Oloid Calculation

Calculator and formulas for calculating an oloid

Calculate oloid parameters


An oloid is the convex hull of a frame made by placing two linked congruent circles in perpendicular planes, so that the center of each circle lies on the edge of the other circle. The distance between the circle centers equals the radius of the circles. One third of each circle's perimeter lies inside the convex hull, so the same shape may be also formed as the convex hull of the two remaining circular arcs each spanning an angle of 4π/3.

To calculate an oloid, select the property you know and enter its value. Then click on the 'Calculate' button.


Oloid calculator

 Input
Property
Argument Value
Decimal places
 Results
Radius r
Edge length a
Length l
Height h
Surface S
Volume V
Oloid
Oloid from Xario, CC BY-SA 3.0, via Wikimedia Commons

Oloid
Oloid from Thinkingarena, CC BY-SA 4.0, via Wikimedia Commons

Formulas for an Oloids


Edge length \(\displaystyle a = \frac{4}{3}\cdot π \cdot r\)
Length \(\displaystyle l = 3 \cdot r\)
Height \(\displaystyle h = 2 \cdot r\)
Surface \(\displaystyle S = 4 \cdot π\cdot r^2\)
Volume *) \(\displaystyle V = 3.0524184684 \cdot r^3\)
*)The volume is calculated here by the irrational constant 3.0524184684... as an approximation.

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