THE
COMPARISON BETWEEN CARTESIAN REFERENCE AND CHRYZODE
We go on our investigations and we note that
the details in the chryzodes depend as much on the function as on the
value of the numbers in which the function is represented. We thus carry
out real voyages of discovery. With regard to the classical reference
of representation (the Cartesian reference), the chryzodes point out
aspects hidden by the Cartesian reference. Indeed, let us represent
the relationships between two consecutive squares congruent modulo N:


Click on the picture

Click on the picture

with the Cartesian reference,
we get a fractal shape.

while the system of chryzodes shows
a curious tangle of triangles
whose sides generate a spiral

