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The Edge Length of a Rhombicuboctahedron is the length of any edge of this Archimedean solid, which has 8 triangular and 18 square faces. It's a key geometric parameter for this polyhedron.
The calculator uses the mathematical formula:
Where:
Explanation: This formula establishes the precise mathematical relationship between the midsphere radius and the edge length of a Rhombicuboctahedron.
Details: Calculating the edge length is essential for determining various geometric properties of the Rhombicuboctahedron, including surface area, volume, and other dimensional relationships in geometric modeling and architectural applications.
Tips: Enter the midsphere radius in meters. The value must be positive and valid. The calculator will compute the corresponding edge length of the Rhombicuboctahedron.
Q1: What is a Rhombicuboctahedron?
A: A Rhombicuboctahedron is an Archimedean solid with 8 triangular faces and 18 square faces, totaling 26 faces, 24 vertices, and 48 edges.
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.
Q3: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to the Rhombicuboctahedron. Other polyhedra have different geometric relationships.
Q4: What are practical applications of this calculation?
A: This calculation is used in architecture, 3D modeling, crystallography, and geometric design where precise dimensional relationships are required.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of the Rhombicuboctahedron, providing precise results for any valid input.