1. What is Cubical Edge Length of Tetrakis Hexahedron?

The Cubical Edge Length of Tetrakis Hexahedron is the length of the line connecting any two adjacent vertices of cube of Tetrakis Hexahedron. It is a fundamental geometric measurement in this polyhedral structure.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{cube} \) — Cubical Edge Length of Tetrakis Hexahedron (m)
• \( l_{pyramid} \) — Pyramidal Edge Length of Tetrakis Hexahedron (m)

Explanation: This formula establishes the proportional relationship between the cubical edge length and pyramidal edge length in a Tetrakis Hexahedron, where the cubical edge is exactly 4/3 times the pyramidal edge length.

3. Importance of Cubical Edge Length Calculation

Details: Accurate calculation of cubical edge length is crucial for geometric modeling, architectural design, and understanding the spatial properties of Tetrakis Hexahedron structures in various applications.

4. Using the Calculator

Tips: Enter the pyramidal edge length in meters. The value must be positive and valid for accurate calculation of the corresponding cubical edge length.

5. Frequently Asked Questions (FAQ)

Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that can be seen as a cube with square pyramids added to each face.

Q2: Why is the ratio 4:3 between cubical and pyramidal edges?
A: This specific ratio maintains the geometric symmetry and proper proportions of the Tetrakis Hexahedron structure.

Q3: 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.

Q4: What are practical applications of this calculation?
A: This calculation is useful in crystallography, architectural design, and 3D modeling where Tetrakis Hexahedron structures are employed.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of the Tetrakis Hexahedron.