Files
math-research/papers
didericis 6c6d1eac94 coloring_nested_tire_graphs: clarify uniqueness-failure figure
Previous figure shaded all of B in red, making it look like X
and Y were the same red region. New version distinguishes:

  - X (annulus between H_d and H_{d-1}) = light cyan.
  - Y (exterior of H_{d-1}) = light yellow.
  - A (inside H_d) = white.
  - B (low-side face of H_d) = everything outside red dashed
    boundary = cyan ∪ yellow.

Now visually clear:
  - X is the cyan annulus (proper subset of B).
  - Y is the yellow exterior (proper subset of B).
  - B = X ∪ Y, neither X nor Y contains all of B.

The two arrows from "face B" label point at both regions to
emphasize B spans both faces of H_{d-1}.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
2026-05-26 23:36:42 -04:00
..