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Height of Oloid Formula:
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The Height of Oloid is defined as the distance between the center of the circular base to any point on the circumference of the Oloid. It is a fundamental geometric property of this unique three-dimensional shape.
The calculator uses the Height of Oloid formula:
Where:
Explanation: The height of an oloid is exactly twice its radius, making this a simple linear relationship between these two geometric properties.
Details: Calculating the height of an oloid is essential for various engineering and architectural applications where this unique shape is used, particularly in design, manufacturing, and structural analysis.
Tips: Enter the radius of the oloid in meters. The value must be positive and valid (radius > 0).
Q1: What is an Oloid?
A: An oloid is a three-dimensional curved geometric shape discovered by Paul Schatz in 1929, formed by the convex hull of two circles arranged perpendicular to each other.
Q2: Why is the height exactly twice the radius?
A: Due to the geometric construction of an oloid where two identical circles are arranged perpendicularly, the maximum vertical distance (height) between any two points equals twice the radius.
Q3: What are practical applications of oloids?
A: Oloids are used in various applications including mixing devices, architectural designs, and as mathematical models in engineering due to their unique rolling properties.
Q4: Are there other important dimensions of an oloid?
A: Yes, other important dimensions include the arc length, surface area, and volume, each with their own mathematical relationships to the radius.
Q5: Can this formula be used for all oloids?
A: This formula applies specifically to the standard oloid shape formed by two identical circles. Variations with different circle sizes would have different height relationships.