Archive · 9 Nov 2025
Engineers Recreate Ornate Boxfish Patterns Using Alan Turing's Math
Imagine a fish with cool, unique spots and stripes.
Scientists are trying to figure out how these patterns grow on the fish.
Two engineers used old math, first thought up by Alan Turing, to make a computer program that can draw these patterns.
This math looks at how tiny parts spread out and react with each other.
The engineers added new ideas to make the computer patterns look even more like real fish, with blurry edges and uneven stripes.
This helps us understand nature better and might help us make new materials for things like camouflage clothes or soft robots in the future.
It shows how even messy, imperfect patterns in nature can be explained by math.
Engineers have created a mathematical model to replicate the intricate skin patterns of the ornate boxfish.
The model is based on Alan Turing's 1952 work on diffusion and chemical reactions that create patterns.
New elements like diffusiophoresis (cell movement) and cell-to-cell collisions were added to achieve more realistic patterns, including imperfections.
The research aims to bridge the gap between idealized mathematical models and the complex reality of biological patterns.
Potential future applications include bio-inspired camouflage fabrics and advancements in soft robotics.
- Who
- Engineers Siamak Mirfendereski and Ankur Gupta
- What
- Developed a mathematical model that can accurately recreate the skin patterns of the ornate boxfish, including natural imperfections.
- When
- The study was published last week.
- Where
- University of Colorado Boulder
- Why
- To better understand the mechanisms behind natural pattern formation in organisms and explore potential bio-inspired applications.
- Organism Studied
- Ornate boxfish
- Mathematical Model Used
- Turing patterns (based on diffusion and chemical reactions)
- New Element Added to Model
- Diffusiophoresis (cell movement) and cell-to-cell collisions
- Key Findings
- Model can accurately recreate natural imperfections in fish skin patterns
- Potential Applications
- Bio-inspired fabrics for camouflage, soft robotics
- Publication Journal
- Matter