Prok István
2014. július 31.
[1] – E. Molnár: A polyhedron algorithm for finding space
groups. 3rd Int. Conf.
on Engineering Graphics and Descriptive Geom. Proceedings (Vienna 1988) Vol. 2,
37–44.
▪ MR 90g: 51018 – R. L. E.
Schwarzenberger
▪ M. Stojanović, Annales
Univ. Sci. Budapest, Sect. Math. 36 (1993), 85–102.
▪ M. Stojanović, Collections of scientific
papers of the Faculty of Science Kragujevac,
16 (1994), 105–114.
▪ M. Stojanović, Mat. Vesnik 49/1
(1997), 59–68
▪ M. Stojanović, Novi Sad J. Math. 29/3 (1999), 337–348.
▪ M. Stojanović, Filomat 24/1 (2010), 1–19.
▪ M. Stojanović, Filomat 28/3 (2014), 557–577.
[2] – E. Molnár: Classification
of solid transitive simplex tilings in simply connected
3-spaces. I. The combinatorial description
by figures and tables, results in spaces of constant
curvature. Colloquia
Math. Soc. János Bolyai 63
Intuitive Geometry,
Szeged (Hungary) 1991 (North–Holland Co.,
Amsterdam – Oxford – New York) (1994) 311–362.
□ OTKA 1615
(1991)
▪ Zbl. 821. 52004 – M. Lassak
▪ MR 97e: 52036 – R. Ding
▪ M. Stojanović, Annales
Univ. Sci. Budapest, Sect. Math. 36 (1993),
85–102.
▪ J. Szirmai, Annales Univ. Sci. Budapest, Sect. Math. 37 (1994),
171–184.
▪ M. Stojanović, Collections of scientific
papers of the Faculty of Science Kragujevac,
16 (1994), 105–114.
▪ J. Szirmai, Acta Math. Hung. 73 (3) (1996), 247–261.
▪ J. Szirmai, Annales Univ. Sci. Budapest, Sect. Math. 39 (1996),
145–162.
▪ M. Stojanović, Mat. Vesnik 49/1
(1997), 59–68.
▪ O. Delgado-Friedrichs – D. H.
Huson, Discrete Comput.
Geom. 21 (1999), 299–315.
▪ M. Stojanović, Novi Sad J. Math. 29/3 (1999), 337–348.
▪ O. Delgado-Friedrichs, Theor. Comput. Sci. 303 No 2-3 (2003),
431–445.
▪ M. Stojanović, Filomat 24/1 (2010), 1–19.
▪ M. Stojanović, Filomat 28/3 (2014), 557–577.
[3] Kocka alaptartományú euklideszi kristálycsoportok. Alkalmazott
Matematikai Lapok 16 (1992) 321–338.
▪ MR 95h: 51024 – I. Bárány
[4] The Euclidean space
has 298 fundamental tilings
with marked cubes by 130 space
groups. Colloquia Math. Soc. János Bolyai 63 Intuitive
Geometry, Szeged (Hungary) 1991 (North–Holland Co., Amsterdam – Oxford – New York) (1994),
363–388.
□ OTKA 1615
(1991)
▪ Zbl. 820. 52014 – Á. G. Horváth
▪ MR 97a: 52043 – O. V. Shvartsman
▪ E. Molnár, Beiträge zur Algebra
und Geometrie, Vol. 35
(1994), No. 2, 205–238.
▪ O. Delgado Friedrichs – D. H.
Huson, Discrete Comput.
Geom. 21 (1999), 299–315.
[5] Data structures and procedures for a polyhedron algorithm. Periodica Polytechnica
Ser. Mech. Eng. 36
(3-4), (1992), 299–316.
□ OTKA 1615
(1991)
▪ Zbl. 798. 52008
▪ MR 96m: 52020
▪ E. Molnár, Publ. Math. Debrecen
46/3-4 (1995), 239–269.
▪ L. Ács – E. Molnár, PU.M.A. Vol. 13 (2002),
No. 1-2, 1–20.
▪ L. Ács – E. Molnár, Journal
for Geometry and Graphics Vol. 6
(2002), No. 1, 1–16.
▪ E. Molnár, Studies of the
University of Žilina Math.
Ser. 16 (2003), 67–80.
[6] Fundamental tilings
with marked cubes in spaces
of constant curvature. Acta Math. Hungar. 71 (1-2), (1996), 1–14.
□ OTKA 1615
(1991)
▪ Zbl. 858. 52009 – Ch. Leytem
▪ MR 97i: 20063 – I. Rivin
▪ B. Everitt, Topology and its Applications 138 (2004) 253–263.
▪ A. CaviccHioli – F. SPAGGIARI – A. I. TELLONI Topology
and its Applications 157
(2010) 921–931.
[7] Application of a polyhedron
algorithm for finding regular polyhedron tilings. 7th
Int. Conf. on Engineering Computer Graphics and
Descriptive Geom. Proceedings (Cracow 1996),
300–304.
[8] Discrete transformation
groups and polyhedra by computer. Spec. SEFI
Eu. Seminar on Geom. in
Engineering Education Proceedings
(Bratislava – Smolenice 1997), 139–145.
□ OTKA T 020498
(1996)
[9] – E. Molnár – J. Szirmai: Classification
of solid transitive simplex tilings in simply connected
3-spaces. II. Metric realizations
of the maximal simplex tilings. Periodica Math. Hung. 35 (1-2), (1997), 47–94.
□ OTKA~T~7351 (1993)
▪ Zbl. 916. 52008 – G. M. Ziegler
▪ MR 99j: 52026 – R. Ding
▪ M. Stojanović, Mat. Vesnik 49/1
(1997), 59–68.
▪ O. Delgado-Friedrichs – D. H.
Huson, Discrete Comput.
Geom. 21 (1999), 299–315.
▪ M. Stojanović, Novi Sad J. Math. 29/3 (1999), 337–348.
▪ L. Ács, PU.M.A. Vol. 11 (2000),
No. 2, 129–138.
▪ O. Delgado-Friedrichs, Theor. Comput. Sci. 303 No 2-3 (2003),
431–445.
▪ B. KLOTZEK – H. WENDLAND, Journal of Geometry. 71 (2001) No. 1-2, 85–98.
▪ E. Brieskorn – A. Pratoussevitch – F. Rothenhäusler, Mosc.
Math. J. 3 (2003) No. 2, 273–333.
▪ M. Stojanović, Filomat 24/1 (2010), 1–19.
▪ M. Stojanović, Kragujevac Journal of Mathematics
35/2 (2011), 303–315.
▪ M. Stojanović, Periodica Math. Hung. 67/1 (2013), 115–131.
▪ M. Stojanović, Filomat 28/3 (2014), 557–577.
[10] Classification of dodecahedral space forms. Beiträge zur Algebra und Geometrie 39
(1998), No.2, 497–515.
□ OTKA T 7351
(1993)
▪ Zbl. 926. 52021 – P. Schmitt
▪ MR 99i: 52029
▪ B. Everitt, Topology and its Applications 138 (2004) 253–263.
▪ A. CaviccHioli – F. SPAGGIARI – A. I. TELLONI Topology
and its Applications 157
(2010) 921–931.
[11] – E. Molnár – J. Szirmai: Two
families of fundamental
3-simplex tilings and their
realizations in various 3-spaces, Proceedings
of the Int. Sci. Conf. on Math.
Vol. 2 (Žilina,
Slovakia 1998), 43–64.
□ OTKA T
020498/1996
▪ Zbl. 936. 52009 – P. Schmitt
[12] – E. Molnár – J. Szirmai: The Gieseking manifold and its surgery orbifolds, Novi Sad J. Math. Vol. 29, No. 3, (1999) 187–197, XII. Yugoslav
Geometric Seminar, Novi Sad, October
8–11. 1998.
□ OTKA T
020498/1996
▪ Zbl. 947. 57019 – M. Stojanović
▪ MR 2001g: 57030 – K. P. Scannell
▪ Zbl. 1027(2004/02).51020 Johannes Böhm
▪ A. D. Mednykh – V. S. Petrov, Non-Euclidean
Geometries, János Bolyai Memorial
Volume, Ed. A. Prékopa and E. Molnár, Springer (2005), pp. 307–319.
[13] – E. Molnár – J.
Szirmai: Classification of hyperbolic
manifolds and related orbifolds with charts up to
two ideal simplices, Topics in Algebra, Analysis and Geometry, Gyula
Strommer National Memorial Conference,
Balatonfüred (Hungary) 1999, pp. 293–315.
□ OTKA T
020498/1996
▪ Zbl. 1027. 51020 – J. Böhm.
▪ A. D. Mednykh – V. S. Petrov, Non-Euclidean
Geometries, János Bolyai Memorial
Volume, Ed. A. Prékopa and E. Molnár, Springer (2005), pp. 307–319.
[14] Alaptartományszerű kövezések állandó görbületű terekben
szabályos poliéderekkel, BME TTK Alk. Mat. Szak, PhD értekezés 2000, megvédve 2001.
[15] – Á.G. Horváth: Packing congruent bricks into a cube.
Journal for Geometry and
Graphics 5/1 (2001), 1–11.
▪ Zbl. 1008. 52017 Summary
▪ MR 2002h: 52027 – Ch. Zong
[16] –
E.
Molnár – J.Szirmai: D-V cells and fundamental domains for crystallographic
groups, algorithms and graphic realizations, Math. and Comp. Modelling 38, Nos. 7-9,
929–943 (2003).
□ OTKA T 020498/1996
□ TÉT–DAAD
D-4/99
▪ Zbl. 1055.20041 Summary
▪ MR 2004m: 20099 Summary
[17] – E. Molnár – J. Szirmai: Bestimmung
der transitiven optimalen Kugelpackungen für die 29 Raumgruppen, die Coxetersche Spiegelungsuntergruppen enthalten,
Studia Sci. Math. Hung. 39 (2002)
443–483.
□ TÉT–DAAD
D-4/99
▪ Zbl.
1026. 52020
▪ MR 2004a: 52038 Summary
▪ E. Koch – H. Sowa – W. Fischer,
Acta Cryst. A61
(2005), 426–434.
[18] Polyhedron modelling and symmetry
groups. II. Magyar Számítógépes Grafika és
Geometria konferencia kiadványa (Budapest 2003) 78–82.
[19] – J. Szirmai: Simply transitive optimal
ball packings for the orientable crystallographic groups of the cubic system,
Periodica Polytechnika
Ser. Mech. Eng. Vol. 47, No. 1,
57–64, (2003).
□ TÉT–DAAD
D-4/99
▪ Zbl 1084.52516 Summary
[20] – E. Molnár – J.
Szirmai, Classification of tile-transitive
3-simplex tilings and their
realizations in homogeneous geometries, Non-Euclidean Geometries,
János Bolyai Memorial Volume,
Editors: A.
Prékopa and E. Molnár, Mathematics and Its Applications, Vol. 581,
Springer (2005), pp. 321–363.
▪ Zbl. 1103.52017 – J. Pfeifle
▪ MR 2006j:52025 – E. Zamorzaeva
▪ M. Stojanović, Filomat 24/1 (2010), 1–19.
▪ M. Stojanović, Filomat 28/3 (2014), 557–577.
[21] –
J. Szirmai: Optimal ball packings for
crystallographic groups of cubic crystal systems and their Dirichlet–Voronoi
cells. Zeitschrift für Kristallographie 221/1 (2006), 99–103.
[22] – J. KATONA – E. MOLNÁR: Visibility
of the 4-dimensional regular
solids moving ont he computer screen, Proceedings of the 13th
ICGG (Dresden, Germany,
2008).
[23] – E. MOLNÁR – J. SZIRMAI: Szimmetrikus kövezések végtelen
sorozata a hiperbolikus térben, Matematikai Lapok, Bolyai Emlékszám, Új
sorozat 16. (2010) 79–91.
▪ K. J. BÖRÖCZKY, Matematikai
Lapok 16. (Bolyai Emlékkötet, 2010), 62–79.
[24] – E. MOLNÁR: Hyperbolic Spaceforms on Schläfli
Solid (8, 8, 3), Symmetry:
Culture and Science 22:(1-2) (2011)
247–261.
▪ M. Stojanović, Filomat 24/1 (2010), 1–19.
▪ M. Stojanović, Filomat 28/3 (2014), 557–577.
[25] – C. BAVARD – K. J. BÖRÖCZKY – B. FARKAS – L. VENA – G.
WINTSCHE: Equality in
László Fejes Tóth’s triangle
bound for hyperbolic surfaces, Acta. Sci. Math. (Szeged) 77 (2011), 669–679.
[26] – J. KATONA – E. MOLNÁR – J. SZIRMAI: Higher-dimensional
central projection into
2-plane with visibility and
applications. Kragujevac
Journal of Mathematics 35:(2) (2011)
249–263.
[27] – E. MOLNÁR: Animation of the 4-dimensional regular solids moving in
the computer 2-screen with visibility and shading of 2 faces. Mezhdunarodnoi krymskoi konferencii, SED –
12, (Simferopol 2012) 89–92.
[28] – E. MOLNÁR: Multidimensional geometry and its applications in economics, Proceedings
of the 4th International Conference
of Economic Sciences
(Kaposvár 2013) 114–118.
[29] – E. MOLNÁR: The regular 4-solids move in the
computer 2-screen with visibility
and shading of 2-faces, Proceedings
of Symposium on Computer Geometry 21 (Kocovce
2013) 74–77.
[30] – E. MOLNÁR: Three- and four-dimensional regular 4-solids move in the computer 2-screen, Mathematics Teaching for the Future (Zagreb 2013) 173–185.
[31]
– J. KATONA – E. MOLNÁR – J. SZIRMAI: Visualization with visibility of
higher dimensional and non-Euclidean geometries, Proceedings of the
16th International Conference on Geometry and Graphics, Innsbruck,
Austria, 2014. Paper 60. 10 p.
[32]
– E. MOLNÁR – J. SZIRMAI: Visual mathematics and geometry, the "final"
step: projective geometry through linear algebra, Proceedings of the
5th International Scientific Colloquium Mathematics and Children,
(Teaching and Learning Mathematics), Osijek, Croatia, 2015. 10 p.