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, a complex polyhedron with 120 faces.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Surface to Volume Ratio — The ratio of surface area to volume of the Hexakis Icosahedron (m⁻¹)
• √ — Square root function

Explanation: The formula calculates the longest edge length based on the surface to volume ratio of the polyhedron.

3. Importance of Long Edge Calculation

Details: Calculating the long edge is important for understanding the geometry and proportions of Hexakis Icosahedron in various applications including crystallography, architecture, and mathematical modeling.

4. Using the Calculator

Tips: Enter the surface to volume ratio in m⁻¹. The value must be greater than 0 for valid calculation.

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 dodecahedron, featuring 120 triangular faces.

Q2: What are typical surface to volume ratio values?
A: Surface to volume ratio values vary depending on the size and proportions of the polyhedron, but are typically positive real numbers.

Q3: What units should I use?
A: Use consistent units - typically meters for length and m⁻¹ for surface to volume ratio.

Q4: Are there limitations to this calculation?
A: The calculation assumes a perfect Hexakis Icosahedron shape and may not account for manufacturing tolerances or imperfections.

Q5: Can this be used for other polyhedra?
A: No, this specific formula is only valid for the Hexakis Icosahedron.