Step 2 of 4
Explore the Structure
Look at the construction, its points and its distances. Ratios between distances are what become frequencies.
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Geometry structure
The complete construction, whatever is shown in the drawing.
13
Points
shown
13
Circles
shown
78
Lines
shown
Measurements & ratios 8
Each length divided by the reference length gives a ratio r. These ratios become frequencies in the next step.
| Measurement | Length | Ratio r |
|---|---|---|
| r(C0) | 0.5000 | 1.0000 |
| |C4C5| | 1.0000 | 2.0000 |
| |C1C8| | 1.7321 | 3.4641 |
| |C10C11| | 2.0000 | 4.0000 |
| |C2C12| | 2.6458 | 5.2915 |
| |C6C9| | 3.0000 | 6.0000 |
| |C7C9| | 3.4641 | 6.9282 |
| |C7C10| | 4.0000 | 8.0000 |
Mathematical details
The 13 Fruit of Life centres (origin, six at 2R, six at 4R) with all 78 straight segments connecting every pair of centres, plus the 13 circles of radius R.
Symmetry: Dihedral D6.
Symbolic interpretation
Order, protection and the elements — Thirteen circle centres joined by every straight line between them.
Named after the archangel Metatron in later esoteric tradition; said to contain projections of the Platonic solids.