Blueprint for a classic proof of the 4 colour theorem
Patrick Labarque (2010)
Visual Mathematics
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Displaying similar documents to “On polygons and polyhedra”
Blueprint for a classic proof of the 4 colour theorem
The rectilinear crossing number of is 62.
Brodsky, Alex, Durocher, Stephane, Gethner, Ellen (2001)
The Electronic Journal of Combinatorics [electronic only]
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Constructions of triangular and quadrangular polyhedra of inscribable type
Ernest Jucovič, Sergej Ševec, Marián Trenkler (1997)
Mathematica Slovaca
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On rainbowness of semiregular polyhedra
Stanislav Jendroľ, Štefan Schrötter (2008)
Czechoslovak Mathematical Journal
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We introduce the rainbowness of a polyhedron as the minimum number such that any colouring of vertices of the polyhedron using at least colours involves a face all vertices of which have different colours. We determine the rainbowness of Platonic solids, prisms, antiprisms and ten Archimedean solids. For the remaining three Archimedean solids this parameter is estimated.
The isogonal sponges on the cubic lattice.
Gillispie, Steven B., Grünbaum, Branko (2009)
The Electronic Journal of Combinatorics [electronic only]
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Computing radial drawings on the minimum number of circles.
Di Giacomo, Emilio, Didimo, Walter, Liotta, Giuseppe, Meijer, Henk (2005)
Journal of Graph Algorithms and Applications
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On the perspectives opened by right angle crossing drawings.
Angelini, Patrizio, Cittadini, Luca, Didimo, Walter, Frati, Fabrizio, Di Battista, Giuseppe, Kaufmann, Michael, Symvonis, Antonios (2011)
Journal of Graph Algorithms and Applications
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On the number of planar orientations with prescribed degrees.
Felsner, Stefan, Zickfeld, Florian (2008)
The Electronic Journal of Combinatorics [electronic only]
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