14.134725141735
R = 14134725141735
Stored numerical approximation to the first supplied zero ordinate.
Paper v7.2 · Interactive supplement
The Line Game | Surprise Is Not Meaning
Invariant — the interactive supplement
Move two cards. Keep the exact weight profile. Read a different number.
Then deal both arrangements under the same rule. Choose when to see the result.
01 · Try the swap
One move, one unit, no change in the complete profile.
The source supplies the stored ordinate. The factorial decoder supplies the arrangement. The companion model supplies component contributions. These are different layers.
14.134725141734
R = 14134725141734
Synthetic one-unit edit—not another verified zero.
Position 50KS
Position 5110D
Unchanged
- Inventory and frequencies
- Encoding convention
- Component weight at every position
Changed
- Token order
- Decoded integer
- Continuation in the matched experiment
The message calls on a convention the reader already carries. A later reader may be the person who made the record.
02 · See what the view retains
Orders matching this view
This count uses only the information selected here. The application retains the full arrangement.
Select a position to record its stable token identity. Reveals are stored separately for the original and swapped arrangements.
Exact compatible count
67305847895575919030981099520000000
2! × 1! × 9! × 1! × 9! × 11! × 18!
log₂ count
115.696287
No positions recorded.
Candidate domain
All 51! permutations of the distinct active tokens, with Ⅰ fixed and token-to-class assignments known.
Published pair only
2 candidates match the selected reveals. Positions 50 or 51 distinguish the pair.
These are recorded reveals in this demonstration, not a measurement or erasure of your memory. Exact counts become conditional Shannon entropies only under a stated uniform distribution on compatible orders.
The seven exact contribution classes
| Class | Token roles | Size | Recorded here |
|---|
Class membership comes from exact context counts, not rounded displayed decimals. The last class, T10–T27, has contribution 51 log₂(28) / 1438 for each token.
Static result. Inventory only leaves 51! orders (log₂ 219.880563). The complete component-weight profile leaves exactly 67305847895575919030981099520000000 orders (log₂ 115.696287). Exact identities—or the exact decoded integer with its factorial key—leave one.
03 · Change the alphabet
The record survives a reversible relabeling.
Cards and component marks are two displays of the same stable tokens. The inverse map—not the visual resemblance—does the recovery.
All 51 symbol labels combine a component glyph with a distinct alphabetic category mark. Accessible names retain the token role and card inverse.
Open the reversible legend
Where each fact enters
SourceSupplies a stored numerical approximation to a zero ordinate.
ModelSupplies the component contributions and their exact equal-weight classes.
EncodingUses the supplied integer and a shared reference order to select an arrangement.
RuleDetermines the card continuation from the complete state.
ReaderRecognizes what the recovered record refers to and why the result matters.
04 · Compare the continuations
Same permutation. Same rule. Two exact futures.
The hands below use the saved published permutation. No result autoplays. Step to watch the sequence, or jump to a checkable milestone.
Play & explain
A guided game with milestones, recurrence proof, and optional forgiveness.
Exact state, untranslated
Each number is the fixed card-strength index, low to high. The first number in each queue contests next. The interface does not interpret the outcome or announce recurrence in this mode.
OriginalReady · turn 0Counts [17,17,17]
One-swapReady · turn 0Counts [17,17,17]
Predict the next winner
Take a position on P1, P2, or P3. You can switch until you play; the button follows your current pick.
Choose a player to place the next-round button.
Clean reads 0/0 · streak 0 · best 0
Show the answer data · peek behind the trick
The exact state and comparison key determine the next reveal.
Opening this voids your position for the round. It changes what you know, not what the cards do; forgiveness remains a separate continuation rule.
Original 14.134725141735
One-swap 14.134725141734
Milestones
- Initial full states already differ.
Continuation policy
Under ordinary play, if this deal finishes, its survivor must be the initial holder of KC.
Forgiveness is not active. Ⅰ does not contest.
Exact recurrence certificate
Advanced annotations and exploration
The square sum is a function of current hand counts. Stored numerical heights may label turns, but neither quantity decides a contest or certifies termination. Physical energy is not measured here.
Published fixture loaded. The exact saved permutation—not a seed entered into another generator—is in use.
Local event ledger
- initial: Published original and one-swap arrangements loaded.
Cheat mode · reveal the published data
Published result. On turn 1, P2 reveals 10D in the original and KS in the swap; both winners are P2. Turn 15 is the first different winner and count vector: [17,20,14] versus [14,23,14]. The original finishes with P2 at turn 144. The swapped state at turn 1015 equals its full state at turn 1535, certifying period 520.
05 · Read or verify
Keep the argument and its evidence together.
The frozen release is archived at 10.5281/zenodo.22851517. This page is the primary interactive shell; the original v7.2 HTML remains available below.
Paper
Read PDFDual-titled v7.2 reading PDF.
Tabletop guide
Open guideRules, exact deal, and physical exercise.
Printable cards
Open card setNine print-ready sheets.
Exact card string
Open textArrangement, decoder, rank, and one-swap comparison.
Source & verification
Download sourceFrozen rule, fixtures, counters, and independent checks.
Original v7.2 HTML
Open v7.2 HTMLThe earlier self-contained game and decoder, preserved as an alternate experience.
Zenodo record
Open 10.5281/zenodo.22851517Frozen publication files and release record.
What the demonstration establishes
The cards carry a recorded zero height through a shared convention. The experiment shows how the same measured profile can leave different records and futures unresolved. Its continuation certificate comes from the complete card state and a specified rule. A result about uncomputed zeros would need a proved relation for those zeros. RH remains open.
In ordinary War, a concealed stack keeps an order the players may no longer know. Earlier reveals may remain in memory or a ledger. To assign surprisal, specify what an observer retains and how compatible possibilities are weighted. The tested variant here resolves equal ranks immediately by suit; it has no extended tie battle.