Abstract:

The center of a regular triangle translates along a circle while rotate along the axis perpendicular to the triangle plane and through the center. If the rotation angle is an integer multiple of 120 degree，the rotated triangle coincides with the original one just after a round circle. This twisted rigid body is called Mobius ring body and its rectangular coordinates are given in the parameters form. Its rotational inertias are calculated just from the integration definition.

Key words: Mobius ring, regular triangle, rotational inertia