1. What is Symmetry Diagonal of Deltoidal Hexecontahedron?

The Symmetry Diagonal of Deltoidal Hexecontahedron is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves. It is an important geometric property of this polyhedron.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d_{Symmetry} \) — Symmetry Diagonal of Deltoidal Hexecontahedron (m)
• \( r_m \) — Midsphere Radius of Deltoidal Hexecontahedron (m)

Explanation: This formula calculates the symmetry diagonal length based on the given midsphere radius of the deltoidal hexecontahedron.

3. Importance of Symmetry Diagonal Calculation

Details: Calculating the symmetry diagonal is important for understanding the geometric properties and symmetry characteristics of deltoidal hexecontahedrons in mathematical and architectural applications.

4. Using the Calculator

Tips: Enter the midsphere 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 Hexecontahedron?
A: A Deltoidal Hexecontahedron is a Catalan solid with 60 deltoid (kite-shaped) faces, 120 edges, and 62 vertices.

Q2: What is the Midsphere Radius?
A: The midsphere radius is the radius of the sphere that is tangent to all edges of the polyhedron.

Q3: What are the applications of this calculation?
A: This calculation is used in geometry, crystallography, architecture, and 3D modeling where precise polyhedral measurements are required.

Q4: Are there any limitations to this formula?
A: This formula is specifically designed for deltoidal hexecontahedrons and assumes a perfect geometric shape.

Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurement to meters before input.