This is an abstract of the paper that won Best Paper Award 2020 of the Society of Fisheries Engineers. This paper is part of the Shimonoseki Pufferfish Research Project conducted by the National Fisheries University from 2016 to 2019. This paper, as the title suggests, is a mathematical model of a puffer fish pattern. The reason for reproducing pufferfish patterns is to build a system to identify pufferfish species from their body patterns. The research was initiated based on the idea that if the patterns of puffer fish could be reproduced, it could be used effectively to identify puffer fish. Identifying pufferfish species for human consumption is conducted by experts who hold a license to cook pufferfishes. Nevertheless, it is difficult to identify the parental species and the poisoned parts of interspecific hybrid pufferfishes. Therefore, putative hybrids are completely excluded from the distribution process. Developing a system to identify hybrid pufferfishes will decrease the erroneous identification of pufferfish species. In this study, to apply to such identification system, pufferfish skin patterns were replicated using a cellular automata (CA) model. Here the CA model was based on Turing patterns through the exchange of binary values between neighboring cells. Despite the simplicity of the model, which uses five parameters (three parameters related to basic color pattern and two parameters for creating a large black spot) to produce skin patterns, it can produce characteristic skin patterns of all edible species of Takifugu.
