Where the mark is arbitrary
The curve is a logarithmic spiral and has a reason. The radii around it do not. These three put the eye and the ring onto the spiral's own φ ladder — and the third leaves nothing chosen but one seed radius.
Today — what ships
span 207.9°, radii chosen by eye. reach/discR is exactly 3.
- span
- 1.1550π
- rInner
- 258.13
- discR
- 150.00
- reach
- 450.00
- arm growth
- 1.7433
- rInner/discR
- 1.7208
- reach/discR
- 3.0000
One arm = one φ
span = π exactly, so each arm grows by φ end to end and the pair spans a full turn (φ²). Eye untouched.
- span
- 1.0000π
- rInner
- 278.12
- discR
- 150.00
- reach
- 450.00
- arm growth
- 1.6180 = φ
- rInner/discR
- 1.8541
- reach/discR
- 3.0000
Full φ ladder
span = π AND discR = reach/φ². All three radii read 1 : φ : φ² — nothing in the mark is chosen but the seed.
- span
- 1.0000π
- rInner
- 278.12
- discR
- 171.88
- reach
- 450.00
- arm growth
- 1.6180 = φ
- rInner/discR
- 1.6180 = φ
- reach/discR
- 2.6180 = φ²
Two bugs, independent of any redesign: the docs say the arm “grows by φ every quarter turn” in three files, but the code halves the rate — measured growth is φ per half turn. And biteR is inert at every spec above: the lobe never reaches it, so the ring you see is the spiral's own tail, not the bite.