What is the Boids algorithm?

Boids is a 1986 algorithm by Craig Reynolds that simulates flocking behaviour using three simple rules: Separation (avoid crowding), Alignment (steer toward average heading), and Cohesion (steer toward average position). It produces realistic murmuration-like flocking patterns.

What is reaction-diffusion morphogenesis?

Reaction-diffusion is a mathematical model (Gray-Scott) based on Alan Turing's 1952 morphogenesis paper. Two virtual chemicals (activator and inhibitor) interact and diffuse to create complex organic patterns like spots, stripes, and mazes seen in nature.

Can I interact with the simulations?

Yes — click on the canvas to add particles or inject chemicals. Use the sliders to change speed, behaviour rules, or chemical reaction parameters in real time.

Are the simulations free?

Yes — all simulations run entirely in your browser using HTML5 Canvas and JavaScript. They are completely free and require no login.

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Complex phenomena — murmuration, morphogenesis, chaos — ko live simulations se samjho. Sirf dekhna nahi, khud control karo.

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Simulation 01

Murmuration

Hazaron parinde bina kisi leader ke ek jism ki tarah kyun urte hain?

BOIDS SIM

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Collective Behavior · Emergence

Sirf Teen Rules —
Lakhon Patterns

Craig Reynolds ne 1986 mein daryaft kiya ke parindey kisi "master plan" ke bina urte hain. Har parinda sirf apne 7 qareeb padosi ko dekhta hai. In teen simple rules se woh sab kuch hota hai jo tum screen par dekh rahe ho.

↔️

Separation
Agar koi bohot qareeb aa jaye to dur hato — takrao mat

→

Alignment
Neighbours jis taraf ja rahe hain, usi taraf mudo

●

Cohesion
Group ke centre ki taraf kheencho — akela mat chod

Birds300

Speed2.2

Separation1.5

Alignment1.0

Cohesion0.8

Mouse canvas par le jao to birds interact karenge

Real Fact: Starlings ki murmurations mein 100,000 se zyada parinde hote hain. Ye sab ek hawk se bachne ke liye ek saath react karte hain — sirf ek neighbor ke touch karne se pure flock mein signal 0.02 seconds mein phail jaata hai.

Simulation 02

Morphogenesis

Cheetah ke dhabbe, zebra ki dhaariyan, samundar ki machhliyon ke patterns — yeh kaise bante hain?

Reaction-Diffusion · Alan Turing

Qudrat ka Secret Code —
Do Chemicals

1952 mein Alan Turing — jo computer ka baba tha — ne ek ajeeb paper likha: "Sirf do chemicals kaafi hain poori qudrat ke patterns banana ke liye." Chemical A (Activator) khud ko aur B ko badhata hai. Chemical B (Inhibitor) sirf A ko rokta hai — lekin zyada tezi se phailta hai. Is maqablay se spots, stripes, spirals, sab kuch nikalte hain.

🟢

Activator (A)
Slow diffusion — jahan hai wahan zyada hota hai (spot ka centre)

🔴

Inhibitor (B)
Fast diffusion — spread hokar A ko aas paas rokta hai (spot ka rim)

⚡

Feed Rate (f)
Kitni nai A aayi? Kam = stripes, zyada = spots, bahut zyada = maze

Feed Rate (f)0.055

Kill Rate (k)0.062

Canvas par click/drag karo — chemicals inject karo

Real World: Cheetah ke cubs ke dhabbe — asal mein embryo mein in do chemicals ka khel hota hai. Turing ka model 1952 ka hai — lekin 2012 mein scientists ne actual mouse ke palate mein exactly yahi pattern confirm kiya. 60 saal baad prove hua!

REACTION-DIFFUSION

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More Coming

Aur Concepts Add Hone Waale Hain

Double Pendulum (Chaos Theory), Conway's Game of Life, Wave Interference, Gravity Simulator — jo concept chahiye batao, woh add karte hain.

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