1. What is 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 used in crystallography and solid geometry.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{e(Octahedron)} \) — Octahedral Edge Length (m)
• \( TSA \) — Total Surface Area of Triakis Octahedron (m²)

Explanation: This formula calculates the octahedral edge length based on the total surface area of the Triakis Octahedron, using mathematical constants and geometric relationships.

3. Importance of Octahedral Edge Length Calculation

Details: Accurate calculation of octahedral edge length is crucial for geometric modeling, crystallographic studies, and material science applications where precise dimensional measurements are required.

4. Using the Calculator

Tips: Enter the total surface area in square meters. The value must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Triakis Octahedron?
A: A Triakis Octahedron is a Catalan solid that can be seen as an octahedron with triangular pyramids added to each face.

Q2: What are the applications of this calculation?
A: This calculation is used in crystallography, material science, and geometric modeling where precise dimensional measurements of polyhedra are required.

Q3: What units should be used for input?
A: The calculator uses square meters for surface area input, but consistent units must be maintained throughout the calculation.

Q4: Are there limitations to this formula?
A: This formula is specifically designed for Triakis Octahedrons and may not apply to other geometric shapes or polyhedra.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise when correct input values are provided, though real-world measurements may introduce some error.