Update medial tire cut labelling

papers/medial_tire_cuts/experiments/full_walk/full_medial_tire_cut_walk_1.md

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+# Full medial tire cut walk 1
+
+- base vertices: 20
+- deep-embedded vertices: 30
+- deep-embedded edges: 84
+- graph seed: 59
+- deep-embedded minimum degree: 3
+- chosen source cap vertex: 24
+- recognised treads: 11
+- skipped treads: [(0, 'only 0 up teeth')]
+- removed source-dual edges: 29
+- annular/cap cuts: 12
+- up-apex cuts: 17
+
+- dual cut figure: `full_medial_tire_cut_walk_1_dual.png`
+- tire cut grid: `full_medial_tire_cut_walk_1_tires.png`
+- combined PDF: `full_medial_tire_cut_walk_1.pdf`
+
+| tread | depth | component | annular | up | singleton down | bite apexes | entry | closing cuts | up-apex cuts | shared/entry skipped |
+|--:|--:|--:|--:|--:|--:|--:|--:|--:|--:|--:|
+| T1 | 1 | 0 | 9 | 3 | 6 | 0 | e2 | 1 | 2 | 1 |
+| T2 | 2 | 0 | 17 | 6 | 11 | 0 | e15 | 1 | 5 | 1 |
+| T3 | 3 | 0 | 3 | 3 | 0 | 0 | e1 | 1 | 2 | 1 |
+| T4 | 3 | 1 | 3 | 3 | 0 | 0 | e1 | 1 | 2 | 1 |
+| T5 | 3 | 2 | 3 | 3 | 0 | 0 | e1 | 1 | 2 | 1 |
+| T6 | 3 | 3 | 3 | 3 | 0 | 0 | e0 | 1 | 2 | 1 |
+| T7 | 3 | 4 | 3 | 3 | 0 | 0 | e1 | 1 | 2 | 1 |
+| T8 | 3 | 5 | 3 | 3 | 0 | 0 | e1 | 1 | 2 | 1 |
+| T9 | 3 | 6 | 3 | 3 | 0 | 0 | e0 | 1 | 2 | 1 |
+| T10 | 3 | 7 | 3 | 3 | 0 | 0 | e2 | 1 | 2 | 1 |
+| T11 | 3 | 8 | 3 | 3 | 0 | 0 | e2 | 1 | 2 | 1 |
+
+## Removed Source-Dual Edges
+
+- annular/cap: `[(0, 20), (0, 21), (1, 6), (7, 8), (11, 25), (11, 26), (12, 27), (15, 29), (16, 28), (19, 24), (22, 5), (23, 4)]`
+- up apexes: `[(0, 5), (1, 5), (2, 3), (2, 7), (4, 5), (8, 9), (10, 3), (10, 18), (11, 16), (12, 15), (12, 16), (13, 14), (13, 15), (14, 4), (16, 17), (18, 6), (19, 9)]`