Gyroelongated Square Dipyramid Calculation
Calculators and formulas for a gyroelongated square dipyramid (Johnson solid J17)
The sides of the gyroelongated square dipyramid are bounded by 16 equilateral triangles. All edges have the same length. This dipyramid is one of the Johnson solids (J17).
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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Gyroelongated Square Dipyramid Formulas
Volume (\(\small{V}\))
\(\displaystyle V= \frac{(\sqrt{2} + \sqrt{ 4 + 3 · \sqrt{2}})}{3} ·a^3\) \(\displaystyle \;\;\;\;≈ 1.4284 ·a^3\)
Surface area (\(\small{S}\))
\(\displaystyle S= 4 · \sqrt{3} · a^2\;\;\;\;≈ 6.9282 ·a^2\)
Height (\(\small{h}\))
\(\displaystyle h=\left( \sqrt{1 - \frac{1}{(2+\sqrt{2})}} + \frac{2}{\sqrt{2}} \right) · a \) \(\displaystyle \;\;\;\;≈2.255 ·a \)
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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