In the Platon's works, the circle was already
used to represent numbers.
The cathedrals were probably built according to a similar method.
A CIRCLE TO DEFINE NUMBERS
THE ORIGINS OF THE CHRYZODES
Why not repeat the process beyond 4 points
To represent number 2 on a circle, a point of origin is determined
on the circumference, a second point is placed and a line joins
To represent number 3, 3 equidistant points are placed and joined
and we obtain a triangle. As the zero is the starting point to study
the scale of numbers, it's useful to keep the same origin.
To represent number 4, the 4 points are joined and we have a square
and a cross.
Above is the obtained figure.
We note that this drawing can also be seen in some middle ages pictures
( Dürer's engravings for example).
Curious as searchers can be, we tried to superpose
every star polygon that can be inscribed within a circle whose circumference
is divided into 5 points first, then 6 points, 7 points, 8 points, etc.,
Click on the picture
In the figure above, every number up to the number 7 are represented.
In the figure below, every number up to the
number 12 is represented, that is the superposition of every star polygon
that can be inscribed in circles divided into from 2 to 12 points.