4D Phase Space Trajectory Kit with ESP32
ESP32 4D Phase Space Trajectory Kit – Build an Animated Lorenz Attractor with Colour Time Axis
Every part needed, pre-tested for compatibility, with an AI build companion trained on this exact project. Shipped from Bengaluru in 3-5 days.
Transform a set of differential equations into a living, breathing chaos machine. This kit places the Lorenz attractor—the most famous example of deterministic chaos—directly into your hands. The ESP32 crunches Runge-Kutta integration in real time, while the 2.4-inch TFT renders the evolving trajectory as a 3D projection. A fourth dimension, time, flows through the colour palette, creating a visualization you can tweak with potentiometers and enclose in a permanent, solder-built device.
What You'll Build
You’ll assemble a standalone embedded system that computes the Lorenz system and displays its phase-space evolution. The device runs autonomously: turn it on, and the iconic butterfly wings appear instantly. Adjusting the two potentiometers changes the viewing angle and simulation speed, while the colour gradient from deep violet to bright yellow traces history, making the chaotic orbit legible as a 4D trajectory.
What You'll Learn
- Implement numerical integration (fourth-order Runge-Kutta) on a constrained microcontroller
- Render 3D point clouds on an SPI TFT using optimized projection math
- Map time to a continuous colour axis for genuine 4‑D visualization
- Design and solder a permanent electronics enclosure from a prototyping board
Kit Contents
| Component | Quantity |
|---|---|
| ESP32 Dev Board | 1 |
| 2.4in TFT ILI9341 | 1 |
| Tactile Button | 2 |
| 10kΩ Potentiometer | 2 |
| 100nF Caps | 5 |
| PCB Prototype Board | 2 |
| 5V 2A PSU | 1 |
| Enclosure Box | 1 |
| Soldering Iron | 1 |
| Solder Wire | 1 |
Why Buy This Kit Instead of Sourcing Parts Separately
| Factor | Sourcing Separately | Compoden Kit |
|---|---|---|
| Compatibility checks | You verify every part | Pre-tested as a system |
| Build support | Forums and scattered tutorials | AI companion trained on this exact project |
| Time to first working build | Days of debugging | Hours, with step-by-step guidance |
| Shipping coordination | Multiple sellers, multiple delays | One shipment from Bengaluru in 3-5 days |
Who This Kit Is For
Final-year B.Tech students in ECE, EEE, or CS exploring nonlinear dynamics will find a ready-made capstone project. Smart India Hackathon hardware-track teams can fork it as a live demo of embedded computation. Physics enthusiasts and researchers who want a tangible, always-running visualization of the butterfly effect will appreciate the soldered, permanent enclosure. This kit also fits advanced ATL tinkering mentors and IIT/NIT fest project displays.
Built and Backed by Compoden
Every Compoden kit ships with an AI build companion trained on this exact project — accessible via a QR code on the box, with WhatsApp and email backup. We've spent 10 years building projects for makers, schools, and institutions across India. If a part fails because of a manufacturing defect, replace it free within 7 days.
What if I get stuck during the build?
The AI companion covers every solder joint and code upload. If you still need help, WhatsApp support from our Bengaluru team responds within hours.
What is the Lorenz attractor and why visualize it in 4D?
The Lorenz system is a set of three differential equations that model atmospheric convection, famous for its chaotic, butterfly-shaped trajectory. Adding colour as a time axis reveals the order hidden in chaos—showing which regions the trajectory visits most and how it orbits unstable equilibrium points.
Does this kit require prior soldering experience?
It is designed for advanced builders; you will solder all components onto prototyping boards. Basic through-hole soldering skill is assumed. The AI companion includes close-up images of every joint to guide you.
Can I modify the simulation parameters?
Absolutely. The source code (provided via the AI companion) lets you change the Prandtl, Rayleigh, and Beta constants. The two potentiometers are mapped to view angle and speed, and you can reassign them to any runtime variable.
Lorenz attractor computed on ESP32 and rendered as animated 3D projection on TFT with colour time axis.
What's in this kit
Choose your assembly option:
- Soldering Kit — 25W soldering iron, 60/40 solder wire, flux, and small perfboard for permanent assembly.
- Breadboard Combo — 800-point full-size breadboard with 65-piece jumper wire pack for solderless prototyping.
Other projects you can build
Shipping Information
- Prepaid Orders: ₹75 for orders up to ₹999, FREE shipping above ₹999
- COD Orders: ₹125 shipping + ₹50 COD fee = ₹175 total
- Delivery Timeline: Dispatch in 1-2 days, delivery in 2-7 days depending on location
Returns & Warranty
- 7-Day Return: Manufacturing defects only (approval required)
- Warranty: 7 days from delivery
- Non-Returnable: Batteries, consumables, cut wires, clearance items