Step 2 of 4
Explore the Structure
Look at the construction, its points and its distances. Ratios between distances are what become frequencies.
Scroll or pinch to zoom, drag to move.
Geometry structure
The complete construction, whatever is shown in the drawing.
19
Points
shown
20
Circles
shown
0
Lines
none in this shape
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 |
|---|---|---|
| |C0C1| | 1.0000 | 1.0000 |
| |C0C5| | 1.7321 | 1.7321 |
| |C0C2| | 2.0000 | 2.0000 |
| |C0C6| | 2.6458 | 2.6458 |
| |C0C14| | 3.0000 | 3.0000 |
| |C0C11| | 3.4641 | 3.4641 |
| |C0C15| | 3.6056 | 3.6056 |
| |C2C16| | 4.0000 | 4.0000 |
Mathematical details
19 circles of radius R centred on a hexagonal lattice of spacing R (all lattice points within two rings of the origin), enclosed by a bounding circle of radius 3R.
Symmetry: Dihedral D6.
Symbolic interpretation
Harmony and the web of life — The larger overlapping-circle lattice grown ring by ring.
Found as decoration in many cultures; modern esoteric writers attribute creation symbolism to it.