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Height of Oloid Formula:
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The height of an oloid is defined as the distance between the center of the circular base to any point on the circumference of the Oloid. It is an important geometric parameter that helps characterize the three-dimensional shape of this unique geometric form.
The calculator uses the height of oloid formula:
Where:
Explanation: This formula calculates the height of an oloid based on its edge length, using the mathematical constant π to account for the circular geometry involved in the oloid's construction.
Details: Calculating the height of an oloid is crucial for understanding its geometric properties, volume calculations, and applications in various fields including architecture, engineering, and mathematical modeling where this unique shape is utilized.
Tips: Enter the edge length of the oloid in meters. The value must be valid (greater than 0). The calculator will compute the corresponding height based on the mathematical relationship between these two parameters.
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 the practical applications of oloids?
A: Oloids are used in various applications including mixing devices, architectural designs, mathematical models, and as interesting geometric forms in educational contexts.
Q3: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of the oloid shape, assuming perfect geometric conditions.
Q4: Can this formula be used for any size of oloid?
A: Yes, the formula applies to oloids of any size, as it describes the proportional relationship between edge length and height.
Q5: What units should I use for the input?
A: The calculator expects meters as input, but you can use any consistent unit system as long as you interpret the results in the same units.