Abstract: What is presented is a unit cell comprising a cellular geometry that comprises cell walls and cell edges arranged into a combination of a cubic cell geometry and a tetrahedral cell geometry arranged to have a coincident central vertex. The cubic cell geometry comprises three orthogonal cell faces that intersect at its central vertex. The tetrahedral cell geometry comprises an arrangement of eight tetrahedral cells that share its central vertex such that each tetrahedral cell shares three coincident edges with three other tetrahedral cells in a cubically symmetric arrangement. The tetrahedral cell geometry is combined with the cubic cell geometry such that all vertices of the tetrahedral cell geometry are coincident with the vertices of the cubic cell geometry.

Abstract: What is presented is a unit cell comprising a cellular geometry that comprises cell walls and cell edges arranged into a combination of a cubic cell geometry and a tetrahedral cell geometry arranged to have a coincident central vertex. The cubic cell geometry comprises three orthogonal cell faces that intersect at its central vertex. The tetrahedral cell geometry comprises an arrangement of eight tetrahedral cells that share its central vertex such that each tetrahedral cell shares three coincident edges with three other tetrahedral cells in a cubically symmetric arrangement. The tetrahedral cell geometry is combined with the cubic cell geometry such that all vertices of the tetrahedral cell geometry are coincident with the vertices of the cubic cell geometry.

Abstract: What is presented is a unit cell that has a cellular geometry that comprises cell walls and cell edges arranged into a combination of a cubic cell geometry and a tetrahedral cell geometry and assembled structures that comprise a plurality of unit cells. The voids of the unit cell created by the combination of geometries comprise regular tetrahedrons, irregular tetrahedrons, and octahedrons. In some embodiments, the thickness of selected cell walls can vary and in some embodiments have zero thickness. In some embodiments selected cell walls and selected cell edges have a varied thickness. In other embodiments selected cell walls are non-planar. In some embodiments selected cell walls may have one or more holes. Selected cell edges of some embodiments of unit cell may have varying cross-sectional geometry that vary along a length of the cell edge. Some embodiments of the unit cell may comprise fillets to blunt stress concentrations.

Abstract: What is presented is a unit cell that has a cellular geometry that comprises cell walls and cell edges arranged into a combination of a cubic cell geometry and a tetrahedral cell geometry and assembled structures that comprise a plurality of unit cells. The voids of the unit cell created by the combination of geometries comprise regular tetrahedrons, irregular tetrahedrons, and octahedrons. In some embodiments, the thickness of selected cell walls can vary and in some embodiments have zero thickness. In some embodiments selected cell walls and selected cell edges have a varied thickness. In other embodiments selected cell walls are non-planar. In some embodiments selected cell walls may have one or more holes. Selected cell edges of some embodiments of unit cell may have varying cross-sectional geometry that vary along a length of the cell edge. Some embodiments of the unit cell may comprise fillets to blunt stress concentrations.