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.
5
Points
shown
2
Circles
shown
4
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(C0) | 1.0000 | 1.0000 |
| r(C1) | 1.4142 | 1.4142 |
| |P1P2| | 2.0000 | 2.0000 |
Mathematical details
A square of side 2R centred at the origin with its inscribed circle (radius R) and circumscribed circle (radius R√2).
Symmetry: Dihedral D4.
Symbolic interpretation
Heaven and earth in harmony — A square with its inscribed and circumscribed circles.
Associated in many traditions with the meeting of earth (square) and heaven (circle).