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Reuleaux Tetrahedron Calculator

Calculations at a Reuleaux tetrahedron. This is the intersection of four spheres of the same size, whose centers are at the vertices of a regular tetrahedron with a side length equal to the radius of the spheres. The form ist that of an inflated tetrahedron with straight edges and round, convex faces. The Reuleaux tetrahedron is the three-dimensional equivalent to the two-dimensional Reuleaux triangle.
Enter one value and choose the number of decimal places. Then click Calculate.


Franz Reuleaux Radius, side length (a): Reuleaux tetrahedron
Surface area (A):
Volume (V):
Surface-to-volume ratio (A/V):
Round to    decimal places.



Formulas:
A = [ 8π - 18 * acos(1/3) ] * a²
V = [ 8π / 3 - 27/4 * acos(1/3) + √2 / 4 ] * a³

pi:
π = 3.141592653589793...

Length and radius 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) - Reuleaux Tetrahedron.
Retrieved on 2026-06-07 from https://rechneronline.de/pi/reuleaux-tetrahedron.php




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