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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's a fundamental geometric measurement in this polyhedral structure.
The calculator uses the formula:
Where:
Explanation: This formula calculates the octahedral edge length based on the insphere radius using the geometric relationship specific to the Triakis Octahedron structure.
Details: Calculating the octahedral edge length is crucial for understanding the geometric properties, volume, surface area, and other dimensional characteristics of the Triakis Octahedron in mathematical and engineering applications.
Tips: Enter the insphere radius value in meters. The value must be positive and valid for accurate calculation of the octahedral edge length.
Q1: What is a Triakis Octahedron?
A: A Triakis Octahedron is a Catalan solid that is the dual of the truncated cube. It has 24 isosceles triangular faces, 14 vertices, and 36 edges.
Q2: How is the insphere radius defined for a Triakis Octahedron?
A: The insphere radius is the radius of the largest sphere that can be contained within the Triakis Octahedron such that it touches all faces tangentially.
Q3: What are typical applications of this calculation?
A: This calculation is used in crystallography, molecular modeling, architectural design, and geometric analysis where Triakis Octahedron structures are relevant.
Q4: Are there limitations to this formula?
A: This formula is specifically designed for perfect Triakis Octahedron shapes and assumes ideal geometric conditions without deformations or irregularities.
Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurements to meters before input, then convert the result back to your desired unit.