Short Edge Of Deltoidal Icositetrahedron Given Nonsymmetry Diagonal Calculator

Formula Used:

\[ \text{Short Edge} = \frac{4+\sqrt{2}}{7} \times \frac{2 \times \text{NonSymmetry Diagonal}}{\sqrt{4+(2 \times \sqrt{2})}} \]

Short Edge Of Deltoidal Icositetrahedron:

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1. What Is The Short Edge Of Deltoidal Icositetrahedron Given Nonsymmetry Diagonal?

The Short Edge of Deltoidal Icositetrahedron is the length of the shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron. This calculator determines this measurement based on the NonSymmetry Diagonal.

2. How Does The Calculator Work?

The calculator uses the formula:

\[ \text{Short Edge} = \frac{4+\sqrt{2}}{7} \times \frac{2 \times \text{NonSymmetry Diagonal}}{\sqrt{4+(2 \times \sqrt{2})}} \]

Where:

NonSymmetry Diagonal — The diagonal which divides the deltoid faces of Deltoidal Icositetrahedron into two isosceles triangles (in meters)

Explanation: This formula calculates the shortest edge length based on the geometric properties of the deltoidal icositetrahedron and its non-symmetry diagonal measurement.

3. Importance Of Short Edge Calculation

Details: Calculating the short edge of a deltoidal icositetrahedron is important in geometric modeling, crystallography, and architectural design where this specific polyhedral shape is used.

4. Using The Calculator

Tips: Enter the NonSymmetry Diagonal value in meters. The value must be a positive number greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a deltoidal icositetrahedron?
A: A deltoidal icositetrahedron is a Catalan solid with 24 deltoid faces, 26 vertices, and 48 edges.

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

Q3: What are typical applications of this calculation?
A: This calculation is used in geometric modeling, crystal structure analysis, and architectural design involving complex polyhedral structures.

Q4: How accurate is this formula?
A: The formula is mathematically precise for ideal deltoidal icositetrahedron geometry.

Q5: Can this calculator handle different units?
A: The calculator uses meters as the default unit, but you can convert your measurements to meters before input.