1. What is Long Edge Of Deltoidal Icositetrahedron?

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

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Insphere Radius — The radius of the sphere contained by the Deltoidal Icositetrahedron
• 22, 15, 34 — Constant coefficients derived from the geometry
• √2 — Square root of 2 (approximately 1.4142)

Explanation: This formula establishes the mathematical relationship between the insphere radius and the long edge length of the deltoidal icositetrahedron.

3. Importance of Long Edge Calculation

Details: Calculating the long edge is crucial for geometric analysis, 3D modeling, architectural design, and understanding the spatial properties of deltoidal icositetrahedrons in various applications.

4. Using the Calculator

Tips: Enter the insphere radius value in meters. 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 deltoid (kite-shaped) faces, 26 vertices, and 48 edges.

Q2: What is the insphere radius?
A: The insphere radius is the radius of the largest sphere that can be contained within the polyhedron, touching all its faces.

Q3: Are there other edges in this polyhedron?
A: Yes, the deltoidal icositetrahedron has both long and short edges due to its deltoidal face structure.

Q4: What are typical applications of this calculation?
A: This calculation is used in crystallography, architectural design, mathematical modeling, and geometric analysis.

Q5: How accurate is this formula?
A: The formula is mathematically exact for perfect deltoidal icositetrahedrons and provides precise calculations when correct inputs are provided.