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.
Measurements & ratios 13
Each length divided by the reference length gives a ratio r. These ratios become frequencies in the next step.
| Measurement | Length | Ratio r |
|---|---|---|
| r(C1) | 0.1564 | 1.0000 |
| |C3C4| | 0.3129 | 2.0000 |
| r(C21) | 0.5000 | 3.1962 |
| |C1C3| | 0.6180 | 3.9508 |
| |C9C12| | 0.9080 | 5.8042 |
| |C0C3| | 1.0000 | 6.3925 |
| |C3C7| | 1.1756 | 7.5148 |
| |C1C6| | 1.4142 | 9.0403 |
| |C1C7| | 1.6180 | 10.3432 |
| |C1C8| | 1.7820 | 11.3914 |
| |C1C13| | 1.9021 | 12.1592 |
| |C2C13| | 1.9754 | 12.6275 |
| |C3C13| | 2.0000 | 12.7849 |
Mathematical details
Central circle of radius R; 20 touching petal circles of radius R·sin(π/20) centred on it (an abstraction of the thousand-petalled lotus); an inner circle of radius R/2.
Symmetry: Dihedral D20.
Symbolic interpretation
Thousand-petalled lotus, here abstracted to twenty petals, associated with unity and pure awareness. Experimental chakra-inspired construction defined in this product; traditional chakra iconography varies and this is one reproducible reading of it.