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The Tetrahedral Edge Length of Triakis Tetrahedron given Insphere Radius is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron, calculated using the insphere radius measurement.
The calculator uses the formula:
Where:
Explanation: This formula establishes a mathematical relationship between the tetrahedral edge length and the insphere radius of a Triakis Tetrahedron, using a constant coefficient derived from geometric properties.
Details: Calculating the tetrahedral edge length is crucial for understanding the geometric properties of Triakis Tetrahedrons, which are important in crystallography, molecular modeling, and various engineering applications involving polyhedral structures.
Tips: Enter the insphere radius value in meters. The value must be a positive number greater than zero. The calculator will compute the corresponding tetrahedral edge length.
Q1: What is a Triakis Tetrahedron?
A: A Triakis Tetrahedron is a Catalan solid that can be seen as a tetrahedron with triangular pyramids added to each face.
Q2: What units should I use for the input?
A: The calculator uses meters as the unit of measurement. Ensure consistent units for accurate results.
Q3: Can this formula be used for other polyhedrons?
A: No, this specific formula applies only to Triakis Tetrahedrons as it's derived from their unique geometric properties.
Q4: What is the significance of the constant coefficient (4/3)*√(11/2)?
A: This coefficient represents the mathematical relationship between the tetrahedral edge length and insphere radius specific to Triakis Tetrahedron geometry.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of Triakis Tetrahedrons, assuming accurate input values.