Metrology of Chartres Labyrinth

first published on my Square Space blog on November 26, 2006

The picture below is a composite of three things

  1. The Chartres eleven level labyrinth discussed in chapter seven.
  2. The iconography of Thoth as Pi within the circle (from Temple of Man).
  3. The hexagonal number 19 as circles
Figure 1 Geometry of Thoth and 19 packed circles overlaid the Labyrinth

The 22 units of the 21 unit sector of Thoth’s fathom correspond to 19 “cogs” of the circumference of the Chartre labyrinth.

It is fabulous that the cogs are used to define, by their centres, the perimeter as the unit called ped manualis by the buildersaccording to John James (the foremost investigator of that cathedral’s construction order – see his website).

Whilst the ped manualis is a Royal Foot, 8/7, in Neal’s Standard Geographical variation (times 126/125 and times 176/175), it is also close to 22/19 feet (different by 8 thousandths of an inch and 99.94% accurate). Thus whilst 19 cogs equal 22 units, the cogs are 22/19 which times 19 is 22 feet – plus 19 is a hexagonal number and there is the motif of six petals in the centre.

The entire circumference is, like the iconography of Thoth, 6 x 22 = 132 feet long. Using Pi at 22/7, the 22s cancel and the result is a diameter of 6 x 7 or 42 English feet. Like the Scottish brochs, the units directly interpret the ideal value of Pi itself as 22/7, employing as it does the prime numbers 11/7 that also define "Ancient Model of the World".

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