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The Short Ridge Length of Great Icosahedron is defined as the maximum vertical distance between the finished bottom level and the finished top height directly above of Great Icosahedron. It is an important geometric measurement in polyhedral studies.
The calculator uses the formula:
Where:
Explanation: This formula calculates the short ridge length based on the known long ridge length using mathematical constants and geometric relationships specific to the Great Icosahedron.
Details: Accurate calculation of ridge lengths is crucial for geometric modeling, architectural design, and understanding the structural properties of the Great Icosahedron polyhedron.
Tips: Enter the Long Ridge Length in meters. The value must be positive and greater than zero for accurate calculation.
Q1: What is a Great Icosahedron?
A: The Great Icosahedron is one of the four Kepler-Poinsot polyhedra, featuring 20 triangular faces that intersect each other.
Q2: What's the difference between short and long ridge lengths?
A: The long ridge connects the peak vertex and adjacent vertex of the pentagon, while the short ridge represents the maximum vertical distance in the structure.
Q3: Are there any limitations to this formula?
A: This formula is specifically designed for the Great Icosahedron and may not apply to other polyhedral structures.
Q4: What units should I use for input?
A: The calculator uses meters as the default unit, but the formula works with any consistent unit system.
Q5: How accurate is this calculation?
A: The calculation provides mathematical precision based on the geometric properties of the Great Icosahedron, limited only by computational floating-point precision.