Gyrobifastigium Calculation
Calculators and formulas for a gyrobifastigium (Johnson solid J26)
The sides of the gyrobifastigium are bounded by four squares and four equilateral triangles. All edges have the same length. The pentagonal cupola is one of the Johnson solids (J26).
To perform the calculation select the property you know from the menu and enter its value. Then click on the 'Calculate' button.
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Gyrobifastigium Formulas
Volum (\(\small{V}\))
\(\displaystyle V=\frac{\sqrt{3}}{2} ·a^3 \;\;\;\;≈ 0.866 ·a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S=(4 + \sqrt{3}) · a^2\;\;\;\;≈ 5.732 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h=\sqrt{3} · a\;\;\;\;≈1.732 ·a \)
Square Pyramid • Pentagonal Pyramid • Triangular Cupola • Square Cupola • Pentagonal Cupola • Rotunda • Elongated Triangular Pyramid • Elongated Square Pyramid • Elongated Pentagonal Pyramid • Triangular Bipyramid • Pentagonal Bipyramid • Elongated Square Bipyramid • Gyrobifastigium • Gyroelongated Square Dipyramid • Snub Disphenoid
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