This is the link for the next section:
https://1drv.ms/b/s!AnmqNbk0QgkYgYBe7xpPqnEf-Ut-KA?e=AuXhLN
UPDATE 1:
Then the plane of v=c should be discussed. That is the limit point of the sphere shrinking into a point. Currently, extended R includes two zones: the finite and inf zones. However, the paper model has an additional zone. When the sphere shrinks into a point the inf and zero planes turn into one entity, and the sphere is no longer a sphere, instead, it becomes the centre of the new plane. This separates it from the inf plane. When the entire unit circle collapses into a point, the inversion of that point relative to the unit circle constructs the entire new plane and all elements of the new plane are inversions of the unit length. That is why all velocities are measured c at the speed of c. Also, The structure of the new plane is independent of the inf plane.
In the next section, this idea will be explained.