Like the cave, the tree circle recalls architecture's primitive roots.

Unlike most modern authors he did not always choose the smallest primitive root.

Thus, 3 and 5 are the primitive roots modulo 14.

We can use this to test for primitive roots.

A number m for which these k results are all different from 1 is a primitive root.

Sending a to a primitive root of unity gives an isomorphism between the two.

Indeed, suppose that ω is a primitive 3rd root of unity.

This is recommended in order to keep the number of "primitive" roots low and thus to maintain its learnability.

The whole society seems to rise from those primitive roots.

I think it gets in tune with our primitive roots.