TheDLA vs NCA Memories

TheDLA Cool Science! TheDLA gives you an essence of pattern formation mechanism in nature. Also, it makes very unique attractive images for you. I wrote a brief description about DLA pattern and TheDLA app in following URL. Please read it! https://sites.google.com/site/dueyama/home/thedla “The DLA” stands for ‘The Diffusion Limited Aggregation’, and it is one of the simplest models that makes complex dendritic pattern. Now, we are talking about Science. You see, there are two types of particles on the field. One is the free particle that moves randomly. Another is the fixed particle that does not move. The free particle attaches to cluster of the fixed particles when it reaches around them. Such a simple pattern forming mechanism builds the attractive complex patterns and this very scientific system is applied for you to have funny hairy nose. But first of all, please check the usage. So, you will be able to enjoy not just hairy nose, but the various patterns YOU are going to create. It is quite amazing that such randomness sometimes create forms and patterns you can find only in nature. Please enjoy the patterns and think why such dendritic patterns appear. If you would like to search the web, keywords may be “DLA” and “Dendrite”. http://en.wikipedia.org/wiki/Diffusion-limited_aggregation To start with, there is a single fixed particle at the center of the field when you start. Usage: - Double tap: Put the fixed particles at the point. The size is possible to change in the setting. - Single tap: Remove the fixed particle at the point. - 2 fingers double tap: Remove all fixed particles from the field + etc. - 2 fingers pan: Pan the field. - Long pressed pan: Draw fixed particles like a pen. - Long pressed pan after a tap: Eraser. - You can chose color to paint the branches. - A “g” button toggles the acceleration sensor of the device (only for the device that has the acceleration sensor). The free particles drift to the direction of the gravity. - Can export the image to the photo library, Twitter and Facebook. In addition, the face detection technology in iOS is used to put the fixed particles on eyes position in the photo. When you are in the Anim mode, exporting the image to the photo library make a GIF anim. So, enjoy patterns! Enjoy science!

Unleash a Universe in Your Pocket Dive into the mesmerizing, complex world of cellular automata with NCA Memories! This isn't just another simulator; it's a high-performance digital laboratory powered by Apple's Metal API. We harness the full power of your device, running simulations at full native resolution to reveal a level of detail you've never seen before. Watch intricate patterns emerge, evolve, and react to your touch. Use the intuitive brush interface to paint new life onto the canvas, erase sections to see what happens, or inject chaos with a spray of noise. You are in complete control of your own digital ecosystem. Key Features: Explore Diverse Rules: Go beyond the classics. Experiment with a library of different cellular automata update rules, each creating its own unique patterns, "organisms," and behaviors. Blazing Metal Performance: Our custom Metal shader is designed for one thing: speed. Experience fluid, high-FPS simulations without compromising on resolution. Interactive Brush: Don't just watch - create! Paint, draw, and interact with the simulation in real-time. It's a dynamic canvas for digital life. Total Tunability: You're the one in charge. Update Rate: Slow things down to study every change or crank it up for high-speed evolution. Noise Parameters: Introduce random elements and watch the simulation adapt. Simulation Resolution: Run at glorious native resolution or scale it down for different effects. Target FPS: Manually set your target frame rate to balance performance and battery life. Whether you're an artist looking for a new source of inspiration, a student of complex systems, or just looking for a beautiful, interactive toy, NCA Memories is your sandbox. Download now and start creating worlds! Note: The simulation rules in this app are based on the research paper "Exploring the Landscape of Non-Equilibrium Memories with Neural Cellular Automata" by Ehsan Pajouheshgar, Aditya Bhardwaj, Nathaniel Selub, and Ethan Lake (arXiv:2508.15726). This app is an independent implementation inspired by their work. You can explore their original research and interactive demo at: memorynca.github.io/2D/