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.
33
Points
shown
4
Circles
shown
88
Lines
shown
Measurements & ratios 11
Each length divided by the reference length gives a ratio r. These ratios become frequencies in the next step.
| Measurement | Length | Ratio r |
|---|---|---|
| |P5P6| | 0.1913 | 1.0000 |
| r(C0) | 0.2500 | 1.3066 |
| |P14P6| | 0.2855 | 1.4923 |
| |P20P12| | 0.3458 | 1.8073 |
| |P10P11| | 0.3827 | 2.0000 |
| |P32P24| | 0.4203 | 2.1968 |
| r(C1) | 0.5000 | 2.6131 |
| |P21P22| | 0.5740 | 3.0000 |
| r(C2) | 0.7500 | 3.9197 |
| |P26P27| | 0.7654 | 4.0000 |
| r(C3) | 1.0000 | 5.2263 |
Mathematical details
m concentric rings of n points (radius R·k/m), alternate rings rotated by π/n, joined to neighbours on adjacent rings.
Symmetry: Dihedral Dn.
Symbolic interpretation
Mandala patterns are central to Hindu and Buddhist practice; this is a geometric abstraction.