1. What is the Long Edge of Deltoidal Icositetrahedron?

The Long Edge of Deltoidal Icositetrahedron is the length of the longest edge of the identical deltoidal faces of a Deltoidal Icositetrahedron. It is an important geometric measurement in this specific polyhedron.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• SA:V — Surface to Volume Ratio of the Deltoidal Icositetrahedron (1/m)
• √ — Square root function

Explanation: The formula calculates the long edge length based on the surface to volume ratio of the deltoidal icositetrahedron, incorporating specific mathematical constants related to this geometric shape.

3. Importance of Long Edge Calculation

Details: Calculating the long edge is crucial for understanding the geometric properties of deltoidal icositetrahedrons, which are important in crystallography, material science, and mathematical geometry studies.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is a Deltoidal Icositetrahedron?
A: A Deltoidal Icositetrahedron is a Catalan solid with 24 deltoidal (kite-shaped) faces, 26 vertices, and 48 edges.

Q2: Why is the surface to volume ratio important?
A: The surface to volume ratio is a fundamental property that affects many physical and chemical characteristics of geometric shapes and materials.

Q3: What are typical values for SA:V ratio?
A: The SA:V ratio varies depending on the size and specific geometry of the deltoidal icositetrahedron, with smaller objects typically having higher ratios.

Q4: Are there limitations to this calculation?
A: This calculation assumes a perfect deltoidal icositetrahedron shape and may not account for real-world imperfections or variations.

Q5: What units should I use for the result?
A: The result is in meters (m), matching the input units of the surface to volume ratio (1/m).