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.
9
Points
shown
2
Circles
shown
16
Lines
shown
Measurements & ratios 3
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) | 0.3827 | 1.0000 |
| r(C0) | 1.0000 | 2.6131 |
| |P2P5| | 1.8478 | 4.8284 |
Mathematical details
8 points on a circle of radius R joined as the star polygon {8/step}, with spokes to the centre and the star's inner circle.
Symmetry: Dihedral D8.
Symbolic interpretation
Eight-fold stars appear in Islamic and Buddhist art.