TMBR: August 2026: Difference between revisions

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* [[TT|TT (Terminating Turmites)]]
* [[TT|TT (Terminating Turmites)]]
** On August 3, Discord user creeperman7002 discovered a new step and score champion for TT(3,3), <code>1PB2PA0PC_2TB1PC2PB_2PB1PZ0PA</code>, running for 715,764,479 steps.
** On August 3, Discord user creeperman7002 discovered a new step and score champion for TT(3,3), <code>1PB2PA0PC_2TB1PC2PB_2PB1PZ0PA</code>, running for 715,764,479 steps.
** On August 8, Discord user creeperman7002 discovered a new step champion for TT(3,3), <code>1PB0TC1PA_2PC1PZ2PA_2TC0PA2PC</code>, running for <math>2.27\cdot10^{248}</math> steps.
** On August 8, Discord user creeperman7002 discovered a new step champion for TT(3,3), <code>1PB0TC1PA_2PC1PZ2PA_2TC0PA2PC</code>, running for 2.27 × 10<sup>248</sup> steps.


TODO: [[Pebble Automaton]]
TODO: [[Pebble Automaton]]

Revision as of 05:51, 28 September 2026

Prev: July 2026 This Month in Beaver Research Next: September 2026

This edition of TMBR is in progress and has not yet been released. Please add any notes you think may be relevant (including in the form a of a TODO with a link to any relevant Discord discussion).

BB Adjacent

  • TT (Terminating Turmites)
    • On August 3, Discord user creeperman7002 discovered a new step and score champion for TT(3,3), 1PB2PA0PC_2TB1PC2PB_2PB1PZ0PA, running for 715,764,479 steps.
    • On August 8, Discord user creeperman7002 discovered a new step champion for TT(3,3), 1PB0TC1PA_2PC1PZ2PA_2TC0PA2PC, running for 2.27 × 10248 steps.

TODO: Pebble Automaton

TODO: Wang Tiles

TODO: SKI Calculus

TODO: Cyclic Tag

Holdouts

  • BB(6)
    • On August 3, prurq found three machines to halt.[1][2][3]
    • On August 5, q64 simulated another TM to halt.
    • On August 15, Discord user jacobrschwartz proved another TM halting.
    • Later that day, mxdys released a new holdouts list of 1,016 machines up to equivalence, this is a 4.51% reduction compared to the previous holdouts lists.
    • On August 24, Discord user flintt_6 informally proved another TM halting.
    • On August 26, q64 proved another TM halting.
    • On August 30, mxdys released another holdouts list of 1,003 machines up to equivalence.
    • On August 31, mxdys released another holdouts list of 999 machines up to equivalence.
  • BB(2,7)
    • Terry Ligocki enumerated 150K more subtasks, increasing the number of holdouts to 2,651,060,579. A total of 850K subtasks out of the 1 million subtasks (or 85%) have been enumerated.