Stellated Octahedron Calculator
Online calculator and formulas for calculating a Stellated Octahedron
This function calculates the volume and surface area of a Stellated Octahedron.
To calculate, enter the length of an edge. Then click on the 'Calculate' button.
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Stellated Octahedron formulas
Edge length (\(\small{b}\))
\(\displaystyle b= \frac{a}{2} \)
Volume (\(\small{V}\))
\(\displaystyle V= \frac{a^3 \cdot \sqrt{2}}{8} \ \ \ = b^3\cdot \sqrt{2}\)
Surface (\(\small{S}\))
\(\displaystyle S= \frac{3}{2} \cdot a^2 \cdot \sqrt{3} \ \ \ =6\cdot b^2\cdot\sqrt{3} \)
Circumference radius (\(\small{r_u}\))
\(\displaystyle r_u=\frac{a\cdot\sqrt{6}}{4} \ \ \ =\frac{b\cdot\sqrt{6}}{2}\)
Edge circle radius (\(\small{r_k}\))
\(\displaystyle r_k=\frac{a\cdot\sqrt{2}}{4} \ \ \ =\frac{b\cdot\sqrt{2}}{2}\)
Inner circle radius (\(\small{r_i}\))
\(\displaystyle r_k=\frac{a}{2\cdot\sqrt{6}} \ \ \ =\frac{b}{\sqrt{6}}\)
Cuboid
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Square Pillar
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Antiprism
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Hexagonal prism
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Triangular prism
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Regular prism
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Oblique prism
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Ramp
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Anticube
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Wedge
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Right Wedge
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Rhombohedron
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Parallelepiped
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Tetrahedron, irregular
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Tetragonal Trapezohedron
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Pentagonal Trapezohedron
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Prismatoid
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Stellated Octahedron
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Stellated Dodecahedron
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Great Stellated Dodecahedron
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Great Dodecahedron
Tetrahedron • Cube • Octahedron • Dodecahedron • Icosahedron
Tetrahedron • Cube • Octahedron • Dodecahedron • Icosahedron
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