Home
Back
Formula Used:
| From: | To: |
The Length of Oloid is defined as the length of the Oloid from one end to the other. An Oloid is a three-dimensional curved geometric shape formed by the convex hull of two circles of equal radius placed perpendicular to each other.
The calculator uses the formula:
Where:
Explanation: The length of an Oloid is exactly three times its radius. This simple relationship makes calculating the length straightforward once the radius is known.
Details: Calculating the length of an Oloid is important in various engineering and design applications where this unique geometric shape is used, particularly in fluid dynamics, architectural design, and mechanical engineering where Oloid-shaped objects are implemented.
Tips: Enter the radius of the Oloid in meters. The value must be positive and valid (radius > 0). The calculator will compute the length using the formula l = 3 × r.
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 two circles of equal radius placed perpendicular to each other, with each circle passing through the center of the other.
Q2: Why is the length exactly three times the radius?
A: This is a fundamental geometric property of the Oloid shape derived from its mathematical definition and the relationship between the two perpendicular circles that form it.
Q3: What are practical applications of Oloids?
A: Oloids are used in various applications including mixing devices, architectural structures, artistic designs, and mechanical systems where their unique rolling properties and surface area characteristics are beneficial.
Q4: Can this formula be used for any size of Oloid?
A: Yes, the relationship l = 3 × r holds true for Oloids of any size, as long as the two generating circles have equal radius and are perpendicular to each other.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for a perfect Oloid shape. The accuracy in practical applications depends on how precisely the physical object matches the ideal Oloid geometry.