AbstractWe construct a polyhedral 2-manifold of genus 2 embedded in Euclidean 3-space, and hence oriented, built up of 12 planar (but nonconvex) heptagons, three meeting at each vertex, i.e., locally regular or equivelar. The polyhedron is face-minimal among all equivelar polyhedra of genus g≥2.It has a threefold symmetry axis and exists in two chiral versions
We improve and extend to the non-orientable case a recent result of Kar\ue1ba\u161, Mali\u10dk\ufd a...
AbstractWe give a classification of all equivelar polyhedral maps on the torus. In particular, we cl...
Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular ...
AbstractWe construct a polyhedral 2-manifold of genus 2 embedded in Euclidean 3-space, and hence ori...
AbstractWe give polyhedral realizations in E3 of two regular maps with automorphism group of order 1...
In the last proposition of the Elements Euclid proved that there are only five regular polyhedra, na...
The icosahedron and the dodecahedron have the same graph structures as their algebraic conjugates, t...
AbstractA lower bound is given for the number of hexagonal faces in a simple map on a closed surface...
Combinatorially regular polyhedra are polyhedral realizations (embeddings) in Euclidean 3-space E3 o...
An isohedron is a 3-dimensional polyhedron all faces of which are equivalent under symmetries of the...
The main topic of my research is my discovery of a new series of uniform polyhedra, which I have nam...
We completely recognize the topological structure of the ten compact euclidean space forms with spec...
Extending previous results on a characterization of all equilateral triangle in space having vertice...
AbstractThe topology of the space of rooted oriented hexagonal knots embedded in R3 is described, wi...
AbstractWe provide a complete list of 59 orientable neighborly 2-manifolds with 12 vertices of genus...
We improve and extend to the non-orientable case a recent result of Kar\ue1ba\u161, Mali\u10dk\ufd a...
AbstractWe give a classification of all equivelar polyhedral maps on the torus. In particular, we cl...
Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular ...
AbstractWe construct a polyhedral 2-manifold of genus 2 embedded in Euclidean 3-space, and hence ori...
AbstractWe give polyhedral realizations in E3 of two regular maps with automorphism group of order 1...
In the last proposition of the Elements Euclid proved that there are only five regular polyhedra, na...
The icosahedron and the dodecahedron have the same graph structures as their algebraic conjugates, t...
AbstractA lower bound is given for the number of hexagonal faces in a simple map on a closed surface...
Combinatorially regular polyhedra are polyhedral realizations (embeddings) in Euclidean 3-space E3 o...
An isohedron is a 3-dimensional polyhedron all faces of which are equivalent under symmetries of the...
The main topic of my research is my discovery of a new series of uniform polyhedra, which I have nam...
We completely recognize the topological structure of the ten compact euclidean space forms with spec...
Extending previous results on a characterization of all equilateral triangle in space having vertice...
AbstractThe topology of the space of rooted oriented hexagonal knots embedded in R3 is described, wi...
AbstractWe provide a complete list of 59 orientable neighborly 2-manifolds with 12 vertices of genus...
We improve and extend to the non-orientable case a recent result of Kar\ue1ba\u161, Mali\u10dk\ufd a...
AbstractWe give a classification of all equivelar polyhedral maps on the torus. In particular, we cl...
Retaining the combinatorial Euclidean structure of a regular icosahedron, namely the 20 equiangular ...
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