1. What is the Height of Tetrakis Hexahedron?

The Height of Tetrakis Hexahedron is the vertical distance from any vertex of the Tetrakis Hexahedron to the face which is directly opposite to that vertex. It is an important geometric measurement in three-dimensional space.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Tetrakis Hexahedron (m)
• \( l_{e(cube)} \) — Cubical Edge Length of Tetrakis Hexahedron (m)

Explanation: The height is calculated as three halves of the cubical edge length, maintaining the proportional relationship in the Tetrakis Hexahedron geometry.

3. Importance of Height Calculation

Details: Calculating the height of a Tetrakis Hexahedron is essential for understanding its spatial dimensions, volume calculations, and for applications in geometry, architecture, and 3D modeling.

4. Using the Calculator

Tips: Enter the cubical edge length in meters. The value must be valid (greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: What is a Tetrakis Hexahedron?
A: A Tetrakis Hexahedron is a Catalan solid that is the dual of the truncated octahedron. It has 24 faces, each of which is an isosceles triangle.

Q2: How is the height related to other dimensions?
A: The height is directly proportional to the cubical edge length, with a constant factor of 3/2.

Q3: Can this formula be used for any Tetrakis Hexahedron?
A: Yes, this formula applies to all regular Tetrakis Hexahedrons where the cubical edge length is known.

Q4: What are practical applications of this calculation?
A: This calculation is used in geometric modeling, architectural design, and in the study of polyhedral structures.

Q5: How accurate is this formula?
A: The formula is mathematically exact for ideal Tetrakis Hexahedron shapes and provides precise height measurements.