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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 an important geometric measurement in this polyhedral structure.
The calculator uses the formula:
Where:
Functions Used: Square root function (sqrt) - takes a non-negative number as input and returns its square root.
Details: Calculating the pyramidal edge length is crucial for understanding the geometric properties of Triakis Tetrahedron, determining its structural characteristics, and for various applications in mathematics, engineering, and material science.
Tips: Enter the total surface area in square meters. The value must be positive and valid. The calculator will compute the corresponding pyramidal edge length.
Q1: What is a Triakis Tetrahedron?
A: A Triakis Tetrahedron is a Catalan solid that can be constructed by attaching a triangular pyramid to each face of a regular tetrahedron.
Q2: Why is the formula structured this way?
A: The formula derives from the geometric relationship between the total surface area and the pyramidal edge length in a Triakis Tetrahedron, incorporating mathematical constants specific to this polyhedron.
Q3: What units should I use for input?
A: The calculator expects total surface area in square meters (m²) and returns pyramidal edge length in meters (m). Consistent units are essential for accurate results.
Q4: Can this calculator handle very large or very small values?
A: Yes, the calculator can process a wide range of positive values, though extremely large or small numbers may be limited by computational precision.
Q5: Is this formula applicable to all polyhedrons?
A: No, this specific formula applies only to the Triakis Tetrahedron due to its unique geometric properties and mathematical relationships.