# zbMATH — the first resource for mathematics

## Journal for Geometry and Graphics

### Journal of the International Society for Geometry and Graphics

 Short Title: J. Geom. Graph. Publisher: Heldermann, Lemgo ISSN: 1433-8157 Online: http://www.heldermann.de/JGG/jggcon.htmhttps://www.emis.de/journals/JGG/ Comments: Indexed cover-to-cover
 Documents Indexed: 466 Publications (since 1997) References Indexed: 79 Publications with 977 References.
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#### Latest Issues

 25, No. 1 (2021) 24, No. 2 (2020) 24, No. 1 (2020) 23, No. 2 (2019) 23, No. 1 (2019) 22, No. 2 (2018) 22, No. 1 (2018) 21, No. 2 (2017) 21, No. 1 (2017) 20, No. 2 (2016) 20, No. 1 (2016) 19, No. 2 (2015) 19, No. 1 (2015) 18, No. 2 (2014) 18, No. 1 (2014) 17, No. 2 (2013) 17, No. 1 (2013) 16, No. 2 (2012) 16, No. 1 (2012) 15, No. 2 (2011) 15, No. 1 (2011) 14, No. 2 (2010) 14, No. 1 (2010) 13, No. 2 (2009) 13, No. 1 (2009) 12, No. 2 (2008) 12, No. 1 (2008) 11, No. 2 (2007) 11, No. 1 (2007) 10, No. 2 (2006) 10, No. 1 (2006) 9, No. 2 (2005) 9, No. 1 (2005) 8, No. 2 (2004) 8, No. 1 (2004) 7, No. 2 (2003) 7, No. 1 (2003) 6, No. 2 (2002) 6, No. 1 (2002) 5, No. 2 (2001) 5, No. 1 (2001) 4, No. 2 (2000) 4, No. 1 (2000) 3, No. 2 (1999) 3, No. 1 (1999) 2, No. 2 (1998) 2, No. 1 (1998) 1, No. 2 (1997) 1, No. 1 (1997)
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#### Authors

 17 Stachel, Hellmuth 12 Hoffmann, Miklós 11 Odehnal, Boris 10 Schröcker, Hans-Peter 10 Suzuki, Kenjiro 9 Hajja, Mowaffaq 8 Kimberling, Clark H. 8 Weiß, Gunter 7 Oxman, Victor 7 Sigler, Avi 7 Stupel, Moshe 6 Górska, Renata A. 6 Kondo, Kunio 6 Lang, Johann 6 Leopold, Cornelie 6 Mitani, Jun 6 Moses, Peter J. C. 6 Pech, Pavel 6 Yiu, Paul Y. H. 5 Gorjanc, Sonja 5 Nawratil, Georg 5 Stamatakis, Stylianos S. 4 Al-Zoubi, Hassan 4 Anghel, Nicolae 4 Bär, Gert F. 4 Čerin, Zvonko Tomislav 4 Glaeser, Georg 4 Juhász, Imre 4 Klawitter, Daniel 4 Koźniewski, Edwin 4 Lordick, Daniel 4 Maresch, Günter 4 Molnár, Emil 4 Nagae, Sadahiko 4 Okumura, Hiroshi 4 Shiina, Kumiko 4 Suzuki, Hirotaka 4 Szilvási-Nagy, Márta 4 Tachi, Tomohiro 4 Tsutsumi, Emiko 4 Wildberger, Norman John 4 Yamaguchi, Yasushi 3 Abu-Saymeh, Sadi 3 Bărbat, Călin-Şerban 3 Dirnböck, Hans 3 Gfrerrer, Anton 3 Honvault, Pascal 3 Juščákova, Zuzana 3 Katsuura, Hidefumi 3 Katunin, Andrzej 3 Koltsaki, Pelagia 3 Lávička, Miroslav 3 Martini, Horst 3 Mick, Sybille 3 Mohamed, Hesham Abdelmoez 3 Myrianthis, Konstantinos 3 Papadopoulou, Despina 3 Röschel, Otto 3 Ternullo, Maurizio 3 Toledo Santos, Eduardo 3 Wallner, Johannes 3 Wiltsche, Albert 3 Yoshida, Katsuyuki 2 Abdel-Baky, Rashad A. 2 Abe, Hirokazu 2 Alperin, Roger Charles 2 Bäsel, Uwe 2 Beban-Brkić, Jelena 2 Bölcskei, Attila 2 Branoff, Theodore J. 2 Breda d’Azevedo, Antonio J. 2 Buba-Brzozowa, Małgorzata 2 Clark, Aaron C. 2 Cocchiarella, Luigi 2 Conci, Aura 2 Daugulis, Peteris 2 Dias Velasco, Angela 2 Elsonbaty, Ahmed A. 2 Hagemann, Markus 2 Horváth, Ákos G. 2 Hung, Tran Quang 2 Jaillet, Fabrice 2 Kaffas, Ioannis 2 Kanamori, Yoshihiro 2 Korczak, Eugeniusz 2 Liu, Weizhong 2 Manfrin, Renato 2 Manhart, Friedrich 2 Matsuda, Koichi 2 Merikoski, Jorma Kaarlo 2 Monterde, Juan 2 Morita, Ken 2 Ohno, Yoshio 2 Popkonstantinović, Branislav 2 Prieto Adanez, Gerardo 2 Prieto, Gerardo 2 Prošková, Jitka 2 Pütz, Claus 2 Romakina, Lyudmila Nikolaevna 2 Rubinowicz, Paweł ...and 401 more Authors
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#### Fields

 301 Geometry (51-XX) 132 Computer science (68-XX) 93 Differential geometry (53-XX) 51 Mathematics education (97-XX) 49 Convex and discrete geometry (52-XX) 46 General and overarching topics; collections (00-XX) 25 Numerical analysis (65-XX) 15 Mechanics of particles and systems (70-XX) 13 Algebraic geometry (14-XX) 11 History and biography (01-XX) 8 Combinatorics (05-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Approximations and expansions (41-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

138 Publications have been cited 308 times in 269 Documents Cited by Year
Rational approximation of rotation minimizing frames using Pythagorean-hodograph cubics. Zbl 0976.53003
Mäurer, Christoph; Jüttler, Bert
1999
Pythagorean hodograph curves: a survey of recent advances. Zbl 1305.53008
Kosinka, Jiří; Lávička, Miroslav
2014
Flexible cross-polytopes in the Euclidean 4-space. Zbl 0977.52028
Stachel, Hellmuth
2000
Uniform maps on the Klein bottle. Zbl 1116.51012
Wilson, Steve
2006
Laguerre Voronoi diagram on the sphere. Zbl 1009.51007
Sugihara, Kokichi
2002
The convolution of a paraboloid and a parametrized surface. Zbl 1056.51016
Peternell, Martin; Manhart, Friedrich
2003
The harmonic analysis of polygons and Napoleon’s theorem. Zbl 0991.51009
Pech, Pavel
2001
Poristic loci of triangle centers. Zbl 1266.51024
Odehnal, Boris
2011
Freeform variations of origami. Zbl 1219.51019
Tachi, Tomohiro
2010
On the degenerated cases of architecturally singular planar parallel manipulators. Zbl 1171.70302
Nawratil, Georg
2008
The inspherical Gergonne center of a tetrahedron. Zbl 1075.51504
Hajja, Mowaffaq; Walker, Peter
2004
On piecewise linear approximation of quadratic functions. Zbl 0961.65011
Pottmann, Helmut; Krasauskas, Rimvydas; Hamann, Bernd; Joy, Kenneth; Seibold, Wolfgang
2000
Closed space curves of constant curvature consisting of arcs of circular helices. Zbl 1006.53002
Koch, Richard; Engelhardt, Christoph
1998
The effect of knot modifications on the shape of B-spline curves. Zbl 1004.53002
Juhasz, Imre; Hoffmann, Miklós
2001
Ceva’s and Menelaus’ theorems for the $$n$$-dimensional space. Zbl 0974.51016
Buba-Brzozowa, Malgorzata
2000
Non-orientable maps and hypermaps with few faces. Zbl 1054.05073
Wilson, Steve; Breda D’Azevedo, Antonio
2003
Equifaciality of tetrahedra whose incenter and Fermat-Torricelli center coincide. Zbl 1098.51014
Hajja, Mowaffaq; Walker, Peter
2005
On equiform Stewart Gough platforms with self-motions. Zbl 1291.53008
Nawratil, Georg
2013
Definition and calculation of an eight-centered oval which is quasi-equivalent to the ellipse. Zbl 1334.51010
Herrera, Blas; Samper, Albert
2015
Reflections on spheres and cylinders of revolution. Zbl 1059.65503
Glaeser, Georg
1999
Free-form surfaces for scattered data by neural networks. Zbl 0909.68150
1998
The single screw reciprocal to the general plane-symmetric six-screw linkage. Zbl 0900.70059
Baker, J. Eddie
1997
The development of the oloid. Zbl 0901.51017
Dirnböck, Hans; Stachel, Hellmuth
1997
On Wallace loci from the projective point of view. Zbl 1077.51010
Riesinger, Rolf
2004
Column-shaped origami design based on mirror reflections. Zbl 1261.68135
Mitani, Jun
2012
More on the Steiner-Lehmus theorem. Zbl 1223.51018
2010
Equioptic curves of conic sections. Zbl 1202.51022
Odehnal, Boris
2010
Subdivision algorithms for ruled surfaces. Zbl 1159.65309
Odehnal, Boris
2008
An angle criterion for conical mesh vertices. Zbl 1140.51306
Wang, Wenping; Wallner, Johannes; Liu, Yang
2007
The Monge point and the $$3(n+1)$$ point sphere of an $$n$$-simplex. Zbl 1098.51013
Buba-Brzozowa, Małgorzata
2005
Null polarities as generators of the projective group. Zbl 1317.51023
Klawitter, Daniel
2014
Symbiotic conics and quartets of four-foci orthogonal circles. Zbl 1355.51005
Ternullo, Maurizio
2016
Congruence theorems for quadrilaterals. Zbl 1397.51007
Laudano, Francesco; Vincenzi, Giovanni
2017
Svetlana ribbons with intersecting axes in a hyperbolic plane of positive curvature. Zbl 1359.51018
Romakina, Lyudmila
2016
Ruled surface generated by a curve lying on a regular surface and its characterizations. Zbl 1472.53011
Ouarab, Soukaina; Chahdi, Amina Ouazzani; Izid, Malika
2020
The ballet of triangle centers on the elliptic billiard. Zbl 1453.37024
Reznik, Dan S.; Garcia, Ronaldo; Koiller, Jair
2020
Improved free-form modelling of scattered data by dynamic neural networks. Zbl 0940.68146
Várady, Lajos; Hoffmann, Miklós; Kovács, Emőd
1999
Projection from 4D to 3D. Zbl 0956.51019
Zachariáš, Svatopluk; Velichová, Daniela
2000
Affine and projective generalization of Wallace lines. Zbl 0898.51013
Giering, Oswald
1997
On instantaneous rectilinear congruences. Zbl 1066.53036
2003
Counting Escher’s $$m\times m$$ ribbon patterns. Zbl 1110.52018
Fowler, J. Joseph; Gethner, Ellen
2006
Ortho-circles of Dupin cyclides. Zbl 1107.53003
Schrott, Michael; Odehnal, Boris
2006
A note on similar-perspective triangles. Zbl 1119.51006
Hajja, Mowaffaq; Martini, Horst
2006
A cylinder of revolution on five points. Zbl 1114.51017
Zsombor-Murray, Paul; El Fashny, Sawsan
2006
On the representation of Dupin cyclides in Lie sphere geometry with applications. Zbl 1187.68643
Lávička, M.; Vršek, J.
2009
Inflection and torsion line congruences. Zbl 1167.53014
2007
Necessary conditions for type-II DM self-motions of planar Stewart-Gough platforms. Zbl 1267.53010
Nawratil, Georg
2012
Closed space curves made from circles on polyhedra. Zbl 1266.51031
Kimberling, Clark; Moses, Peter J. C.
2011
Flexible octahedra in the projective extension of the Euclidean 3-space. Zbl 1235.52032
Nawratil, Georg
2010
Axiomatizing perpendicularity and parallelism. Zbl 1250.97008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
2011
A method for designing crease patterns for flat-foldable origami with numerical optimization. Zbl 1258.65062
Mitani, Jun
2011
Triply orthogonal line congruences with common middle surface. Zbl 1204.53010
2010
Blending curves. Zbl 1110.68157
Wiltsche, Albert
2005
On the Simson-Wallace theorem and its generalizations. Zbl 1101.51009
Pech, Pavel
2005
Equicevian points and cubics of a triangle. Zbl 1319.51021
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
2014
Characterizations of ruled surfaces in $$\mathbb{R}^{3}$$ and of hyperquadrics in $$\mathbb{R}^{n+1}$$ via relative geometric invariants. Zbl 1317.53009
Stamatakis, Stylianos; Kaffas, Ioannis; Papadopoulou, Ioanna-Iris
2014
Perspective concepts – exploring seeing and representation of space. Zbl 1317.51021
Leopold, Cornelie
2014
Geometry of axisymmetric 3D origami consisting of triangular facets. Zbl 1383.51037
Zhao, Yan; Kanamori, Yoshihiro; Mitani, Jun
2017
Ruled and quadric surfaces satisfying $$\Delta^{III}x = \Lambda x$$. Zbl 1359.53006
Al-Zoubi, Hassan; Stamatakis, Stylianos
2016
From A to B: new methods to interpolate two poses. Zbl 1426.70003
Schröcker, Hans-Peter
2018
Geometry and design of hexagonal spirals (Voronoi and other). Zbl 1394.51008
Myrianthis, Konstantinos
2017
Curved folding with pairs of cylinders. Zbl 1391.53005
Röschel, Otto
2017
Interactive 3D-representation of material mathematical models with WebGL. Zbl 06876418
Päßler, Robert; Lordick, Daniel
2017
Visualization of fractals based on regular convex polychora. Zbl 1326.52012
Katunin, Andrzej
2015
Classification of manifolds resulting as Minkowski operation products of basic geometric point sets. Zbl 1353.51020
Velichová, Daniela
2015
Two new analytical and two new geometrical solutions for the weighted Fermat-Torricelli problem in the Euclidean plane. Zbl 1326.51008
Zachos, Anastasios
2015
Curve flows on ruled surfaces. Zbl 1297.53045
Hagemann, Markus; Klawitter, Daniel; Odehnal, Boris
2013
Ruled surfaces asymptotically normalized. Zbl 1296.53020
Stamatakis, Stylianos; Kaffas, Ioannis
2013
Force driven ruled surfaces. Zbl 1288.53008
Hagemann, Markus; Klawitter, Daniel; Lordick, Daniel
2013
Rupert properties of polyhedra and the generalised Nieuwland constant. Zbl 1427.51004
Hoffmann, Balazs
2019
Common tangents to ellipse and circles, the 13-point circle and other theorems. Zbl 1433.51011
Ternullo, Maurizio
2019
The extended oloid and its contacting quadrics. Zbl 1336.53007
Bäsel, Uwe; Dirnböck, Hans
2015
Density of optimal packings of three ellipses in a square. Zbl 1334.52017
Honvault, Pascal
2015
Perspective between fiction and function: pattern mutations through science and art. Zbl 1331.00033
Cocchiarella, Luigi
2015
Some Moebius-geometric theorems connected to Euclidean kinematics. Zbl 0979.53016
Weiss, Gunter; Nestler, Karla; Meinl, Gert
1999
The rigidity rate of positions of Stewart-Gough platforms. Zbl 0998.52023
Lang, J.; Mick, S.; Röschel, O.
2001
Isometric invariants of conics in the isotropic plane-classification of conics. Zbl 1011.51018
Beban-Brkić, Jelena
2002
Two-parametric motions in the Lobatchevski plane. Zbl 1019.53003
Hlavová, Marta
2002
Generalized descriptive geometry. Zbl 1009.51013
Schreiber, Peter
2002
On curves and surfaces in illumination geometry. Zbl 0982.53007
Weiss, Gunter; Martini, Horst
2000
Descriptive geometry courses for students of architecture – on the selection of topics. Zbl 0971.51016
Pütz, Claus
2000
Subdivision of linear corner cutting curves. Zbl 0893.68157
Aumann, Günter
1997
$$(n,2)$$-axonometries and the contour of hyperspheres. Zbl 0904.51009
Weiss, Gunter
1997
Extension of the ’Villarceau-Section’ to surfaces of revolution with a generating conic. Zbl 1040.51023
Hirsch, Anton
2002
Geometric aspects of knot modification of $$B$$-spline surfaces. Zbl 1050.53006
Hoffmann, Miklós; Juhász, Imre
2002
A Voronoi poset. Zbl 1056.52008
Lindenbergh, Roderik
2003
Shapes of space curves. Zbl 1065.53002
2003
Explicit calculation methods for conjugate profiles. Zbl 1069.53011
Bär, Gert
2003
A note on Bang’s theorem on equifacial tetrahedra. Zbl 1071.51012
Hajja, Mowaffaq; Saidi, Fathi
2004
Error propagation through geometric transformations. Zbl 1076.51009
Hu, Shi-Min; Wallner, Johannes
2004
An investigation of an octahedral platform using equiform motions. Zbl 1081.53008
Hamdoon, Fathi M.; Abdel-All, N. H.
2004
Kinematic analysis of a pentapod robot. Zbl 1126.53007
Bär, Gert F.; Weiß, Gunter
2006
Towards van der Laan’s plastic number in the plane. Zbl 1192.51014
de Spinadel, V. W.; Buitrago, Redondo A.
2009
Notes on infinitesimal bending of a toroid formed by revolution of a polygonal meridian. Zbl 1191.53004
Velimirović, L. S.; Rančić, S. R.
2009
A unified proof of Ceva and Menelaus’ theorems using projective geometry. Zbl 1221.51027
Benítez, J.
2007
Gauss-Newton lines and eleven point conics. Zbl 1280.51008
Alperin, Roger C.
2012
General rules of fractals construction from polyhedra. Zbl 1268.28018
Katunin, Andrzej; Kurzyk, Dariusz
2012
A flexible planar tessellation with a flexion tiling a cylinder of revolution. Zbl 1266.51033
Stachel, Hellmuth
2012
Design of infinitesimally and finitely flexible origami based on reciprocal figures. Zbl 1266.52019
Tachi, Tomohiro
2012
Algorithm for the parameterization of rational curves revisited. Zbl 1272.14024
Bizzarri, Michal; Lávicka, Miroslav
2011
Space kinematics and projective differential geometry over the ring of dual numbers. Zbl 07424075
Siegele, Johannes; Pfurner, Martin; Schröcker, Hans-Peter
2021
Ruled surface generated by a curve lying on a regular surface and its characterizations. Zbl 1472.53011
Ouarab, Soukaina; Chahdi, Amina Ouazzani; Izid, Malika
2020
The ballet of triangle centers on the elliptic billiard. Zbl 1453.37024
Reznik, Dan S.; Garcia, Ronaldo; Koiller, Jair
2020
Rupert properties of polyhedra and the generalised Nieuwland constant. Zbl 1427.51004
Hoffmann, Balazs
2019
Common tangents to ellipse and circles, the 13-point circle and other theorems. Zbl 1433.51011
Ternullo, Maurizio
2019
A spatial version of the theorem of the angle of circumference. Zbl 1442.51006
Glaeser, Georg; Odehnal, Boris; Stachel, Hellmuth
2019
Three-dimensional Viviani theorem on a tetrahedron. Zbl 1439.51027
Katsuura, Hidefumi
2019
Geometric aspects of scalalogy. Zbl 1439.00037
Leopold, Cornelie
2019
From A to B: new methods to interpolate two poses. Zbl 1426.70003
Schröcker, Hans-Peter
2018
Ruled surfaces of finite Chen-type. Zbl 1403.53007
Al-Zoubi, Hassan; Al-Zu&rsquo;bi, Shadi; Stamatakis, Stylianos; Almimi, Hani
2018
Combinatorics of triangulated polyhedra. Zbl 1416.52005
Honvault, Pascal
2018
A proof of Pohlke’s theorem with an analytic determination of the reference trihedron. Zbl 1415.51032
Manfrin, Renato
2018
Theorems on two tetrahedrons intersecting a sphere. Zbl 1412.51013
Morita, Ken
2018
Congruence theorems for quadrilaterals. Zbl 1397.51007
Laudano, Francesco; Vincenzi, Giovanni
2017
Geometry of axisymmetric 3D origami consisting of triangular facets. Zbl 1383.51037
Zhao, Yan; Kanamori, Yoshihiro; Mitani, Jun
2017
Geometry and design of hexagonal spirals (Voronoi and other). Zbl 1394.51008
Myrianthis, Konstantinos
2017
Curved folding with pairs of cylinders. Zbl 1391.53005
Röschel, Otto
2017
Interactive 3D-representation of material mathematical models with WebGL. Zbl 06876418
Päßler, Robert; Lordick, Daniel
2017
Periodic fractal patterns. Zbl 1382.28007
Dunham, Douglas; Shier, John
2017
Vertex positions of the generalized orthocenter and a related elliptic curve. Zbl 1383.51002
Minevich, Igor; Morton, Patrick
2017
Addendum to: “Concurrency and collinearity in hexagons”. Zbl 1383.51010
Anghel, Nicolae
2017
A remarkable quartic pretzel curve. Zbl 1390.51011
Hasek, Roman
2017
On the invariance of Brocard angles in the interior and exterior Pappus triangles of any given triangle. Zbl 1383.51025
Oxman, Victor; Sigler, Avi; Stupel, Moshe
2017
Rotor coordinates and vector trigonometry. Zbl 1431.51016
Wildberger, Norman J.
2017
Symbiotic conics and quartets of four-foci orthogonal circles. Zbl 1355.51005
Ternullo, Maurizio
2016
Svetlana ribbons with intersecting axes in a hyperbolic plane of positive curvature. Zbl 1359.51018
Romakina, Lyudmila
2016
Ruled and quadric surfaces satisfying $$\Delta^{III}x = \Lambda x$$. Zbl 1359.53006
Al-Zoubi, Hassan; Stamatakis, Stylianos
2016
The parabola in universal hyperbolic geometry. II: Canonical points and the $$\mathcal Y$$-conic. Zbl 1348.51007
Alkhaldi, Ali; Wildberger, Norman J.
2016
Constructions in the absolute plane – to the memory of Gyula Strommer (1920–1995). Zbl 1345.51002
Molnár, Emil
2016
The history of the international conference on geometry and graphics – one person’s reflection. Zbl 1356.51001
Croft, Frank M.
2016
Definition and calculation of an eight-centered oval which is quasi-equivalent to the ellipse. Zbl 1334.51010
Herrera, Blas; Samper, Albert
2015
Visualization of fractals based on regular convex polychora. Zbl 1326.52012
Katunin, Andrzej
2015
Classification of manifolds resulting as Minkowski operation products of basic geometric point sets. Zbl 1353.51020
Velichová, Daniela
2015
Two new analytical and two new geometrical solutions for the weighted Fermat-Torricelli problem in the Euclidean plane. Zbl 1326.51008
Zachos, Anastasios
2015
The extended oloid and its contacting quadrics. Zbl 1336.53007
Bäsel, Uwe; Dirnböck, Hans
2015
Density of optimal packings of three ellipses in a square. Zbl 1334.52017
Honvault, Pascal
2015
Perspective between fiction and function: pattern mutations through science and art. Zbl 1331.00033
Cocchiarella, Luigi
2015
Pythagorean hodograph curves: a survey of recent advances. Zbl 1305.53008
Kosinka, Jiří; Lávička, Miroslav
2014
Null polarities as generators of the projective group. Zbl 1317.51023
Klawitter, Daniel
2014
Equicevian points and cubics of a triangle. Zbl 1319.51021
Abu-Saymeh, Sadi; Hajja, Mowaffaq; Stachel, Hellmuth
2014
Characterizations of ruled surfaces in $$\mathbb{R}^{3}$$ and of hyperquadrics in $$\mathbb{R}^{n+1}$$ via relative geometric invariants. Zbl 1317.53009
Stamatakis, Stylianos; Kaffas, Ioannis; Papadopoulou, Ioanna-Iris
2014
Perspective concepts – exploring seeing and representation of space. Zbl 1317.51021
Leopold, Cornelie
2014
On polygons with coordinates of vertices from Fibonacci and Lucas sequences. Zbl 1326.51014
Davala, Ravi Kumar; Panda, Gopal Krishna
2014
Surprising relations between the areas of triangles in the configuration of Routh’s theorem. Zbl 1317.51015
Oxman, Victor; Stupel, Moshe; Sigler, Avi
2014
On a 3D extension of the Simson-Wallace theorem. Zbl 1317.51026
Pech, Pavel
2014
On equiform Stewart Gough platforms with self-motions. Zbl 1291.53008
Nawratil, Georg
2013
Curve flows on ruled surfaces. Zbl 1297.53045
Hagemann, Markus; Klawitter, Daniel; Odehnal, Boris
2013
Ruled surfaces asymptotically normalized. Zbl 1296.53020
Stamatakis, Stylianos; Kaffas, Ioannis
2013
Force driven ruled surfaces. Zbl 1288.53008
Hagemann, Markus; Klawitter, Daniel; Lordick, Daniel
2013
Generalization of a geometry problem posed by Fermat. Zbl 1278.51009
Čerin, Zvonko
2013
Column-shaped origami design based on mirror reflections. Zbl 1261.68135
Mitani, Jun
2012
Necessary conditions for type-II DM self-motions of planar Stewart-Gough platforms. Zbl 1267.53010
Nawratil, Georg
2012
Gauss-Newton lines and eleven point conics. Zbl 1280.51008
Alperin, Roger C.
2012
General rules of fractals construction from polyhedra. Zbl 1268.28018
Katunin, Andrzej; Kurzyk, Dariusz
2012
A flexible planar tessellation with a flexion tiling a cylinder of revolution. Zbl 1266.51033
Stachel, Hellmuth
2012
Design of infinitesimally and finitely flexible origami based on reciprocal figures. Zbl 1266.52019
Tachi, Tomohiro
2012
On Kiepert conics in the hyperbolic plane. Zbl 1261.51013
Mick, Sybille; Lang, Johann
2012
Poristic loci of triangle centers. Zbl 1266.51024
Odehnal, Boris
2011
Closed space curves made from circles on polyhedra. Zbl 1266.51031
Kimberling, Clark; Moses, Peter J. C.
2011
Axiomatizing perpendicularity and parallelism. Zbl 1250.97008
Haukkanen, Pentti; Merikoski, Jorma K.; Tossavainen, Timo
2011
A method for designing crease patterns for flat-foldable origami with numerical optimization. Zbl 1258.65062
Mitani, Jun
2011
Algorithm for the parameterization of rational curves revisited. Zbl 1272.14024
Bizzarri, Michal; Lávicka, Miroslav
2011
The reconstruction problem: integrating different approaches into a systematic procedure for pseudo wireframe retrieval. Zbl 1261.68143
Furferi, Rocco; Governi, Lapo; Palai, Matteo; Volpe, Yary
2011
Some theorems on kissing circles and spheres. Zbl 1255.51010
Morita, Ken
2011
Light ray trajectories and projective correspondences. Zbl 1252.51015
Manevich, Michael; Itskovich, Elizabeth
2011
Freeform variations of origami. Zbl 1219.51019
Tachi, Tomohiro
2010
More on the Steiner-Lehmus theorem. Zbl 1223.51018
2010
Equioptic curves of conic sections. Zbl 1202.51022
Odehnal, Boris
2010
Flexible octahedra in the projective extension of the Euclidean 3-space. Zbl 1235.52032
Nawratil, Georg
2010
Triply orthogonal line congruences with common middle surface. Zbl 1204.53010
2010
Surfaces of revolution satisfying $$\Delta ^{III}{\mathbf x} = A{\mathbf x}$$. Zbl 1218.53007
Stamatakis, Stylianos; Al-Zoubi, Hassan
2010
Dilation-induced perspectivities among triangles. Zbl 1202.51016
Kimberling, Clark; Moses, Peter J. C.
2010
Two approaches to geometrography. Zbl 1200.51012
Merikoski, Jorma K.; Tossavainen, Timo
2010
Rose surfaces and their visualizations. Zbl 1198.14057
Gorjanc, Sonja
2010
Reflected surfaces and their directing cones. Zbl 1200.51014
Dvoretsky, Alexander
2010
On the representation of Dupin cyclides in Lie sphere geometry with applications. Zbl 1187.68643
Lávička, M.; Vršek, J.
2009
Towards van der Laan’s plastic number in the plane. Zbl 1192.51014
de Spinadel, V. W.; Buitrago, Redondo A.
2009
Notes on infinitesimal bending of a toroid formed by revolution of a polygonal meridian. Zbl 1191.53004
Velimirović, L. S.; Rančić, S. R.
2009
Reflection-induced perspectivities among triangles. Zbl 1183.51014
Moses, Peter; Kimberling, Clark
2009
A stronger form of the Steiner-Lehmus theorem. Zbl 1189.51015
Nicula, Virgil; Pohoaţă, Cosmin
2009
Generalized arbelos in aliquot parts: non-intersecting case. Zbl 1201.51016
Okumura, Hiroshi; Watanabe, Masayuki
2009
On the degenerated cases of architecturally singular planar parallel manipulators. Zbl 1171.70302
Nawratil, Georg
2008
Subdivision algorithms for ruled surfaces. Zbl 1159.65309
Odehnal, Boris
2008
Conic solution of Euler’s triangle determination problem. Zbl 1161.51007
Yiu, Paul
2008
An angle criterion for conical mesh vertices. Zbl 1140.51306
Wang, Wenping; Wallner, Johannes; Liu, Yang
2007
Inflection and torsion line congruences. Zbl 1167.53014
2007
A unified proof of Ceva and Menelaus’ theorems using projective geometry. Zbl 1221.51027
Benítez, J.
2007
Uniform maps on the Klein bottle. Zbl 1116.51012
Wilson, Steve
2006
Counting Escher’s $$m\times m$$ ribbon patterns. Zbl 1110.52018
Fowler, J. Joseph; Gethner, Ellen
2006
Ortho-circles of Dupin cyclides. Zbl 1107.53003
Schrott, Michael; Odehnal, Boris
2006
A note on similar-perspective triangles. Zbl 1119.51006
Hajja, Mowaffaq; Martini, Horst
2006
A cylinder of revolution on five points. Zbl 1114.51017
Zsombor-Murray, Paul; El Fashny, Sawsan
2006
Kinematic analysis of a pentapod robot. Zbl 1126.53007
Bär, Gert F.; Weiß, Gunter
2006
Equifaciality of tetrahedra whose incenter and Fermat-Torricelli center coincide. Zbl 1098.51014
Hajja, Mowaffaq; Walker, Peter
2005
The Monge point and the $$3(n+1)$$ point sphere of an $$n$$-simplex. Zbl 1098.51013
Buba-Brzozowa, Małgorzata
2005
Blending curves. Zbl 1110.68157
Wiltsche, Albert
2005
On the Simson-Wallace theorem and its generalizations. Zbl 1101.51009
Pech, Pavel
2005
Comparison of implicitization methods. Zbl 1101.68988
Bastl, Bohumír; Ježek, František
2005
Symmetric alteration of two knots of B-spline curves. Zbl 1110.68154
Hoffmann, Miklós; Juhász, Imre
2005
The inspherical Gergonne center of a tetrahedron. Zbl 1075.51504
Hajja, Mowaffaq; Walker, Peter
2004
...and 38 more Documents
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#### Cited by 365 Authors

 14 Farouki, Rida T. 12 Lávička, Miroslav 10 Nawratil, Georg 9 Hajja, Mowaffaq 6 Gaifullin, Alexander A. 6 Schicho, Josef 6 Šír, Zbyněk 5 Bastl, Bohumír 5 Garcia, Ronaldo A. 5 Martini, Horst 5 Reznik, Dan S. 5 Vršek, Jan 4 Abdel-Baky, Rashad A. 4 Alexandrov, Victor A. 4 Bizzarri, Michal 4 Gallet, Matteo 4 Odehnal, Boris 4 Pellicer, Daniel 4 Röschel, Otto 4 Stamatakis, Stylianos S. 4 Vincenzi, Giovanni 3 Al-Zoubi, Hassan 3 Anatriello, Giuseppina 3 Giannelli, Carlotta 3 Han, Chang Yong 3 Hayajneh, Mostafa 3 Hoffmann, Miklós 3 Jüttler, Bert 3 Kanamori, Yoshihiro 3 Kim, Gwang Il 3 Koiller, Jair 3 Kong, Jae-Hoon 3 Laudano, Francesco 3 Mitani, Jun 3 Pech, Pavel 3 Potočnik, Primož 3 Romakina, Lyudmila Nikolaevna 3 Sakkalis, Takis 3 Sampoli, Maria Lucia 3 Sestini, Alessandra 3 Wallner, Johannes 3 Wang, Guozhao 3 Zhao, Yan 2 Ait-Haddou, Rachid 2 Anghel, Nicolae 2 Bringmann, Oliver 2 Čerin, Zvonko Tomislav 2 Chaidee, Supanut 2 Cunningham, Gabe 2 Du, Shaofei 2 Gethner, Ellen 2 Ginoux, Jean-Marc 2 Golvin, Jean-Claude 2 Grasegger, Georg 2 Guest, Simon D. 2 Hammoudeh, Ismail 2 Haukkanen, Pentti 2 He, Zeyuan 2 Hubard, Isabel 2 Juhász, Imre 2 Kimberling, Clark H. 2 Klawitter, Daniel 2 Krajnc, Marjeta 2 Lee, Hyun Chol 2 Legerský, Jan 2 Leopold, Cornelie 2 Li, Yajuan 2 Mattila, Mika 2 Merikoski, Jorma Kaarlo 2 Mixer, Mark 2 Moses, Peter J. C. 2 Nicollier, Grégoire 2 Orbanić, Alen 2 Ouarab, Soukaina 2 Oxman, Victor 2 Pambuccian, Victor V. 2 Peternell, Martin 2 Pottmann, Helmut 2 Pyo Moon, Hwan 2 Romani, Lucia 2 Schröcker, Hans-Peter 2 Schulze, Bernd 2 Seaton, Katherine A. 2 Selig, J. M. 2 Sigler, Avi 2 Spirova, Margarita Georgieva 2 Stachel, Hellmuth 2 Stupel, Moshe 2 Sugihara, Kokichi 2 Ternullo, Maurizio 2 Tonn, Christian 2 Tossavainen, Timo 2 Vitrih, Vito 2 Whiteley, Walter John 2 Wildberger, Norman John 2 Zachos, Anastasios N. 1 Abban, Hamid 1 Abbott, John A. 1 Abdel-All, Nassar Hassan 1 Abu-Saymeh, Sadi ...and 265 more Authors
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#### Cited in 96 Journals

 31 Computer Aided Geometric Design 21 Journal for Geometry and Graphics 18 Journal of Geometry 10 Beiträge zur Algebra und Geometrie 8 Journal of Computational and Applied Mathematics 8 Journal of Symbolic Computation 6 Discrete & Computational Geometry 6 Mechanism and Machine Theory 6 Nexus Network Journal 5 American Mathematical Monthly 5 Advances in Computational Mathematics 4 Discrete Mathematics 4 Geometriae Dedicata 4 European Journal of Combinatorics 4 Journal of Mathematics and the Arts 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 The Mathematical Intelligencer 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Advances in Applied Clifford Algebras 3 Abstract and Applied Analysis 3 Mathematics in Computer Science 3 International Electronic Journal of Geometry 3 Arnold Mathematical Journal 2 Mathematics of Computation 2 Elemente der Mathematik 2 Linear Algebra and its Applications 2 Mathematical Problems in Engineering 2 Communications of the Korean Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Zhejiang University. Science A 2 Proceedings of the Steklov Institute of Mathematics 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Mathematische Semesterberichte 1 Moscow University Mechanics Bulletin 1 Periodica Mathematica Hungarica 1 Reports on Mathematical Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of the Korean Mathematical Society 1 Journal of Number Theory 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Meccanica 1 Monatshefte für Mathematik 1 Notre Dame Journal of Formal Logic 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Graphs and Combinatorics 1 Constructive Approximation 1 Information and Computation 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Numerical Algorithms 1 Computational Statistics 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Algebraic Combinatorics 1 Computational and Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Fractals 1 The Electronic Journal of Combinatorics 1 Reliable Computing 1 Journal of Mathematical Chemistry 1 Mathematical Communications 1 Theory of Computing Systems 1 Journal of Graph Algorithms and Applications 1 Journal of High Energy Physics 1 Forum Geometricorum 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 Contributions to Discrete Mathematics 1 Optimization Letters 1 Acta Universitatis Sapientiae. Mathematica 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Symmetry 1 Journal of Theoretical Biology 1 Communications in Mathematics and Statistics 1 SIAM Journal on Applied Algebra and Geometry 1 The Art of Discrete and Applied Mathematics
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#### Cited in 35 Fields

 96 Geometry (51-XX) 72 Numerical analysis (65-XX) 55 Differential geometry (53-XX) 46 Convex and discrete geometry (52-XX) 41 Computer science (68-XX) 28 Mechanics of particles and systems (70-XX) 20 Algebraic geometry (14-XX) 17 Combinatorics (05-XX) 11 Approximations and expansions (41-XX) 10 General and overarching topics; collections (00-XX) 9 Group theory and generalizations (20-XX) 7 Commutative algebra (13-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 History and biography (01-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 4 Mathematics education (97-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Quantum theory (81-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)