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 7
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) | 0.2588 | 1.0000 |
| |C6C7| | 0.5176 | 2.0000 |
| |C6C8| | 1.0000 | 3.8637 |
| |C6C9| | 1.4142 | 5.4641 |
| |C4C8| | 1.7321 | 6.6921 |
| |C3C8| | 1.9319 | 7.4641 |
| |C2C8| | 2.0000 | 7.7274 |
Mathematical details
Central circle of radius R; 12 touching petal circles of radius R·sin(π/12) centred on it; a hexagram of two equilateral triangles (point up and point down) inscribed in the central circle.
Symmetry: Dihedral D6 (petals alone are D12).
Symbolic interpretation
Twelve-petalled lotus with the six-pointed star, associated with air, love and balance. Experimental chakra-inspired construction defined in this product; traditional chakra iconography varies and this is one reproducible reading of it.