1. What is the Edge Length of Gyrobifastigium?

The edge length of a Gyrobifastigium is the length of any edge of this polyhedron. A Gyrobifastigium is a Johnson solid formed by joining two triangular prisms base-to-base with a 90-degree twist.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge Length of Gyrobifastigium (m)
• \( V \) — Volume of Gyrobifastigium (m³)
• \( \sqrt{3} \) — Square root of 3 (approximately 1.732)

Explanation: This formula calculates the edge length from the volume by reversing the volume calculation formula for a Gyrobifastigium.

3. Importance of Edge Length Calculation

Details: Calculating the edge length from volume is important for geometric modeling, architectural design, and understanding the spatial properties of this unique polyhedron.

4. Using the Calculator

Tips: Enter the volume of the Gyrobifastigium in cubic meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: What are the typical applications of this calculation?
A: This calculation is used in geometry, architectural design, and 3D modeling where precise dimensions of polyhedra are required.

Q3: Can this formula be used for other polyhedra?
A: No, this specific formula is derived specifically for the Gyrobifastigium due to its unique geometric properties.

Q4: What is the accuracy of this calculation?
A: The calculation provides exact mathematical results based on the input volume value.

Q5: Are there any limitations to this formula?
A: The formula assumes a perfect Gyrobifastigium shape and may not account for manufacturing tolerances or material properties in real-world applications.