Tootfinder

Hexagonal Picture Scanning Automata
Deepalakshmi D, Lisa Mathew
https://arxiv.org/abs/2508.07779 https://arxiv.org/pdf/2508.07779

Hexagonal Picture Scanning Automata
Two new classes of finite automata, called General hexagonal Boustrophedon finite automata and General hexagonal returning finite automata operating on hexagonal grids, are introduced and analyzed. The work establishes the theoretical foundations for these automata models, examines their computational properties, and investigates the relationships and equivalences between the language families they define. The research contributes to the broader understanding of two-dimensional automata theory …

Bounomodes: the grazing ox algorithm for exploration of clustered anomalies
Samuel Matloob, Ayan Dutta, O. Patrick Kreidl, Swapnonel Roy, Ladislau B\"ol\"oni
https://arxiv.org/abs/2507.06960

Bounomodes: the grazing ox algorithm for exploration of clustered anomalies
A common class of algorithms for informative path planning (IPP) follows boustrophedon ("as the ox turns") patterns, which aim to achieve uniform area coverage. However, IPP is often applied in scenarios where anomalies, such as plant diseases, pollution, or hurricane damage, appear in clusters. In such cases, prioritizing the exploration of anomalous regions over uniform coverage is beneficial. This work introduces a class of algorithms referred to as bounomōdes ("as the ox grazes"), which al…