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The Edge Length of Disheptahedron is the length of any edge of a Disheptahedron, which is a polyhedron with fourteen faces. It is a fundamental geometric measurement used in various mathematical and engineering applications.
The calculator uses the formula:
Where:
Explanation: This formula calculates the edge length of a disheptahedron based on its midsphere radius, using the mathematical constant √3.
Details: Calculating the edge length is essential for understanding the geometric properties of disheptahedrons, including surface area, volume, and other dimensional relationships in polyhedral geometry.
Tips: Enter the midsphere radius in meters. The value must be valid (radius > 0). The calculator will compute the corresponding edge length of the disheptahedron.
Q1: What is a Disheptahedron?
A: A Disheptahedron is a polyhedron with fourteen faces, combining properties of both cubes and octahedrons in its geometric structure.
Q2: What is the Midsphere Radius?
A: The midsphere radius is the radius of the sphere that is tangent to all edges of the polyhedron, providing a fundamental geometric reference point.
Q3: Why is √3 used in the formula?
A: The square root of 3 appears naturally in geometric calculations involving equilateral triangles and regular polyhedra, reflecting the inherent symmetry of these shapes.
Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to disheptahedrons. Other polyhedra have different mathematical relationships between edge length and midsphere radius.
Q5: What are practical applications of this calculation?
A: This calculation is used in crystallography, architectural design, and mathematical modeling where precise geometric measurements of polyhedral structures are required.