Continuum Hypothesis is False

Continuum hypothesis states "There is no set whose cardinality is strictly between that of the integers and the real numbers".

Resolution:
Express each set in question, as a set of points on (ND) Euclidean space,
and calculate their fractal dimension to compare their cardinality =>

Set of all integers => Fractal Dimension=0
Set of all real numbers => Fractal Dimension=1
Set of all complex numbers => Fractal Dimension=2
Set of all quaternion numbers => Fractal Dimension=4
Set of all octonion numbers => Fractal Dimension=8
Set of all sedenion numbers => Fractal Dimension=16
Set of all points of a certain fractal => Fractal Dimension:
Cantor set: 0.6309
Koch curve: 1.2619
Sierpinski triangle: 1.5849
Sierpinski carpet: 1.8928
Pentaflake: 1.8617
Hexaflake: 1.7712
Hilbert curve: 2