Reading the Wake: Period Bounds and Inverse Synthesis for Langton's Ant

A prescribed finite odd-class wake, non-axis drift and heading determine a computable period cutoff. Integer-clock and crossing-flow bounds cover diagonal drift; reciprocal exponential moments cover general non-axis drift. An exact finite-word realization criterion then yields terminating inverse synthesis with a constructive finite seed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23402421
Primary Topic
Cellular Automata and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Reading the Wake: Period Bounds and Inverse Synthesis for Langton's Ant

Ke Hao
Zenodo (CERN European Organization for Nuclear Research)
Cellular Automata and Applications
preprint

Reading the Wake: Period Bounds and Inverse Synthesis for Langton's Ant

Ke Hao
preprint en

Abstract

A prescribed finite odd-class wake, non-axis drift and heading determine a computable period cutoff. Integer-clock and crossing-flow bounds cover diagonal drift; reciprocal exponential moments cover general non-axis drift. An exact finite-word realization criterion then yields terminating inverse synthesis with a constructive finite seed.

Zenodo (CERN European Organization for Nuclear Research)
Cellular Automata and Applications
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.