1. What is the Edge Length of Truncated Icosidodecahedron?

The Edge Length of Truncated Icosidodecahedron is the length of any edge of the Truncated Icosidodecahedron, which is an Archimedean solid with 62 faces (30 squares, 20 regular hexagons, and 12 regular decagons).

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge Length of Truncated Icosidodecahedron (m)
• \( SA:V \) — Surface to Volume Ratio of Truncated Icosidodecahedron (1/m)
• \( \sqrt{} \) — Square root function

Explanation: This formula calculates the edge length based on the surface to volume ratio of the truncated icosidodecahedron.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometric properties of the truncated icosidodecahedron, including its surface area, volume, and other dimensional characteristics.

4. Using the Calculator

Tips: Enter the surface to volume ratio in 1/m. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a Truncated Icosidodecahedron?
A: A truncated icosidodecahedron is an Archimedean solid with 62 faces, 120 vertices, and 180 edges, created by truncating both an icosahedron and a dodecahedron.

Q2: What are the applications of this calculation?
A: This calculation is used in geometry, architecture, material science, and 3D modeling where precise dimensional calculations of polyhedra are required.

Q3: What units should be used for the input?
A: The surface to volume ratio should be entered in reciprocal meters (1/m), and the result will be in meters (m).

Q4: Are there any limitations to this formula?
A: This formula assumes a perfect geometric shape and may not account for manufacturing tolerances or material variations in real-world applications.

Q5: Can this calculator be used for other polyhedra?
A: No, this specific formula is designed only for the truncated icosidodecahedron. Other polyhedra have different geometric relationships.