1. A 0d point exists.

2. This 0d point projects in one direction as the division of one 0d point to two 0d points.

3. This projection results in a line as 1 direction. This line is equivotable to 1 or -1 as a number line.

4. The division of 0 by 0, considering the 0 is divided through itself into 2 0d points, results in both 1 and -1 as the quantifiable line itself.

5. Each line divided by a 0d point results in 1/2 and -1/2 lines as both 2 and -2 lines.

6. 2 and -2 , as lines divided by 0, results in 1/4 and -1/4 lines as 4 and -4 lines. Each division by zero is a process of halving.

7. Each line as a number is a number as a Direction thus 1-->1 manifests as 2, -2, 1/2, -1/2,

1-->2 manifests as 3, -3, 1/3,-1/3, etc.

A line directed into another line results in the line projecting itself through the summation of lines.

1 line directed to 2 lines can be observed as a single line projecting to two more lines for a total of 3 lines where each line is 1/3 as 1 line :

.___.

.___.___.___.

8. Each line as projecting to another line, results in the 0d point as a point of inversion from one line into another. 0 acts as a divisor for each line.

9. 0/0 results in one point projecting in one direct. A 0d point as directed in all directions results in infinite lines as a circle. 0/0, while equal to 1 as evidenced by the line, also equals infinity as infinite lines which results in a circle. The division of zero results in 1 set of infinite lines as 1 infinity. Each line is 1/inf of the total number of lines. Dually considering all positive lines are relatively negative given an opposing direction the division of 0 by zero results in negative infinity and -1/inf.

10. The division of 1 circle, as infinite lines, results in a series of infinite circles as each point of the circumferance results in a series of circles. These infinite circles into result in a new circle where each point of the circumferance is a center point for a new circle, thus resulting in a circle within circle.