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The Edge Length of Peaks of Stellated Octahedron refers to the length of any of the edges of the tetrahedral shaped peaks attached on the faces of octahedron to form the Stellated Octahedron. It is a fundamental geometric measurement in this polyhedral structure.
The calculator uses the formula:
Where:
Explanation: The edge length of the peaks is exactly half the edge length of the main stellated octahedron structure.
Details: Accurate calculation of edge lengths is crucial for geometric modeling, 3D design, architectural applications, and understanding the structural properties of stellated polyhedra.
Tips: Enter the edge length of the stellated octahedron in meters. The value must be positive and valid for accurate calculation.
Q1: What is a Stellated Octahedron?
A: A stellated octahedron is a polyhedron formed by attaching tetrahedral peaks to each face of a regular octahedron, creating a star-like structure.
Q2: Why is the peak edge length exactly half?
A: This relationship comes from the geometric construction where each tetrahedral peak has edges that are precisely half the length of the main octahedron's edges.
Q3: Can this formula be used for other stellated polyhedra?
A: No, this specific formula applies only to the stellated octahedron. Other stellated polyhedra have different geometric relationships.
Q4: What are practical applications of this calculation?
A: This calculation is used in mathematical modeling, architectural design, crystal structure analysis, and educational demonstrations of geometric principles.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for ideal geometric constructions. In practical applications, measurement precision and material properties may affect actual results.