Home
Back
Formula Used:
| From: | To: |
The Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron, which is an Archimedean solid created by truncating the vertices of a dodecahedron.
The calculator uses the formula:
Where:
Explanation: This formula establishes the mathematical relationship between the edge length of the original dodecahedron and the resulting truncated dodecahedron.
Details: Calculating the edge length of truncated dodecahedron is essential for geometric modeling, architectural design, and understanding the properties of this specific Archimedean solid in three-dimensional space.
Tips: Enter the dodecahedral edge length in meters. The value must be positive and greater than zero for accurate calculation.
Q1: What is a Truncated Dodecahedron?
A: A Truncated Dodecahedron is an Archimedean solid obtained by cutting off the corners of a regular dodecahedron, resulting in 20 regular triangular faces and 12 regular decagonal faces.
Q2: Why is the square root of 5 used in this formula?
A: The square root of 5 appears due to the geometric relationships and proportions inherent in the dodecahedron's structure and its truncated form.
Q3: What are the applications of Truncated Dodecahedron?
A: Truncated Dodecahedrons are used in various fields including architecture, molecular modeling, game design, and as geometric puzzles.
Q4: Can this formula be used for other polyhedra?
A: No, this specific formula applies only to the relationship between a dodecahedron and its truncated form. Other polyhedra have different mathematical relationships.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact, though the result is rounded for practical use. The accuracy depends on the precision of the input value.