didericis 1aa76a5226 Plot the n=12 size-7 universal breaker tile ...

Add plot_breaker_tile.py and figure for word=UUUDUDUDUDUD bite=(3,11): structure
(7 up teeth = size-7 outer rim, bite (3,11), singleton downs d5,d7,d9) plus a
Kempe-balanced colouring. Reconfirms the outer rim realises 9/10 admissible size-7
necklaces, never 0001112 -- the lone tile that empties the size-7 universal at n=12.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

2026-06-11 23:51:36 -04:00

..

kempe_down_face_sequences_n9_m3

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_down_face_sequences_n9_m4

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_down_face_sequences_n9_m5

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_down_face_sequences_n9_m6

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_up_tooth_sequences_n9_m3

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_up_tooth_sequences_n9_m4

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_up_tooth_sequences_n9_m5

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_up_tooth_sequences_n9_m6

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

tire_realization_seed1

Draw per-graph Realized/Unrealized/Invalid colouring notes

2026-06-11 17:58:41 -04:00

breaker_tile_n12.pdf

Plot the n=12 size-7 universal breaker tile

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breaker_tile_n12.png

Plot the n=12 size-7 universal breaker tile

2026-06-11 23:51:36 -04:00

chained_seam_findings.md

Track odd-size universal trend; the n=12 failure is sporadic, not a trend

2026-06-11 23:40:48 -04:00

check_medial_annular_cycle_condition.py

Add figures, Kempe-cycle section, and restriction experiments

2026-06-11 01:16:05 -04:00

check_medial_face_parity.py

Verify Remark 5.8 mechanism; correct it to level-cycle conservation

2026-06-11 16:33:00 -04:00

check_remark58_bite_rich.py

Verify Remark 5.8 on genuine bite treads

2026-06-11 16:46:53 -04:00

check_remark58_bite.py

Verify Remark 5.8 on genuine bite treads

2026-06-11 16:46:53 -04:00

check_remark58_bitefree.py

Verify Remark 5.8 mechanism; correct it to level-cycle conservation

2026-06-11 16:33:00 -04:00

compare_full_reduced_medial_tires.py

Add medial tire decomposition paper

2026-06-08 15:34:53 -04:00

draw_tire_realization.py

Draw per-graph Realized/Unrealized/Invalid colouring notes

2026-06-11 17:58:41 -04:00

full_medial_tire_generator.py

Add full medial tire graph generator and n=9 atlas

2026-06-11 12:23:57 -04:00

full_medial_tire_n9_atlas.md

Add full medial tire graph generator and n=9 atlas

2026-06-11 12:23:57 -04:00

full_medial_tire_n9_index.txt

Add full medial tire graph generator and n=9 atlas

2026-06-11 12:23:57 -04:00

full_medial_tire_n9.pdf

Add full medial tire graph generator and n=9 atlas

2026-06-11 12:23:57 -04:00

full_medial_tire_n9.png

Add full medial tire graph generator and n=9 atlas

2026-06-11 12:23:57 -04:00

full_vs_reduced_medial_tire_findings.md

Add medial tire decomposition paper

2026-06-08 15:34:53 -04:00

kempe_down_face_sequences.py

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_interface_admissibility_probe.py

Add interface-admissibility probe; confirm parity characterization at n=12

2026-06-11 22:47:46 -04:00

kempe_sequence_orientation_note.md

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_tile_overlap_probe.py

Add tile-overlap probe: per-tile interface subsets always glue

2026-06-11 22:52:38 -04:00

kempe_transfer_relation_probe.py

Add transfer-relation & uniform-family probes (chained-seam / pigeonhole)

2026-06-11 23:16:27 -04:00

kempe_uniform_family_probe.py

Add transfer-relation & uniform-family probes (chained-seam / pigeonhole)

2026-06-11 23:16:27 -04:00

kempe_universal_trend_probe.py

Track odd-size universal trend; the n=12 failure is sporadic, not a trend

2026-06-11 23:40:48 -04:00

kempe_up_tooth_sequences.py

Read up/down apex sequences off the un-deduped census

2026-06-11 22:25:44 -04:00

kempe_valid_colorings_demo.pdf

Add Kempe-balanced colouring definition and validity classifier

2026-06-11 16:00:10 -04:00

kempe_valid_colorings_demo.png

Add Kempe-balanced colouring definition and validity classifier

2026-06-11 16:00:10 -04:00

kempe_valid_colorings.py

Add Kempe-balanced colouring definition and validity classifier

2026-06-11 16:00:10 -04:00

medial_annular_cycle_condition_findings.md

Add figures, Kempe-cycle section, and restriction experiments

2026-06-11 01:16:05 -04:00

medial_tire_restriction_findings.md

Add figures, Kempe-cycle section, and restriction experiments

2026-06-11 01:16:05 -04:00

medial_tire_restriction_search.py

Add figures, Kempe-cycle section, and restriction experiments

2026-06-11 01:16:05 -04:00

plot_breaker_tile.py

Plot the n=12 size-7 universal breaker tile

2026-06-11 23:51:36 -04:00

plot_full_medial_tire_n9.py

Add full medial tire graph generator and n=9 atlas

2026-06-11 12:23:57 -04:00

tire_realization_analysis.py

Draw per-graph Realized/Unrealized/Invalid colouring notes

2026-06-11 17:58:41 -04:00

tire_realization_seed1.md

Add Realized/Unrealized/Invalid tire-colouring analysis

2026-06-11 17:36:34 -04:00