AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space completely. Only five space-filling tetrahedra have been described in the literature. The constructions of these are shown. Three new infinite one-parameter families of space-filling tetrahedra are derived. Special cases of these families yield three of the five space-filling tetrahedra already in the literature
In this paper we prove the existence of two new families of spatial stacked central configurations,...
In this paper we show the existence of three new families of stacked spatial central configurations ...
AbstractIn this paper it is shown that 3-space cannot be filled with cubes such that neighbouring cu...
AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space compl...
AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space compl...
AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space compl...
The goal of this paper is to illustrate how octahedra and tetrahedra pack together to fill space, an...
This activity is an investigation of a special nonregular tetrahedron that can be arranged to fill s...
Un polyèdre remplissant I’espace est celui dont les copies identiques peuvent être entassées pour re...
Partitioning space into polyhedra with a minimum total surface area is a fundamental question in sci...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
Partitioning space into polyhedra with a minimum total surface area is a fundamental question in sci...
The problem of tiling or tessellating (i.e., completely filling) three-dimensional Euclidean space R...
Tiling space and slabs with acute tetrahedra, with David Eppstein and Alper Üngör. We show it is pos...
Showing whether the longest-edge (LE) bisection of tetrahedra meshes degenerates the stability condi...
In this paper we prove the existence of two new families of spatial stacked central configurations,...
In this paper we show the existence of three new families of stacked spatial central configurations ...
AbstractIn this paper it is shown that 3-space cannot be filled with cubes such that neighbouring cu...
AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space compl...
AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space compl...
AbstractA space-filling polyhedron is one whose replications can be packed to fill three-space compl...
The goal of this paper is to illustrate how octahedra and tetrahedra pack together to fill space, an...
This activity is an investigation of a special nonregular tetrahedron that can be arranged to fill s...
Un polyèdre remplissant I’espace est celui dont les copies identiques peuvent être entassées pour re...
Partitioning space into polyhedra with a minimum total surface area is a fundamental question in sci...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
Partitioning space into polyhedra with a minimum total surface area is a fundamental question in sci...
The problem of tiling or tessellating (i.e., completely filling) three-dimensional Euclidean space R...
Tiling space and slabs with acute tetrahedra, with David Eppstein and Alper Üngör. We show it is pos...
Showing whether the longest-edge (LE) bisection of tetrahedra meshes degenerates the stability condi...
In this paper we prove the existence of two new families of spatial stacked central configurations,...
In this paper we show the existence of three new families of stacked spatial central configurations ...
AbstractIn this paper it is shown that 3-space cannot be filled with cubes such that neighbouring cu...
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