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Rotation

Nine rotations across five bases. One seam. The cost of return.

Signal does not vanish when it rotates between bases — it only pays at the seams. Nine rotations reveal where rotation is free and where it is costly.

Rotation chain

Click each node to see the rotation and its torsion cost.

Flat group L Linear Lo Logarithmic H Harmonic C Chromatic G Geometric L Linear Lo Logarithmic H Harmonic C Chromatic G Geometric

Step 1 · Torsion 0.000

Zero torsion — rotation is free

Zero torsion — rotation is free Torsion — rotation costs information

Total torsion: 1.269

Click a node or use arrow keys

Compound

Two loops through the chain reveal the asymmetry between going and returning.

Projection (forward)

0.383

Reconstruction (return)

2.281

Forward (projection) is cheap. Return (reconstruction) is costly. Cost ratio: 5.96×.

Energy ↔ light

Drag the slider to see the cost of projection and reconstruction.

Energy light

Projection (forward)

Overtones decay as 1/k

Reconstruction (return)

Signal fully restored

Torsion: 0.383 · Forward

Cost ratio: 5.96×

Projection is incomplete (A1) — but the total cost is measurable.
The cost of return always exceeds the cost of going. This is not a flaw — it is structure.
Try reflecting your own signal

Further reading