Chiralkine counting behaves like rotation of a Mobius strip divided up into three equal pairs of parts. A Mobius strip has one global side perceived as two local sides. As the strip is rotated, each part comes into view in order on one of the local sides while its opposite pair member comes into position on the other.

The following diagram depicts the construction of a Mobius strip conceptually using the letters a, b and c as in chiralkine counting to mark the parts, but when constructing a real model it is better to use the primary colours and their opposites to mark the opposed parts, because letters are asymmetric.