Given an arbitrary triangle ∆ABC, the inscribed circle is constructible by 3 angle bisectors. The circumscribed circle is constructible by 3 perpendicular bisectors of the 3 sides. However, if the triangle is equilateral then both circles share a common center and the radii are in the ratio of 2 to 1. This is the minimum ratio. For all other triangles, the ratios are greater than 2. And the centers are separated by a minimum length. In nature, the ratio of ˝ occurs often as in the virial theorem of kinetic energy and potential energy, in the zero-point energy of ˝hω0. This ratio also appears in the hexagonal symmetry of snowflakes. At this minimum ratio, a minimum length exist known as the infinitesimal congruence of spacetime points. This minimum length is the Planck length of 1/10 meter.