6 citations · 11 across the 4 of their papers we have counts for
6 papers
A hierarchical structure in the motion representation of 2-state number-conserving cellular automata
Gil-Tak Kong, Katsunobu Imai, Toru Nakanashi
A one-dimensional two-state number-conserving cellular automaton (NCCA) is a cellular automaton whose states are 0 or 1 and where cells take states 0 and 1 and updated their states…
On weak universality of three-dimensional Larger than Life cellular automaton
Katsunobu Imai, Kyosuke Oroji, Tomohiro Kubota
Larger than Life cellular automaton (LtL) is a class of cellular automata and is a generalization of the game of Life by extending its neighborhood radius. We have studied the thre…
Corona limits of tilings : Periodic case
Shigeki Akiyama, Jonathan Caalim, Katsunobu Imai +1
We study the limit shape of successive coronas of a tiling, which models the growth of crystals. We define basic terminologies and discuss the existence and uniqueness of corona li…
5-State Rotation-Symmetric Number-Conserving Cellular Automata are not Strongly Universal
Katsunobu Imai, Hisamichi Ishizaka, Victor Poupet
We study two-dimensional rotation-symmetric number-conserving cellular automata working on the von Neumann neighborhood (RNCA). It is known that such automata with 4 states or less…
A Universal Semi-totalistic Cellular Automaton on Kite and Dart Penrose Tilings
Katsunobu Imai, Takahiro Hatsuda, Victor Poupet +1
In this paper we investigate certain properties of semi-totalistic cellular automata (CA) on the well known quasi-periodic kite and dart two dimensional tiling of the plane present…
Simulations between triangular and hexagonal number-conserving cellular automata
Katsunobu Imai, Bruno Martin
A number-conserving cellular automaton is a cellular automaton whose states are integers and whose transition function keeps the sum of all cells constant throughout its evolution.…