Forming field

← Series CMISH / FIELD STUDY 04 N = 7 v0.1.3

SAME SITES

Same generators. Different territory.

Fig. 01 — metric ball L2
Two balls of radius d/2. Their contact set is equidistant. same sites
Select a site

One frozen set of seven generators. Territories are nearest-site partitions under L2, L1, and L-infinity. Ties go to the lower site index. The painted field is a finite raster of that partition, not an exact polygonal construction. The field is a unit square drawn with equal x and y units. Transitions continue the Lp family by interpolating 1/p; finite p uses a stable finite-Lp formula, and only the Chebyshev endpoint uses max(|dx|,|dy|). Main readout statistics are withheld during transitions; the inspection plate identifies its selected endpoint.