Online calculator and formulas for calculating a Small Stellated Dodecahedron
This function calculates various parameters of a stellated dodecahedron.
Select the property you know and enter its value. Then click on 'Calculate'.
Edge length \(\displaystyle s = \frac{a}{2} \cdot (1 + \sqrt{5})\) \(\displaystyle \;\;\; ≈ a \cdot 1,618\) Volume \(\displaystyle V=\frac{5}{4} \cdot a^3 \cdot (7 + 3 \cdot \sqrt{5})\) \(\displaystyle \;\;\; ≈ a^3 \cdot 17.135\) Surface area \(\displaystyle S= 15\cdot a^2 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}\) \(\displaystyle \;\;\; ≈ a^2 \cdot 46.165\) Circumsphere radius \(\displaystyle r=\frac{a}{4} \cdot \sqrt{50 + 22 \cdot \sqrt{5}}\) \(\displaystyle \;\;\; ≈ a \cdot 2.49\) Height \(\displaystyle h = \frac{a}{5} \cdot \sqrt{25 + 10\cdot \sqrt{5}}\) \(\displaystyle \;\;\; ≈ a \cdot 1.3764 \)
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