Anticube calculator
Calculator and formulas for calculating properties of an anticube
This function calculates the volume, surface area and height of an anticube. An anticube is a cube with one side twisted 45 degrees.
To calculate, select a property and enter its value. Then click on 'Calculate'.
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Anticube formulas
Surface (\(\small{S}\))
\(\displaystyle S = 2 \cdot (1+\sqrt{3}) \cdot a^2 \;\;\;≈ 5.4641 \cdot a^2\)
Volume (\(\small{V}\))
\(\displaystyle V =\frac{1}{3} \cdot \sqrt{(1 + \sqrt{2})} \cdot \sqrt{(2+\sqrt{2})} \cdot a^3 \;\;\;≈ 0.957 \cdot a^3\)
Height (\(\small{h}\))
\(\displaystyle h = \sqrt{1 - \frac{1}{2+\sqrt{2}}} \cdot a \;\;\;≈0.8409\cdot a\)
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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