The formula to calculate the Edge Length of Dodecahedron is:
\[ le = \frac{4 \cdot rc}{\sqrt{3} \cdot (1 + \sqrt{5})} \]
Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron. Circumsphere Radius of Dodecahedron is the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere.
Let's assume the following values:
Using the formula:
\[ le = \frac{4 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})} = 9.99101851364652 \]
The Edge Length is 9.99101851364652 Meters.
| Circumsphere Radius (Meters) | Edge Length (Meters) |
|---|---|
| 12 | 8.563730154554159 |
| 13 | 9.277374334100339 |
| 14 | 9.991018513646519 |
| 15 | 10.704662693192699 |
| 16 | 11.418306872738878 |