1. What is the Edge Length of Snub Cube?

The edge length of a snub cube is the length of any edge of this Archimedean solid. The snub cube is a polyhedron with 38 faces: 6 squares and 32 equilateral triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_e \) — Edge Length of Snub Cube (m)
• \( r_c \) — Circumsphere Radius of Snub Cube (m)
• \( [Tribonacci_C] \) — Tribonacci constant (≈1.839286755214161)

Explanation: This formula relates the edge length of a snub cube to its circumsphere radius using the Tribonacci constant, which appears in various geometric properties of this polyhedron.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometric properties of the snub cube, including its surface area, volume, and other dimensional characteristics.

4. Using the Calculator

Tips: Enter the circumsphere radius in meters. The value must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is a snub cube?
A: A snub cube is an Archimedean solid with 38 faces (6 squares and 32 equilateral triangles), 60 edges, and 24 vertices.

Q2: What is the Tribonacci constant?
A: The Tribonacci constant is the real root of the equation x³ - x² - x - 1 = 0, approximately equal to 1.839286755214161.

Q3: How is the circumsphere radius defined?
A: The circumsphere radius is the radius of the sphere that contains the snub cube such that all vertices lie on the sphere's surface.

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

Q5: Are there other ways to calculate the edge length?
A: Yes, the edge length can also be calculated from other parameters like midsphere radius, surface area, or volume using different formulas.