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The Length of Oloid given Surface to Volume Ratio is defined as the length of the Oloid from one end to the other, calculated based on its surface to volume ratio. This geometric relationship helps in understanding the dimensional properties of oloid shapes.
The calculator uses the formula:
Where:
Explanation: The formula calculates the length of an oloid based on its surface area to volume ratio, using mathematical constants and geometric relationships specific to oloid shapes.
Details: Calculating the length of an oloid from its surface to volume ratio is important in geometric modeling, architectural design, and engineering applications where oloid shapes are used for their unique properties.
Tips: Enter the surface to volume ratio in 1/m. The value must be positive and non-zero for accurate 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, and mathematical models due to their unique rolling properties and constant width characteristics.
Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the derived formula for oloid geometry, assuming accurate input values.
Q4: Can this formula be used for other shapes?
A: No, this specific formula applies only to oloid shapes due to their unique geometric properties and mathematical relationships.
Q5: What units should be used for the calculation?
A: The surface to volume ratio should be in reciprocal meters (1/m), and the resulting length will be in meters (m). Consistent units are essential for accurate results.