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Tetrakis Hexahedron Calculator

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.
Enter one value and choose the number of decimal places. Then click Calculate.


Eugène Charles Catalan, by Emile Delperée Edge length cube (a): Tetrakis Hexahedron
24 faces, 36 edges, 14 vertices
Faces: isosceles triangles
Edge length pyramid (b):
Height (h):
Surface area (A):
Volume (V):
Midsphere radius (rm):
Insphere radius (ri):
Surface-to-volume ratio (A/V):
Round to    decimal places.



Formulas:
b = 3/4 * a
h = 3/2 * a
A = 3 * a² * √5
V = 3/2 * a³
rm = a/2 * √2
ri = 3/10 * a * √5
A/V = 2 * √5 / a

The tetrakis hexahedron is a Catalan solid. The height h is here the distance between two opposite pyramide peaks. Lengths, height and radiuses have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.



Last updated on 10/17/2023.

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Cite this page: Rechneronline (2023) - Tetrakis Hexahedron.
Retrieved on 2026-04-22 from https://rechneronline.de/pi/tetrakis-hexahedron.php




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