Gallery of rhombic polyhedra
Ganzzahlige planare Darstellungen der platonischen Körper.
Gaps in the Numbers of Vertices of Cubical Polytopes, I.
Generalized Dehn-Sommerville equations and an upper bound theorem
Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially orderd sets.
Generating Closed 2-Cell Embeddings in the Torus and the Projective Plane.
Geometric algorithms and combinatorial optimization [Book]
Geometric algorithms and combinatorial optimization [Book]
Geometric and combinatorial structure of a class of spherical folding tessellations – I
A classification of dihedral folding tessellations of the sphere whose prototiles are a kite and an equilateral or isosceles triangle was obtained in recent four papers by Avelino and Santos (2012, 2013, 2014 and 2015). In this paper we extend this classification, presenting all dihedral folding tessellations of the sphere by kites and scalene triangles in which the shorter side of the kite is equal to the longest side of the triangle. Within two possible cases of adjacency, only one will be addressed....
Geometric inequalities for a simplex.
Geometric Realizations for Dyck's Regular Map on a Surface of Genus 3.
Geométrie des suites de Kronecker.
Gewisse einfache Polytope sind durch ihren Graph eindeutig bestimmt.
Gleichungen vom Dehn-Sommervilleschen Typ für nicht beschränkte konvexe Polytope und für Raumzerlegungen durch Hyperebenen.
Gleitkörper in konvexen Polytopen.
Goffin's algorithm for zonotopes
The Löwner-John ellipse of a full-dimensional bounded convex set is a circumscribed ellipse with the property that if we shrink it by the factor (where is dimension), we obtain an inscribed ellipse. Goffin’s algorithm constructs, in polynomial time, a tight approximation of the Löwner-John ellipse of a polyhedron given by facet description. In this text we adapt the algorithm for zonotopes given by generator descriptions. We show that the adapted version works in time polynomial in the size...
Goldberg-Coxeter construction for 3- and 4-valent plane graphs.
Gorenstein polytopes obtained from bipartite graphs.
Gosset polytopes in integral octonions
We study the integral quaternions and the integral octonions along the combinatorics of the -cell, a uniform polytope with the symmetry , and the Gosset polytope with the symmetry . We identify the set of the unit integral octonions or quaternions as a Gosset polytope or a -cell and describe the subsets of integral numbers having small length as certain combinations of unit integral numbers according to the or actions on the or the -cell, respectively. Moreover, we show that each...
Gröbner bases of lattices, corner polyhedra, and integer programming.