Home
Back
Formula Used:
| From: | To: |
The edge length of a Sphenocorona is the measurement of any edge of this specific polyhedron. A Sphenocorona is a Johnson solid with 14 faces: 12 equilateral triangles and 2 squares.
The calculator uses the formula:
Where:
Explanation: This formula calculates the edge length based on the total surface area of the Sphenocorona, using the mathematical relationship between surface area and edge length for this specific polyhedron.
Details: Calculating the edge length is essential for understanding the geometry of Sphenocorona, determining its proportions, and for various applications in mathematics, engineering, and 3D modeling where precise measurements are required.
Tips: Enter the total surface area of the Sphenocorona in square meters. The value must be positive and valid. The calculator will compute the corresponding edge length.
Q1: What is a Sphenocorona?
A: A Sphenocorona is a Johnson solid (J86) with 14 faces - 12 equilateral triangles and 2 squares. It's one of the 92 Johnson solids, which are convex polyhedra with regular faces.
Q2: Why is the formula structured this way?
A: The formula derives from the geometric properties of the Sphenocorona, where the total surface area can be expressed in terms of the edge length squared, multiplied by a constant factor involving √3.
Q3: What units should I use?
A: The calculator uses meters for length and square meters for area. Ensure consistent units for accurate results.
Q4: Can this calculator be used for other polyhedra?
A: No, this specific formula applies only to the Sphenocorona. Other polyhedra have different relationships between edge length and surface area.
Q5: What if I get an error or unexpected result?
A: Verify that the input value is positive and that you're using the correct units. The formula requires TSA > 0 to produce a valid edge length.