1. What is Edge Length of Icosidodecahedron?

The Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron, which is an Archimedean solid with 20 triangular faces and 12 pentagonal faces.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Pentagonal Face Height — The shortest distance between an edge and the vertically opposite corner of any pentagonal face (m)

Explanation: This formula calculates the edge length of an icosidodecahedron based on the height of its pentagonal faces, using the mathematical relationship between these geometric properties.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometry of icosidodecahedrons, determining surface area, volume, and other geometric properties of this Archimedean solid.

4. Using the Calculator

Tips: Enter the pentagonal face height in meters. The value must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is an Icosidodecahedron?
A: An icosidodecahedron is an Archimedean solid with 32 faces (20 triangles and 12 pentagons), 60 edges, and 30 vertices.

Q2: Why is this formula specific to pentagonal face height?
A: The formula establishes a mathematical relationship between the pentagonal face height and the edge length, allowing calculation of one from the other.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurement to meters before calculation.

Q4: What are the applications of this calculation?
A: This calculation is useful in geometry, architecture, 3D modeling, and mathematical research involving polyhedra.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the given formula, with accuracy depending on the precision of the input value.