UD5 Toolkit
Rainy Day Activity Generator – Online Indoor Fun for Kids
Randomly picks an indoor activity from a curated list sorted by age. No materials, no prep ideas included. Banish boredom.
Conway's Game of Life - Online Cellular Automaton Simulator
Conway's Game of Life
Online Cellular Automaton Simulator — Create, explore, and watch life evolve
FastSlow
Gen: 0
Alive: 0
Preset Patterns — Click to load
Glider
LWSS
Pulsar
Glider Gun
Blinker
Toad
Beacon
Pentadecathlon
Acorn
Frequently Asked Questions
What is Conway's Game of Life?
Conway's Game of Life is a cellular automaton devised by British mathematician John Horton Conway in 1970. It's a zero-player game where the evolution of a grid of cells is determined entirely by its initial state. Each cell can be either alive or dead, and the state evolves through discrete time steps based on four simple rules. Despite its simplicity, the Game of Life can produce incredibly complex and beautiful patterns, including structures that can simulate logic gates, making it Turing-complete.
What are the rules of the Game of Life?
There are exactly four rules that govern the Game of Life:
- Underpopulation: Any live cell with fewer than 2 live neighbours dies.
- Survival: Any live cell with 2 or 3 live neighbours lives on to the next generation.
- Overpopulation: Any live cell with more than 3 live neighbours dies.
- Reproduction: Any dead cell with exactly 3 live neighbours becomes a live cell.
What is a Glider in the Game of Life?
A Glider is the smallest and most famous spaceship pattern in the Game of Life. It consists of just 5 live cells and moves diagonally across the grid at a speed of c/4 (one cell every four generations). The glider was discovered in 1970 by Richard Guy and is fundamental to many larger constructions, including the Gosper Glider Gun. It's often used as a signal or messenger in complex Life patterns.
What is the Gosper Glider Gun?
The Gosper Glider Gun, discovered by Bill Gosper in 1970, was the first pattern proven to exhibit infinite growth. It continuously produces a new glider every 30 generations. This discovery was groundbreaking because it demonstrated that the Game of Life could support unbounded computation. The pattern uses about 36×9 cells and is considered one of the most iconic constructions in cellular automaton history.
Is the Game of Life Turing-complete?
Yes. The Game of Life is Turing-complete, meaning it can simulate any computer algorithm given enough space and time. This was proven by constructing patterns that act as logic gates (AND, OR, NOT), memory cells, and signal pathways. In fact, a working universal Turing machine has been built entirely within the Game of Life, demonstrating that this simple cellular automaton is capable of universal computation.
What are oscillators and still lifes?
Still lifes are patterns that do not change from one generation to the next — they remain static indefinitely (e.g., the Block, Beehive, Boat). Oscillators are patterns that cycle through a set of states and return to their original configuration after a fixed period. Examples include the Blinker (period 2), Toad (period 2), Pulsar (period 3), and Pentadecathlon (period 15). These patterns are essential building blocks for more complex Life constructions.
How can I create my own patterns?
Use the Draw mode (blue dot) to click or drag on the grid to place live cells. Switch to Erase mode (red dot) to remove cells. You can start from a blank grid, load a preset pattern as a starting point, or use the Random button to generate a random seed. Press Play to watch your pattern evolve, or use Step to advance one generation at a time. Keyboard shortcuts: Space (play/pause), S (step), R (random), C (clear).
Key Concepts
Cellular Automaton
A discrete model studied in mathematics and computer science, consisting of a regular grid of cells, each in one of a finite number of states. The grid evolves through time steps according to a set of rules based on neighboring cell states.
Emergent Behavior
Complex patterns and behaviors that arise from simple rules, without any central controller. The Game of Life is a prime example — intricate structures like gliders and logic gates emerge from just four basic rules applied locally.
Von Neumann's Automaton
John von Neumann originally conceived of cellular automata in the 1940s as a theoretical model for self-replicating machines. Conway simplified these ideas dramatically, creating the elegant Game of Life we know today.
Daily Sudoku Generator – Online New Puzzle Every Day
A unique Sudoku puzzle generated for today's date. Four difficulty levels. Purely local logic.
Small Pet Playtime Tracker – Online Daily Out‑of‑Cage Log
Log floor time minutes for small pets. See weekly average. Ensure enough exercise. Local storage.
Family Fire Escape Plan – Online Draw & Print Floor Map
Simple grid canvas to sketch your home's layout and mark escape routes and meeting point. Print for practice. Local only.
Reapply Sunscreen Reminder – Online Timer for Outdoor Play
Set interval reminders to reapply sunscreen every 2 hours (or custom) with sound and notification. Protect kids' skin.
Matrix Rain Effect - Online Falling Code Animation
A customisable Matrix‑style digital rain animation. Adjust speed, characters, and colors. Fullscreen mode for ambiance.
Solar Eclipse Simulator - Online Visualize Totality
Drag to see how a solar eclipse occurs. Visualize the moon's shadow. Educational and interactive.
Age Guesser by Name - Online Demographic Fun Tool
Enter a first name and guess the approximate age based on historical popularity data. Purely statistical fun.
Age Calculator - Online Real-Time Age by Date of Birth
Find your exact age in years, months, and days. Calculate the time until your next birthday. All date computations are performed locally and accurately.
Stop Motion Shot Planner – Online Storyboard & Frame Counter
Plan scenes with a simple shot list and track frames taken. Calculate total play time. Local tool.
Scroll Position Monitor - Online Live Scroll Top/Left
See a live readout of window scrollX and scrollY. Visualize scroll direction. For debugging sticky navs.
Periodic Number Table - Online Fun Element‑Number Zoo
Type a word and see which letters can be spelled with atomic symbols (e.g., Co In = CoIn). Fun ciphers.
Density of Everyday Objects – Online Will It Float?
Select common materials (wood, plastic, metals) and see density chart. Predict floating. Fun science.
Chess Board Viewer - Online Setup FEN & Analyze Positions
Set up a chess position using FEN notation or drag pieces. Share the position link or screenshot. No AI, just board.
IBU Calculator for Homebrew – Online Hop Schedule Tool
Enter hop additions with time and alpha acid to estimate International Bitterness Units. Adjust recipe.
Safe Room Size Calculator – Online Occupancy & Ventilation Check
Enter number of people and desired duration to estimate the minimum square footage and ventilation CFM for a residential storm shelter.
Koi Pond Stocking Calculator – Online Gallons per Fish
Enter pond dimensions and filtration type to estimate safe number of adult koi. Prevent overcrowding.
Word Permutation Solver - Online Anagram All Combinations
Enter letters and see every possible word permutation. Filter by dictionary words. Master your word game.
Tree Carbon Sequestration Calculator - Online Environmental Tool
Estimate how much CO2 a tree captures over its lifetime based on species, age, and climate. Learn about your green impact. Educational local tool.
Lightning Distance Calculator - Online Count Thunder to Flash
Tap when you see lightning, tap again when you hear thunder. Calculates how far away the storm is in miles/km. Important outdoor safety tool.
Campfire Cooking Timer – Online Dutch Oven Coal Count
Calculate number of charcoal briquets for Dutch oven cooking temp. Also includes multi-stage cooking time.
Plant Watering Schedule - Online Reminder & Tracker
Add plants and track when you last watered them. Get a simple visual alert when it's time to water. Local storage.
HIIT Interval Timer - Online Custom Work & Rest
Set up high‑intensity intervals with work, rest, and rounds. Audio cues. Sweat without any app. Local only.
Sterilization Timer – Online Boil Water Reminder for Pacifiers
Countdown timer with alerts for boiling pacifiers, bottles, or pump parts. Follow recommended times. Local audio alarm.
Breathing Exercise Timer - Online Inhale Hold Exhale Visual Guide
Animated circle guides your breathing: breathe in, hold, breathe out. Customizable ratios (e.g., 4-7-8). Soothing colors, optional bell sound. Purely local.
Hamster Age Converter - Online Tiny Pet Human Years
See how old your hamster is in human-equivalent years. Fun fact: a 3-month-old hamster is already a young adult. Local only.
Binary Number Explainer - Online Visual Bit Representation
Enter a decimal number and see a visual breakdown of bits, place values, and bitwise operations. Learn binary easily.
Emergency Water Storage Calculator – Online Gallons per Person
Calculate how many gallons of water to store based on household size and days. Preparedness aid.
Swim Pace Calculator - Online 100m / 100yd Time Predictor
Calculate swim pace per 100m or 100yd based on total time and distance. Predict race times. For pool and open water swimmers.
Loan Calculator - Online EMI & Amortization Schedule Generator
Calculate monthly EMIs for any loan type and see the detailed amortization schedule. Compare different interest rates and tenures with instant results.