Home Back

Short Edge Of Deltoidal Hexecontahedron Given Nonsymmetry Diagonal Calculator

Formula Used:

\[ \text{Short Edge} = \frac{3}{22} \times (7 - \sqrt{5}) \times \frac{11 \times d_{\text{Non Symmetry}}}{\sqrt{\frac{470 + 156\sqrt{5}}{5}}} \]

m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Short Edge Of Deltoidal Hexecontahedron?

The Short Edge of Deltoidal Hexecontahedron is the length of the shortest edge of the identical deltoidal faces that make up this complex polyhedron. It is an important geometric measurement in understanding the structure and properties of this shape.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

\[ \text{Short Edge} = \frac{3}{22} \times (7 - \sqrt{5}) \times \frac{11 \times d_{\text{Non Symmetry}}}{\sqrt{\frac{470 + 156\sqrt{5}}{5}}} \]

Where:

3. Formula Explanation

Details: This formula calculates the shortest edge length based on the non-symmetry diagonal measurement. It incorporates mathematical constants and geometric relationships specific to the deltoidal hexecontahedron shape.

4. Using the Calculator

Tips: Enter the NonSymmetry Diagonal value in meters. The value must be positive and greater than zero. The calculator will compute the corresponding short edge length.

5. Frequently Asked Questions (FAQ)

Q1: What is a Deltoidal Hexecontahedron?
A: A deltoidal hexecontahedron is a Catalan solid with 60 deltoid faces, 120 edges, and 62 vertices.

Q2: What is the NonSymmetry Diagonal?
A: The NonSymmetry Diagonal is the diagonal that divides the deltoid faces of Deltoidal Hexecontahedron into two isosceles triangles.

Q3: What are typical values for these measurements?
A: The values depend on the specific size of the polyhedron, but the short edge is typically shorter than the non-symmetry diagonal.

Q4: Can this formula be used for any size of deltoidal hexecontahedron?
A: Yes, the formula is scalable and works for any size as long as the proportions remain consistent.

Q5: What are the practical applications of this calculation?
A: This calculation is primarily used in geometry, mathematics education, and 3D modeling of complex polyhedral shapes.

Short Edge Of Deltoidal Hexecontahedron Given Nonsymmetry Diagonal Calculator© - All Rights Reserved 2025