1. What is the Octahedral Edge Length of Triakis Octahedron?

The Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron. It is a fundamental geometric measurement in this polyhedral structure.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( le(Octahedron) \) — Octahedral Edge Length of Triakis Octahedron (m)
• \( rm \) — Midsphere Radius of Triakis Octahedron (m)

Explanation: The formula establishes a direct proportional relationship between the octahedral edge length and the midsphere radius, where the edge length is exactly twice the midsphere radius.

3. Importance of Octahedral Edge Length Calculation

Details: Calculating the octahedral edge length is essential for understanding the geometric properties of the Triakis Octahedron, including its surface area, volume, and other dimensional relationships in geometric modeling and analysis.

4. Using the Calculator

Tips: Enter the midsphere radius in meters. The value must be positive and valid (radius > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a Triakis Octahedron?
A: A Triakis Octahedron is an Archimedean dual solid formed by attaching square pyramids to each face of a regular octahedron.

Q2: What is the midsphere radius?
A: The midsphere radius is the radius of the sphere that is tangent to all edges of the polyhedron.

Q3: Are there other ways to calculate the octahedral edge length?
A: Yes, the octahedral edge length can also be calculated from other parameters such as the total surface area or volume of the Triakis Octahedron.

Q4: What are typical values for these measurements?
A: Values depend on the specific Triakis Octahedron being measured, but all measurements should maintain positive values with appropriate units.

Q5: Can this formula be applied to other polyhedra?
A: No, this specific formula applies only to the Triakis Octahedron and its geometric properties.