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 12
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) | 0.1951 | 1.0000 |
| |C10C11| | 0.3902 | 2.0000 |
| r(C17) | 0.5000 | 2.5629 |
| |C10C12| | 0.7654 | 3.9231 |
| |C0C1| | 1.0000 | 5.1258 |
| |C5C8| | 1.1111 | 5.6955 |
| |C4C8| | 1.4142 | 7.2490 |
| |C3C8| | 1.6629 | 8.5239 |
| |P9P17| | 1.7321 | 8.8782 |
| |C10C16| | 1.8478 | 9.4713 |
| |C1C8| | 1.9616 | 10.0547 |
| |C1C9| | 2.0000 | 10.2517 |
Mathematical details
Central circle of radius R; 16 touching petal circles of radius R·sin(π/16) centred on it; a downward equilateral triangle inscribed in the central circle, with an inner circle of radius R/2 inside it (the triangle's incircle).
Symmetry: Mirror symmetry (petals alone are D16).
Symbolic interpretation
Sixteen-petalled lotus with triangle and full moon circle, associated with ether and expression. Experimental chakra-inspired construction defined in this product; traditional chakra iconography varies and this is one reproducible reading of it.