1. What is NonSymmetry Diagonal of Deltoidal Hexecontahedron?

The NonSymmetry Diagonal of Deltoidal Hexecontahedron is the length of the diagonal which divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles. It is an important geometric property of this polyhedron.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( d_{Non Symmetry} \) — NonSymmetry Diagonal of Deltoidal Hexecontahedron (m)
• \( d_{Symmetry} \) — Symmetry Diagonal of Deltoidal Hexecontahedron (m)
• \( \sqrt{5} \) — Square root of 5 (approximately 2.23607)

3. Mathematical Background

Details: The Deltoidal Hexecontahedron is a Catalan solid with 60 deltoid faces. The relationship between symmetry and non-symmetry diagonals is derived from the geometric properties and trigonometric relationships within this polyhedron.

4. Using the Calculator

Tips: Enter the symmetry diagonal value in meters. The value must be positive and greater than zero. The calculator will compute the corresponding non-symmetry diagonal.

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, 62 vertices, and 120 edges.

Q2: What is the difference between symmetry and non-symmetry diagonals?
A: The symmetry diagonal cuts the deltoid faces into two equal halves, while the non-symmetry diagonal divides them into two isosceles triangles.

Q3: What are the applications of this calculation?
A: This calculation is useful in geometry, crystallography, and architectural design where Deltoidal Hexecontahedron properties are relevant.

Q4: What is the range of valid input values?
A: The symmetry diagonal must be a positive real number greater than zero.

Q5: How accurate is the calculation?
A: The calculation provides results with high precision, typically rounded to 6 decimal places for practical use.