1. What is Long Edge of Hexakis Octahedron?

The Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron. It is an important geometric measurement in this complex polyhedron structure.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• Total Surface Area — The total surface area of the Hexakis Octahedron (m²)
• √ — Square root function

Explanation: This formula derives the long edge length from the total surface area using geometric relationships specific to the Hexakis Octahedron structure.

3. Importance of Long Edge Calculation

Details: Calculating the long edge is crucial for understanding the geometric properties of Hexakis Octahedron, architectural design applications, and mathematical modeling of complex polyhedra.

4. Using the Calculator

Tips: Enter the total surface area in square meters. The value must be positive and valid. The calculator will compute the corresponding long edge length.

5. Frequently Asked Questions (FAQ)

Q1: What is a Hexakis Octahedron?
A: A Hexakis Octahedron is a Catalan solid that is the dual of the truncated cuboctahedron, featuring 48 congruent triangular faces.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric relationships of the Hexakis Octahedron.

Q3: What units should I use?
A: Use consistent units (typically meters for length and square meters for area) throughout the calculation.

Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to the Hexakis Octahedron due to its unique geometric properties.

Q5: What if I have the short edge instead?
A: Different formulas exist for calculating properties based on different known parameters of the Hexakis Octahedron.