In geometry, a tetrakis hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube[2]) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid.

In general, a tetrakis hexahedron is a non-regular icositetrahedron that can be constructed as a positive augmentation of a cube. Such a solid is also known as a tetrahexahedron, especially to mineralogists (Correns 1949, p. 41; Berry and Mason 1959, p. 127).

The tetrakis hexahedron, also called the tetrakis cube, is one of the 13 Catalan solids. It has 24 isosceles triangles as faces, with 6 order-4 and 8 order-6 vertices. It is the dual of the uniform truncated octahedron.

May 23, 2025 · tetrakis hexahedron (plural tetrakis hexahedra or tetrakis hexahedrons) A Catalan solid that has 24 congruent triangular faces and 36 edges and can be imagined as a cube with a square pyramid on each face.

Calculators and formulas for tetrakis hexahedron (or tetrahexahedron) This function calculates various parameters of a tetrakis hexahedron (also known as a tetrahexahedron). Entering of one value is sufficient for the calculation; all other values are calculated from this.

Calculations at a tetrakis hexahedron, the dual body of the truncated octahedron. A tetrakis hexahedron or kiscube is a cube with matching square pyramids attached to its faces. It has six vertices with four edges and eight vertices with six edges.

Mar 1, 2023 · The tetrakis hexahedron is a 3D Catalan solid bounded by 24 isosceles triangles, 36 edges (24 short, 12 long), and 14 vertices. It is the dual of the truncated octahedron. The triangular faces are transitive, with two short edges and a long edge with a 3 : 4 length ratio.

The tetrakis hexahedron one of the thirteen archimedean duals.

A 24-cell viewed under a vertex-first perspective projection has a surface topology of a tetrakis hexahedron and the geometric proportions of the rhombic dodecahedron, with the rhombic faces divided into two triangles.

Feb 6, 2024 · In geometry, a tetrakis hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube[2]) is a Catalan solid. Its dual is the truncated octahedron, an Archimedean solid.