1. What is the Edge Length of Gyroelongated Square Pyramid?

The edge length of a gyroelongated square pyramid is the length of any edge of this geometric solid, which is formed by elongating a square pyramid with a square antiprism.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Height \) — Height of the gyroelongated square pyramid (m)

Explanation: This formula calculates the edge length based on the given height of the gyroelongated square pyramid, using square root functions and mathematical constants.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is important for understanding the geometric properties of the gyroelongated square pyramid and for applications in architecture, engineering, and mathematical modeling.

4. Using the Calculator

Tips: Enter the height of the gyroelongated square pyramid in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a gyroelongated square pyramid?
A: A gyroelongated square pyramid is a Johnson solid formed by elongating a square pyramid with a square antiprism.

Q2: What are typical edge length values?
A: Edge length values depend on the height of the pyramid and can vary significantly based on the specific dimensions.

Q3: Can this calculator be used for other pyramid types?
A: No, this specific formula is designed only for gyroelongated square pyramids.

Q4: What precision does the calculator provide?
A: The calculator provides results with up to 12 decimal places for accuracy.

Q5: Are there any limitations to this calculation?
A: The formula assumes ideal geometric conditions and may not account for real-world variations in material properties or construction tolerances.