Expanding Geometric Ratio Series (Golden Mean):
1.000, 1.272, 1.618, 2.058, 2.618, 3.33
Contracting Geometric Ratio Series (Golden Mean):
0.786, 0.618, 0.486, 0.382, 0.300, 0.236
Harmonic Ratio Series of the Square:
Square Root of 2 - 1.4142
Sacred Cut - 0.707
Expanding Harmonic Series of the Sqaure:
1.000, 1.4142, 2.000, 2.828, 4.000, 5.656
Contracting Harmonic Series of the Square:
1.000, 0.7071, 0.500, 0.354, 0.250, 0.177
Expanding 3rd Dimension Harmonic Series (Cube):
1.000, 1.732, 3.000, 5.200, 9.000
Contracting 3rd Dimension Harmonic Series:
1.000, 0.577, 0.333, 0.192, 0.111
4th Dimension of the Square (Diagonal of 2 Squares):
Square Root of 5 = 2.236 Reciprocal = 0.447
Cardinal Ratios
Expanding Cardinal Ratio Series:
3.000, 2.236, 2.000, 1.732, 1.618, 1.414
Contracting Cardinal Ratio Series:
0.333, 0.447, 0.577, 0.618, 0.707