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The Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron. It is a fundamental geometric measurement in this polyhedral structure.
The calculator uses the formula:
Where:
Explanation: The formula establishes a direct proportional relationship between the height and the cubical edge length of the Tetrakis Hexahedron, with a constant ratio of 2/3.
Details: Calculating the cubical edge length is essential for understanding the geometric properties of Tetrakis Hexahedron, including its volume, surface area, and other dimensional relationships in geometric modeling and 3D design applications.
Tips: Enter the height of the Tetrakis Hexahedron in meters. The value must be positive and greater than zero for accurate calculation.
Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that is the dual polyhedron of the truncated octahedron. It has 24 isosceles triangular faces.
Q2: Why is the ratio 2/3 used in the formula?
A: The 2/3 ratio is derived from the geometric relationship between the height and the cubical edge length in the specific structure of the Tetrakis Hexahedron.
Q3: Can this calculator be used for other polyhedra?
A: No, this specific formula and calculator are designed specifically for the Tetrakis Hexahedron geometry.
Q4: What are practical applications of this calculation?
A: This calculation is useful in 3D modeling, architectural design, crystallography, and mathematical education where precise geometric measurements are required.
Q5: How accurate is the calculation?
A: The calculation is mathematically exact based on the geometric properties of the Tetrakis Hexahedron, provided accurate input values are given.