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The edge length of a truncated icosidodecahedron is the length of any edge of this Archimedean solid. It is a key geometric parameter used in various mathematical and engineering applications involving this polyhedron.
The calculator uses the formula:
Where:
Explanation: This formula calculates the edge length from the total surface area by considering the geometric properties and surface area distribution of the truncated icosidodecahedron.
Details: Calculating the edge length is essential for understanding the geometric properties, volume calculation, and various applications in architecture, materials science, and mathematical modeling involving truncated icosidodecahedrons.
Tips: Enter the total surface area in square meters. The value must be positive and valid for accurate calculation of the edge length.
Q1: What is a truncated icosidodecahedron?
A: A truncated icosidodecahedron is an Archimedean solid with 120 vertices, 180 edges, and 62 faces (30 squares, 20 regular hexagons, and 12 regular decagons).
Q2: Why is this formula specific to truncated icosidodecahedrons?
A: The formula accounts for the unique surface area distribution and geometric properties of this particular polyhedron, which has a specific arrangement of faces and edges.
Q3: What are typical applications of this calculation?
A: This calculation is used in architectural design, material science research, mathematical modeling, and geometric analysis involving truncated icosidodecahedrons.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of the truncated icosidodecahedron, assuming perfect geometric form.
Q5: Can this formula be used for other polyhedrons?
A: No, this formula is specific to truncated icosidodecahedrons. Other polyhedrons have different surface area to edge length relationships.