1. What is the Edge Length of Gyrobifastigium?

The Edge Length of Gyrobifastigium is the length of any edge of a Gyrobifastigium, which is a Johnson solid formed by attaching two triangular prisms base-to-base with a 90-degree rotation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge Length of Gyrobifastigium (m)
• \( \frac{R}{V} \) — Surface to Volume Ratio (1/m)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: This formula calculates the edge length based on the surface to volume ratio of the Gyrobifastigium, using mathematical constants and geometric relationships.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometric properties of Gyrobifastigium, including its volume, surface area, and other dimensional characteristics in geometric modeling and analysis.

4. Using the Calculator

Tips: Enter the surface to volume ratio in 1/m. The value must be positive and greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a Gyrobifastigium?
A: A Gyrobifastigium is a Johnson solid (J26) formed by attaching two triangular prisms base-to-base with a 90-degree rotation between them.

Q2: What are the typical applications of this calculation?
A: This calculation is used in geometry, architecture, and 3D modeling where precise dimensional analysis of Gyrobifastigium shapes is required.

Q3: How accurate is this formula?
A: The formula is mathematically exact for ideal Gyrobifastigium shapes and provides precise edge length calculations based on surface to volume ratio.

Q4: Can this calculator handle different units?
A: The calculator uses meters as the base unit. Ensure consistent units when inputting surface to volume ratio values.

Q5: What if I get an unexpected result?
A: Verify that the input value is positive and check for any unit conversion requirements. The surface to volume ratio must be greater than zero.