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The Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron, which is an Archimedean solid with 26 faces (12 squares, 8 regular hexagons, and 6 regular octagons).
The calculator uses the formula:
Where:
Explanation: This formula calculates the edge length of a truncated cuboctahedron based on its circumsphere radius, using the mathematical relationship between these two geometric properties.
Details: Calculating the edge length is essential for understanding the geometric properties of the truncated cuboctahedron, including its surface area, volume, and other dimensional characteristics in various mathematical and engineering applications.
Tips: Enter the circumsphere radius in meters. The value must be positive and valid for accurate calculation of the edge length.
Q1: What is a Truncated Cuboctahedron?
A: A truncated cuboctahedron is an Archimedean solid that results from truncating the vertices of a cuboctahedron, creating a polyhedron with 26 faces of three different types.
Q2: What is the Circumsphere Radius?
A: The circumsphere radius is the radius of the sphere that contains the truncated cuboctahedron such that all vertices lie on the sphere's surface.
Q3: What are typical values for edge length?
A: The edge length depends on the specific truncated cuboctahedron's size, typically ranging from millimeters to meters depending on the application.
Q4: Are there limitations to this formula?
A: This formula is specifically derived for regular truncated cuboctahedrons and assumes perfect geometric proportions.
Q5: Can this calculator be used for other polyhedrons?
A: No, this calculator is specifically designed for truncated cuboctahedrons. Other polyhedrons have different mathematical relationships between edge length and circumsphere radius.