1. What is Midsphere Radius of Deltoidal Hexecontahedron?

The Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

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

3. Importance of Midsphere Radius Calculation

Details: Calculating the midsphere radius is important in geometric analysis and 3D modeling of deltoidal hexecontahedrons, particularly in crystallography and architectural design applications.

4. Using the Calculator

Tips: Enter the symmetry diagonal 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 polyhedron with 60 deltoid (kite-shaped) faces, 120 edges, and 62 vertices.

Q2: What is the Symmetry Diagonal?
A: The Symmetry Diagonal is the diagonal which cuts the deltoid faces of Deltoidal Hexecontahedron into two equal halves.

Q3: What are typical values for Midsphere Radius?
A: The midsphere radius varies depending on the size of the deltoidal hexecontahedron, typically ranging from a few centimeters to several meters in practical applications.

Q4: What are the applications of this calculation?
A: This calculation is used in crystallography, architectural design, and mathematical modeling of complex polyhedral structures.

Q5: How accurate is this formula?
A: The formula provides mathematically exact results for ideal deltoidal hexecontahedron geometries.