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The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron. It is a fundamental geometric measurement in this polyhedral structure.
The calculator uses the mathematical formula:
Where:
Explanation: The formula establishes a proportional relationship where the pyramidal edge length is exactly three-fifths of the tetrahedral edge length in a Triakis Tetrahedron.
Details: Accurate calculation of pyramidal edge length is crucial for geometric modeling, architectural design, and understanding the spatial properties of Triakis Tetrahedron structures in various applications.
Tips: Enter the tetrahedral edge length in meters. The value must be positive and valid for accurate calculation of the pyramidal edge length.
Q1: What is a Triakis Tetrahedron?
A: A Triakis Tetrahedron is a Catalan solid that can be constructed by attaching triangular pyramids to each face of a regular tetrahedron.
Q2: Why is the ratio 3/5 used in the formula?
A: The 3/5 ratio is derived from the geometric properties and proportional relationships inherent in the Triakis Tetrahedron structure.
Q3: Can this calculator be used for other polyhedra?
A: No, this specific formula and calculator are designed exclusively for Triakis Tetrahedron calculations.
Q4: What units should be used for input?
A: The calculator accepts input in meters, but the formula is unit-agnostic. The result will be in the same units as the input.
Q5: How accurate is the calculation?
A: The calculation is mathematically exact based on the proportional relationship defined by the formula, provided accurate input values are given.