Tétraèdre dont les six arêtes sont tangentes à une même sphère
The isogonal sponges on the cubic lattice.
The additivity of the volume and Sperner's lemma
The algebra of polytopes in affine spaces.
The classification of compact hyperbolic Coxeter d-polytopes with d + 2 facets.
The Classification of Quasi-Regular Polyhedra of Genus 2.
The combinatorially regular polyhedra of index 2.
The edge-minimal polyhedral maps of Euler characteristic .
The Möbius-Pompeiu metric property.
The optimal ball and horoball packings to the Coxeter honeycombs in the hyperbolic -space.
The Planarity of the Equilateral, Isogonal Pentagon.
The Recent Generalizations of Colored Symmetry
The Regge symmetry is a scissors congruence in hyperbolic space.
The role of Sommerville tetrahedra in numerical mathematics
In this paper we summarize three recent results in computational geometry, that were motivated by applications in mathematical modelling of fluids. The cornerstone of all three results is the genuine construction developed by D. Sommerville already in 1923. We show Sommerville tetrahedra can be effectively used as an underlying mesh with additional properties and also can help us prove a result on boundary-fitted meshes. Finally we demonstrate the universality of the Sommerville's construction by...
To construct a regular polygon of 17 sides. (Mit 1 Figur im Text)
Transformationen von Polyedern in Polyederketten.
Triangulating Point Sets in Space.
Trigonometric diophantine equations (On vanishing sums of roots of unity)
Tropical intersection products on smooth varieties
We define an intersection product of tropical cycles on tropical linear spaces , i.e. on tropical fans of the type max. Afterwards we use this result to obtain an intersection product of cycles on every smooth tropical variety, i.e. on every tropical variety that arises from gluing such tropical linear spaces. In contrast to classical algebraic geometry these products always yield well-defined cycles, not cycle classes only. Using these intersection products we are able to define the pull-back...
Typisierung und Angabe eines Baukastens für Tetraeder in Räumen konstanter Krümmung