Correct the collision table's extent: 17 entries, deltas rise then fall

+5932 is the table's start, not a point inside it: walking backwards, no
predecessor satisfies "ascending with a delta under 4096". The run is 17 entries,
not 19 -- the earlier 19 counted two entries past the jump.

The deltas are

  204 212 216 224 224 228 228 228 224 220 216 200 96 96 100 96

then a jump of 41484 to 190508. The deltas rise and then fall -- a symmetric
profile, not a monotone one. That weakens the prefix-sum reading: a cumulative
offset table has no reason to come back down, whereas cell contents that grow and
shrink as the table walks across a level would.

17 against a 75-cell grid, and 75 - 17 = 58. No arithmetic relating the two has
been found. The earlier guess that 19 related to 3x25 did not survive
re-measurement and is not carried forward.

Still open. 17 entries may not correspond to the grid at all -- the table may
cover something else, or a subset of cells. Resolving it needs either the same
offset found in other levels at a position the leading counts predict, or a
reason for 17. Neither exists yet, and this is where the measurement trail goes
cold on collision.
This commit is contained in:
2026-10-12 03:08:03 +02:00
parent b66e77855c
commit e58ab0e815
+23 -4
View File
@@ -1553,7 +1553,26 @@ grid cells, so it is not one offset per cell -- either most cells share an
offset, are empty, or the table covers something other than the grid. Nothing offset, are empty, or the table covers something other than the grid. Nothing
measured here picks between those. measured here picks between those.
**The next thing to check** is whether level 4's run length, 19, relates to its **Followed up.** `+5932` is the table's *start*, not a point inside it: walking
`3 x 25` grid by any arithmetic, and whether the same offset at `+5932` exists backwards, no predecessor satisfies "ascending with a delta under 4,096". The
in the other levels at a position given by the leading counts. Neither has been run is **17 entries**, not 19 -- the earlier 19 counted two entries past the
tried yet. jump.
The deltas are
204 212 216 224 224 228 228 228 224 220 216 200 96 96 100 96
then a jump of 41,484 to 190,508. So the deltas **rise and then fall** -- a
symmetric profile, not a monotone one. That weakens the prefix-sum reading
somewhat: a cumulative offset table has no reason to come back down, whereas
cell contents that grow and shrink as the table walks across a level would.
**17 against a 75-cell grid, and 75 - 17 = 58.** No arithmetic relating the two
has been found. The earlier guess that 19 related to `3 x 25` did not survive
re-measurement and should not be carried forward.
**Still open.** 17 entries may not correspond to the grid at all -- the table may
cover something else, or cover a subset of cells. Resolving it needs either the
same offset found in other levels at a position the leading counts predict, or a
reason for 17. Neither exists yet, and this is the point at which the
measurement trail goes cold on collision.