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The Antiprism Edge Length of a Tetragonal Trapezohedron is the distance between any pair of adjacent vertices of the antiprism which corresponds to the Tetragonal Trapezohedron. It is a fundamental geometric property of this polyhedron.
The calculator uses the mathematical formula:
Where:
Explanation: This formula calculates the antiprism edge length based on the known short edge length of the tetragonal trapezohedron, using the mathematical constant \( \sqrt{2} \).
Details: Calculating the antiprism edge length is essential for understanding the geometric properties of tetragonal trapezohedrons, which are important in crystallography, material science, and geometric modeling applications.
Tips: Enter the short edge length of the tetragonal trapezohedron in meters. The value must be positive and greater than zero. The calculator will compute the corresponding antiprism edge length.
Q1: What is a Tetragonal Trapezohedron?
A: A tetragonal trapezohedron is a polyhedron with eight congruent faces that are deltoids (kites). It is the dual polyhedron of a square antiprism.
Q2: What are the typical applications of this calculation?
A: This calculation is used in crystallography, material science, 3D modeling, and geometric analysis where tetragonal trapezohedrons are studied.
Q3: What units should be used for input?
A: The calculator accepts input in meters, but any consistent unit system can be used as long as the same unit is maintained throughout the calculation.
Q4: How accurate is this formula?
A: The formula is mathematically exact and provides precise results when accurate input values are provided.
Q5: Can this calculator handle very small or very large values?
A: Yes, the calculator can handle a wide range of values, but extremely small values near zero or extremely large values may be limited by computational precision.