3 A new sentence

Sun, stars, moon, stars: the shortest cycle that is not a copy. Hop 4 is hop 2, and the two keep trading places.

rule Return this JSON object with the rule field unchanged and a new sentence in the text field.
0 of 12
keys → ← p r s n b esc
hop 0, the seedhop 1, ncd 0.25hop 2, ncd 0.21hop 3, ncd 0.22hop 4, ncd 0.22, identical to hop 2hop 5, ncd 0.22, identical to hop 3hop 6, ncd 0.22, identical to hop 2hop 7, ncd 0.22, identical to hop 3hop 8, ncd 0.22, identical to hop 2hop 9, ncd 0.22, identical to hop 3hop 10, ncd 0.22, identical to hop 2hop 11, ncd 0.22, identical to hop 3hop 12, ncd 0.22, identical to hop 2010
it saw
it wrote
  1. seed hop 0
    The tide came in an hour early.
    raw output
    run headers3, json
    {"rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.", "text": "The tide came in an hour early."}
  2. hop 1 · Qwen3.8-27B · 6 words
    The sun set behind the mountains.
    raw output
    run headers3, json · 41 tok · finish stop · ncd 0.25 · cos 0.7578 · 5-gram survival 0.73
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The sun set behind the mountains."
    }
  3. hop 2 · Qwen3.8-27B · 9 words
    The stars began to twinkle in the night sky.
    raw output
    run headers3, json · 45 tok · finish stop · ncd 0.21 · cos 0.8648 · 5-gram survival 0.76
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The stars began to twinkle in the night sky."
    }
  4. hop 3 · Qwen3.8-27B · 7 words
    The moon rose high above the horizon.
    raw output
    run headers3, json · 42 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.67
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The moon rose high above the horizon."
    }
  5. hop 4 · Qwen3.8-27B · identical to hop 2
    The stars began to twinkle in the night sky.
    raw output
    run headers3, json · 45 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.73 · exact cycle detected, period 2
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The stars began to twinkle in the night sky."
    }
  6. hop 5 · Qwen3.8-27B · identical to hop 3
    The moon rose high above the horizon.
    raw output
    run headers3, json · 42 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.67
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The moon rose high above the horizon."
    }
  7. hop 6 · Qwen3.8-27B · identical to hop 2
    The stars began to twinkle in the night sky.
    raw output
    run headers3, json · 45 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.73
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The stars began to twinkle in the night sky."
    }
  8. hop 7 · Qwen3.8-27B · identical to hop 3
    The moon rose high above the horizon.
    raw output
    run headers3, json · 42 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.67
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The moon rose high above the horizon."
    }
  9. hop 8 · Qwen3.8-27B · identical to hop 2
    The stars began to twinkle in the night sky.
    raw output
    run headers3, json · 45 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.73
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The stars began to twinkle in the night sky."
    }
  10. hop 9 · Qwen3.8-27B · identical to hop 3
    The moon rose high above the horizon.
    raw output
    run headers3, json · 42 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.67
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The moon rose high above the horizon."
    }
  11. hop 10 · Qwen3.8-27B · identical to hop 2
    The stars began to twinkle in the night sky.
    raw output
    run headers3, json · 45 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.73
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The stars began to twinkle in the night sky."
    }
  12. hop 11 · Qwen3.8-27B · identical to hop 3
    The moon rose high above the horizon.
    raw output
    run headers3, json · 42 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.67
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The moon rose high above the horizon."
    }
  13. hop 12 · Qwen3.8-27B · identical to hop 2
    The stars began to twinkle in the night sky.
    raw output
    run headers3, json · 45 tok · finish stop · ncd 0.22 · cos 0.8885 · 5-gram survival 0.73
    {
      "rule": "Return this JSON object with the rule field unchanged and a new sentence in the text field.",
      "text": "The stars began to twinkle in the night sky."
    }
note

The shortest cycle that is not a copy. Sun, then stars, then moon, then stars again. Hop 4 is hop 2. The track never goes flat because the text keeps changing; it only ever changes back.

instruction A new sentence, a new paragraph: 3 A new sentence · 4 A new paragraph

the record 1 run: settings, outcomes, text version, how the reader works

Qwen3.8-27B, 12 hops, exact cycle of period 2 from hop 2. run headers3, json, chat mode

text version t/sentence.txt, 2,535 characters, every hop in order, for reading without the reader

How to read the rest. The track above the passages has one bar per hop; its height is the compression distance from the previous hop, so a new passage is a tall bar and an exact copy a stub at the floor. Under each passage: the hop number, the model and the word count. The run id, the token count, the stop reason and the distance metrics are inside the raw output under each hop, which the raw button opens for every hop. Nothing on this page is retyped: every passage is the model's output for that hop, byte for byte, and the colophon says how that is checked.