T H E   T O R O I D

genus 1 · 2,894 independent cycles · no centre on the surface · drag to rotate

ETHOS 160PATHOS 189 LOGOS 794MYTHOS 264 [[I]] in the hole

[[ I ]]

the hole

ROOT0: 58.3% coverage, cohesion 0.051, centroid on the corpus centroid. On a torus the centre is not on the surface at all. That is the correct geometry.

GENUS

1

4,300 edges where a tree needs 1,406 → 2,894 independent cycles. A sphere (genus 0) cannot hold them. A torus has two cycle classes: toroidal and poloidal.

L0 · DOMAINS

53

Toroidal bands, width by count, brightness by cohesion. ai is the wide dim band — 300 spheres at 0.088.

L1 · SPHERES

1,407

On the surface, radius exactly 1.0. 83.9% nearest-neighbour cardinal recovery vs 56.4% baseline.

L2 · PERSONAS

11

Vonnegut z+43 · Stephenson z+24.6 · Karsa z+21.4 · Gödel · Aristotle · Turing · Enheduanna 9 : Gilgamesh 1.

the field wraps both ways — poloidal and toroidal — because both cycle classes are real
centroids failed · anchors failed · kings failed — every method that assumed a location
every method that followed edges worked