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The Pyramidal Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of pyramid of Tetrakis Hexahedron. It's an important geometric measurement in this polyhedron structure.
The calculator uses the formula:
Where:
Explanation: This formula calculates the pyramidal edge length based on the total surface area of the Tetrakis Hexahedron, using the mathematical relationship between these two properties.
Details: Calculating the pyramidal edge length is crucial for understanding the geometric properties of Tetrakis Hexahedron, which has applications in crystallography, architecture, and mathematical modeling of complex structures.
Tips: Enter the total surface area in square 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 can be seen as a cube with square pyramids on each face. It has 24 faces, 36 edges, and 14 vertices.
Q2: How is this different from a regular hexahedron?
A: While a regular hexahedron is a cube with 6 square faces, a Tetrakis Hexahedron has 24 isosceles triangular faces formed by adding pyramids to each face of a cube.
Q3: What are the practical applications of this calculation?
A: This calculation is useful in crystallography, architectural design, and 3D modeling where precise geometric measurements are required for Tetrakis Hexahedron structures.
Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to the Tetrakis Hexahedron. Other polyhedra have different mathematical relationships between their surface area and edge lengths.
Q5: What units should I use for the calculation?
A: The calculator uses meters for length and square meters for area, but you can use any consistent unit system as long as you maintain unit consistency throughout your calculations.