My understanding is that the daisy wheel and other geometric patterns were basically design/drafting aids.

It is a way to quickly and accurately draw repeatable patterns and scale drawings without measuring. The scale drawing can be easily "blown up" to full size by stepping off the appropriate number of times with the dividers.

We often use 1/4 by 1/4 graph paper as an easy way to draw accurate scale drawings. They used the daisy wheel. So my belief is that it's not magic, it's just a tool they used to first make scale drawings and to then lay out the building full scale.

It is faster and easier to draw the daisy wheel's 7 circles than to lay out an accurate grid.

Geometry is really pretty neat.