Understanding the √5 : Part II

If we divide a square in half we get a √4 rectangle. Diagram 1

Diagram 1
Diagram 1

When we swing the diagonal of the √4 toward the centerline we make a √5 rectangle. Diagram 2

Diagram 2

If we continue to swing the diagonal of the √4 rectangle to the base of the square (in both directions) we also get a √5 rectangle with a square in the middle and (2) Φ rectangles on either side. Remember: √5 = 2.236… & .618… + 1 + .618… = 2.236…  Diagram 3

Diagram 3

If we swing arcs from the sides of the square away from the square… Diagram 4

Diagram 4

and then swing arcs from the base of the mirrored ϕ rectangle… Diagram 5

Diagram 5

and then connect the intersection point with the base of the square we make a Pentagon. Diagram 6

Diagram 6
Diagram 6

If we draw a line to every other corner within the Pentagon we make a Pentagram or five point star. Diagram 7

Diagram 7
Diagram 7

As we saw here– The √5, Pentagon and Pentagram all have ϕ Ratios.


As noted here, we will look at each of these paintings in detail.