1. What is the Edge Length of Gyrobifastigium?

The edge length of a Gyrobifastigium is the length of any edge of this specific polyhedron. A Gyrobifastigium 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:

• Total Surface Area — The total surface area of the Gyrobifastigium (m²)
• √ — Square root function

Explanation: This formula derives from the geometric properties of the Gyrobifastigium, relating its edge length to its total surface area through a mathematical relationship.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the dimensions and proportions of a Gyrobifastigium, which is important in geometric modeling, architectural design, and mathematical studies of polyhedra.

4. Using the Calculator

Tips: Enter the total surface area of the Gyrobifastigium in square 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 attaching two triangular prisms base-to-base with a 90-degree rotation between them.

Q2: Why is the formula structured this way?
A: The formula structure reflects the geometric relationship between the edge length and total surface area of this specific polyhedron.

Q3: What are the units for edge length?
A: The edge length is typically measured in meters (m), consistent with the surface area input in square meters (m²).

Q4: Can this calculator handle different units?
A: The calculator expects surface area in square meters. For other units, convert to square meters first before calculation.

Q5: What is the precision of the calculation?
A: The calculator provides results with 6 decimal places precision for accurate geometric calculations.