1. What is the Long Edge of Hexakis Icosahedron?

The Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron. It is an important geometric property used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Truncated\ Edge \) — Length of the truncated edge of Hexakis Icosahedron (m)
• \( \sqrt{} \) — Square root function

Explanation: This formula calculates the long edge length based on the truncated edge measurement, incorporating mathematical constants and square root operations.

3. Importance of Long Edge Calculation

Details: Accurate calculation of the long edge is crucial for geometric modeling, architectural design, and various engineering applications involving polyhedral structures.

4. Using the Calculator

Tips: Enter the truncated edge length in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a Hexakis Icosahedron?
A: A Hexakis Icosahedron is a Catalan solid that is the dual of the truncated icosahedron, featuring 120 faces, 180 edges, and 62 vertices.

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

Q3: What units should be used for input?
A: The calculator uses meters as the default unit, but the result can be converted to other units as needed.

Q4: Are there limitations to this formula?
A: The formula is mathematically precise for ideal geometric shapes. Real-world applications may require adjustments for material properties and manufacturing tolerances.

Q5: Can this calculator be used for other polyhedra?
A: No, this specific calculator is designed only for calculating the long edge of a Hexakis Icosahedron given its truncated edge measurement.