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Short Ridge Length of Great Icosahedron Calculator

Formula Used:

\[ \text{Short Ridge Length} = \frac{\sqrt{10}}{5} \times \text{Edge Length} \]

m

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1. What is Short Ridge Length of Great Icosahedron?

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 the study of this complex polyhedron.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

\[ \text{Short Ridge Length} = \frac{\sqrt{10}}{5} \times \text{Edge Length} \]

Where:

3. Formula Explanation

Mathematical Basis: The formula derives from the geometric properties of the Great Icosahedron, where the short ridge length maintains a constant ratio of √10/5 to the edge length of the polyhedron.

4. Using the Calculator

Instructions: Enter the edge length of the Great Icosahedron in meters. The value must be positive and greater than zero. The calculator will automatically compute the corresponding short ridge length.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the edge length?
A: The calculator accepts edge length in meters, but you can use any consistent unit as the result will be in the same unit.

Q2: Is this formula specific to the Great Icosahedron?
A: Yes, this formula applies specifically to the Great Icosahedron and its geometric properties.

Q3: What is the precision of the calculation?
A: The calculator provides results with 6 decimal places precision for accurate measurements.

Q4: Can I use this for other polyhedra?
A: No, this formula is specifically derived for the Great Icosahedron and may not apply to other polyhedral shapes.

Q5: What if I get an error in calculation?
A: Ensure you've entered a valid positive number for the edge length and try again.

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