Oloid Calculation

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 Delete Entry Property Radius Edge length Length Height Surface Volume Argument Value Decimal places 0 1 2 3 4 6 8 10  Results Radius r Edge length a Length l Height h Surface S Volume V

Formulas for calculating an oloid

Edge length (\(\small{a}\))

\(\displaystyle a = \frac{4}{3}\cdot π \cdot r\)

Length (\(\small{l}\))

\(\displaystyle l = 3 \cdot r\)

Height (\(\small{h}\))

\(\displaystyle h = 2 \cdot r\)

Surface (\(\small{S}\))

\(\displaystyle S = 4 \cdot π\cdot r^2\)

Volume* (\(\small{V}\))

\(\displaystyle V = 3.0524184684 \cdot r^3\)