Step 2 of 4
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.
4
Points
shown
2
Circles
shown
6
Lines
shown
Measurements & ratios 2
Each length divided by the reference length gives a ratio r. These ratios become frequencies in the next step.
| Measurement | Length | Ratio r |
|---|---|---|
| |P0P2| | 1.0000 | 1.0000 |
| |P2P3| | 1.7321 | 1.7321 |
Mathematical details
Two circles of radius R whose centres lie on each other's circumference (centre distance R). Intersections at (0, ±R√3/2).
Symmetry: Dihedral D2.
Symbolic interpretation
Two worlds meeting in balance — Two equal circles, each passing through the other's centre.
Used in medieval architecture and Christian iconography; associated with creation and the meeting of two worlds.