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The radius of one circle of an Oloid is defined as the distance between the centers of circles perpendicular to each other, in Oloid shape. Given the height of the Oloid, the radius can be calculated using a simple mathematical relationship.
The calculator uses the formula:
Where:
Explanation: The radius of each circular component of the Oloid is exactly half of its total height. This relationship stems from the geometric construction of the Oloid shape.
Details: Calculating the radius of an Oloid is essential for understanding its geometric properties, surface area calculations, volume estimations, and various engineering applications where Oloid shapes are used.
Tips: Enter the height of the Oloid in meters. The value must be positive and greater than zero. The calculator will compute the corresponding radius.
Q1: What is an Oloid?
A: An Oloid is a three-dimensional curved geometric shape 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: Why is the radius exactly half the height?
A: This relationship comes from the geometric construction where the centers of the two circles are separated by a distance equal to their radius, and the overall height spans from one edge to the opposite edge through the center.
Q3: Can this formula be used for any Oloid?
A: Yes, this formula applies to all standard Oloids where the two constituent circles have equal radii and are perpendicular to each other.
Q4: What are practical applications of Oloids?
A: Oloids are used in various engineering applications including mixing devices, water treatment systems, and architectural designs due to their unique rolling properties and efficient fluid dynamics.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for ideal Oloid shapes. In practical applications, manufacturing tolerances may cause slight variations from the theoretical values.