Mathematical Modeling of Animal Patterns

• GIF

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  Graphical User Interface

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  3D printed result of a canonical stable pattern

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  Pattern with varying feed/kill rates

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  Time-varying unstable pattern

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  canonical stable pattern

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  Another stable pattern with lower feed/kill rates

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  Another perspective on the 3d printed pattern

Animal Pattern generation using Reaction-Diffusion Models

Inspiration

Cool patterns in nature and modelling idea in suggested topics.

What it does

The code numerically simulates a reaction-diffusion model with Gray-Scott functions to generate patterns commonly seen on animals, fish and flora.

How we built it

Using python we generated matrices which followed the reaction-diffusion model and then visualized and animated the simulations.

Challenges we ran into

• having our computers on fire
• Finding the right coefficients for a stable solution.
• Creating a real-time simulation

Accomplishments that we are proud of

We were able to generate verious stable and unstable patterns as well as 3d print one of the stable patterns to see it in real life.

What's next

We mainly focused on the Gray-Scott model, however we wanted to also try out other models, some of which, for example, could generate patterns seen on giraffes.

Built With

• matplotlib
• numpy
• pyqt
• python