1. What is Long Edge of Deltoidal Hexecontahedron?

The Long Edge of Deltoidal Hexecontahedron is the length of the longest edge of the identical deltoidal faces that make up this complex polyhedron. It is an important geometric measurement in understanding the structure and properties of this shape.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( SA:V \) — Surface to Volume Ratio of Deltoidal Hexecontahedron (1/m)

Explanation: This formula calculates the long edge length based on the surface to volume ratio of the deltoidal hexecontahedron, incorporating mathematical constants and square root functions.

3. Importance of Long Edge Calculation

Details: Calculating the long edge is essential for geometric analysis, 3D modeling, and understanding the spatial properties of deltoidal hexecontahedrons in mathematical and engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is a Deltoidal Hexecontahedron?
A: A deltoidal hexecontahedron is a Catalan solid with 60 deltoidal faces, 120 edges, and 62 vertices.

Q2: What are typical values for SA:V ratio?
A: The surface to volume ratio varies depending on the size and proportions of the specific deltoidal hexecontahedron.

Q3: What units are used in this calculation?
A: The calculator uses meters for length measurements and 1/m for surface to volume ratio.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the geometric properties of the deltoidal hexecontahedron.

Q5: Can this calculator handle very large or small values?
A: Yes, within the limits of floating-point arithmetic and reasonable geometric proportions.