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Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Calculator

Formula Used:

\[ Long Edge = \frac{2}{7} \times \sqrt{60 + 6\sqrt{2}} \times Truncated Cuboctahedron Edge \]

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1. What is the 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 a geometric measurement used in polyhedral studies and calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Long Edge = \frac{2}{7} \times \sqrt{60 + 6\sqrt{2}} \times Truncated Cuboctahedron Edge \]

Where:

Explanation: This formula calculates the long edge length based on the truncated cuboctahedron edge measurement using specific mathematical constants and operations.

3. Importance of Long Edge Calculation

Details: Accurate calculation of the long edge is crucial for geometric modeling, architectural design, and mathematical studies involving polyhedra and their properties.

4. Using the Calculator

Tips: Enter the truncated cuboctahedron edge value in meters. The value must be a positive number greater than zero.

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: What units should I use for input?
A: The calculator uses meters as the default unit, but you can use any consistent unit of length as the result will be in the same units.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric relationship between the truncated cuboctahedron edge and the long edge of the hexakis octahedron.

Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to the relationship between the truncated cuboctahedron and hexakis octahedron.

Q5: What if I get an error in calculation?
A: Ensure you've entered a valid positive number for the truncated cuboctahedron edge and that your input doesn't contain any special characters or letters.

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