The previous drawings illustrate how the seal of Solomon fits into a pentagon of which the length « H » is

2/phi x 2⁸ x3 Km.

The distance « C » is between the common point of the seal of Solomon and the pentagon, situated in the Gulf of Lions, and Chartres (Fig 24).

The relation between « H » and « C » is as follows

H/C = 1 + 1/3

The distance « b » is from the same common point, to the centre of the circle which contains precisely the pentagon. The centre of the circle is situated at the 11^th century abbey of Saint-Martin at Plaimpied, 10 Km south of Bourges.

The relation between « H » and « b » is

H/b = 1,809 or phi/2 +1

The relation between the above two ratios is the important internal measure of Chartres cathedral :

(1+1/3) / (phi/2 +1) = 0,737

The length of the choir = 50 x 0,737 m

the width of the choir = 20 x 0,737 m

the height of the vault = 50 x 0,737 m,

of which the width of the arch = 20 x 0,737 m

The perimeter of the labyrinth of Chartres cathedral is 38,626 m (see Fig 7 page 12).

The rectangular table having the same perimeter has dimensions of

7,37m (or 10 x 0,737) x 11,94 m.

In respecting the harmonic pattern of consciousness,

11,94 / 7,37 = phi

The transition from the hexagon to the pentagon also produces the crucial geometrical constant p, which is the root of the transformation from an angular to a curved surface (Fig 25).

The distance « H », is the length of the pentagon between the Channel and the Gulf of Lions, and « L » is the geometrically produced internal pentagon.

The relation between « H » and « L » is

H/L = ^phi2

The pentagon is found by dividing a circle into five equal divisions of 72° and the hexagon, or points of the seal of Solomon, is found by dividing a circle into six equal divisions of 60°.

The relation between the angles is

72° / 60° = 1 + 1/5

The relation between the above two ratios is

phi² x (1+1/5) = pi