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The Radius of Oloid is defined as the distance between the centers of circles perpendicular to each other, in Oloid shape. It is a fundamental parameter that determines the size and proportions of the Oloid structure.
The calculator uses the formula:
Where:
Explanation: This formula calculates the radius of one circle of an Oloid based on its surface to volume ratio, which describes the relationship between the surface area and volume of the three-dimensional shape.
Details: Calculating the radius of an Oloid is essential for geometric modeling, architectural design, and engineering applications where Oloid shapes are used. Understanding this relationship helps in optimizing material usage and structural properties.
Tips: Enter the surface to volume ratio of the Oloid in 1/meter units. The value must be greater than zero to obtain a valid radius calculation.
Q1: What is an Oloid?
A: An Oloid is a three-dimensional curved geometric shape that was discovered by Paul Schatz in 1929. It's the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes.
Q2: What are typical applications of Oloids?
A: Oloids are used in various applications including mixing devices, architectural designs, kinetic sculptures, and mathematical models due to their unique rolling properties and aesthetic appeal.
Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the established geometric relationship between the radius and surface to volume ratio of an Oloid.
Q4: Can this formula be used for partial Oloids?
A: No, this formula applies specifically to complete, standard Oloid shapes with the defined geometric properties.
Q5: What units should I use for the calculation?
A: The calculator uses meters for length units, but the formula is dimensionally consistent, so any consistent unit system can be used as long as the surface to volume ratio is in reciprocal length units.