1. What is Edge Length of Truncated Cuboctahedron?

The edge length of a truncated cuboctahedron is the measurement of any edge of this Archimedean solid. It is a fundamental geometric property used in various mathematical and engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Total Surface Area — The total surface area of the truncated cuboctahedron (m²)
• √ — Square root function
• √2 — Square root of 2 (approximately 1.4142)
• √3 — Square root of 3 (approximately 1.7321)

Explanation: This formula derives from the geometric properties of the truncated cuboctahedron, relating its edge length to its total surface area through mathematical constants.

3. Importance of Edge Length Calculation

Details: Calculating the edge length is essential for understanding the geometry of truncated cuboctahedrons, which are used in architecture, crystallography, and mathematical modeling.

4. Using the Calculator

Tips: Enter the total surface area in square meters. The value must be positive and valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a truncated cuboctahedron?
A: A truncated cuboctahedron is an Archimedean solid with 26 faces: 12 squares, 8 regular hexagons, and 6 regular octagons.

Q2: Why are there square roots in the formula?
A: The square roots come from the geometric relationships and trigonometric properties inherent in the truncated cuboctahedron's structure.

Q3: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to truncated cuboctahedrons. Other polyhedra have different geometric relationships.

Q4: What are typical applications of truncated cuboctahedrons?
A: They are used in architectural design, molecular structures, mathematical education, and geometric art.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values and proper implementation of the formula.