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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 establishes the mathematical relationship between the mid ridge length and short ridge length of a Great Icosahedron, incorporating the golden ratio and square root of 10.
Details: Accurate calculation of ridge lengths is crucial for geometric modeling, architectural design, and understanding the structural properties of complex polyhedra like the Great Icosahedron.
Tips: Enter the Mid 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, consisting of 20 triangular faces that intersect each other.
Q2: How is the Mid Ridge Length defined?
A: Mid Ridge Length of Great Icosahedron is the length of any of the edges that starts from the peak vertex and ends on the interior of the pentagon on which each peak of Great Icosahedron is attached.
Q3: What are the practical applications of this calculation?
A: This calculation is used in mathematical modeling, architectural design, computer graphics, and the study of geometric structures.
Q4: Are there limitations to this formula?
A: This formula is specifically designed for the Great Icosahedron geometry and may not apply to other polyhedral structures.
Q5: What units should be used for input?
A: The calculator accepts input in meters, but any consistent unit system can be used as the formula is dimensionally consistent.