Home
Back
Formula Used:
| From: | To: |
The Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere. It represents the sphere that touches the midpoint of every edge of the polyhedron.
The calculator uses the formula:
Where:
Explanation: This formula establishes a direct proportional relationship between the midsphere radius and circumsphere radius of a disheptahedron, with a constant factor of √3/2.
Details: Calculating the midsphere radius is important in geometric modeling, crystallography, and materials science where disheptahedral structures occur. It helps in understanding the spatial relationships and packing efficiency of such polyhedral structures.
Tips: Enter the circumsphere radius in meters. The value must be positive and non-zero. The calculator will compute the corresponding midsphere radius using the mathematical relationship between these two geometric properties.
Q1: What is a Disheptahedron?
A: A disheptahedron is a polyhedron with fourteen faces, typically referring to a specific geometric solid with both hexagonal and pentagonal faces.
Q2: How is the Midsphere Radius different from Circumsphere Radius?
A: The circumsphere radius touches all vertices of the polyhedron, while the midsphere radius touches the midpoints of all edges.
Q3: What are typical values for these radii?
A: The values depend on the specific dimensions of the disheptahedron. The midsphere radius is always √3/2 times the circumsphere radius.
Q4: Can this formula be applied to other polyhedra?
A: No, this specific relationship (rm = √3/2 × rc) is unique to the disheptahedron geometry.
Q5: What precision should I use for these calculations?
A: For most applications, 6-8 decimal places provide sufficient precision, though the calculator shows up to 12 decimal places for accuracy.