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Description
Langton’s Ant is a cellular automaton that models an ant moving on a grid of cells following some very basic rules.
At the start of the simulation, the ant is randomly positioned on a 2D-grid of white cells. The ant is also given a direction (either facing up, down, left or right).
The ant then moves according to the colour of the cell it is currently sitting in, with the following rules:
1.If the cell is white, it changes to black and the ant turns right 90°.
2.If the cell is black, it changes to white and the ant turns left 90°.
3.The ant then moves forward to the next cell, and repeat from step 1.
These simple rules lead to complex behaviours. Three distinct modes of behaviour are apparent, when starting on a completely white grid:
- Simplicity: During the first few hundred moves it creates very simple patterns which are often symmetric.
- Chaos: After a few hundred moves, a big, irregular pattern of black and white squares appears. The ant traces a pseudo-random path until around 10,000 steps.
- Emergent order: Finally the ant starts building a recurrent “highway” pattern of 104 steps that repeats indefinitely.
All finite initial configurations tested eventually converge to the same repetitive pattern, suggesting that the “highway” is an attractor of Langton’s ant, but no one has been able to prove that this is true for all such initial configurations.
What's New in Version 0.1.2
Bug fixed and performance improvements
Seller
Name
Ruifeng Yu
Information
Developer
Categories
Version
0.1.2
Size
49.5 MB
Game Center
No
VPP Device Licensing
Yes
Rating
Rated: 4+
Compatibility
iOS 8.0 or later
Devices
iPhone 4S, iPhone 5, iPhone 5c, iPhone 5s, iPhone 6, iPhone 6 Plus, iPhone 6s, iPhone 6s Plus, iPhone SE, iPhone 7, iPhone 7 Plus, iPhone 8, iPhone 8 Plus, iPhone X, iPhone XR, iPhone XS, iPhone XS Max, iPhone 11, iPhone 11 Pro, iPhone 11 Pro Max, iPhone SE (2nd generation), iPhone 12, iPhone 12 Pro, iPhone 12 Pro Max, iPhone 12 mini, iPad 2 (Wi-Fi), iPad 2 (3G), iPad (3rd Generation) (Wi-Fi), iPad (3rd Generation) (4G), iPad (4th Generation) (Wi-Fi), iPad (4th Generation) (4G), iPad (5th Generation) Wi-Fi, iPad (5th Generation) Wi-Fi + Cellular, iPad (6th generation) Wi-Fi, iPad (6th generation) Wi-Fi + Cellular, iPad Pro, iPad Pro (Cellular), iPad Pro (9.7-inch), iPad Pro (9.7-inch) (Cellular), iPad Pro 12.9-inch (2nd generation), iPad Pro 12.9-inch (2nd generation) Wi-Fi + Cellular, iPad Pro (10.5-inch), iPad Pro (10.5-inch) Wi-Fi + Cellular, iPad Pro (11-inch), iPad Pro (11-inch) Wi-Fi + Cellular, iPad Pro 12.9-inch (3rd generation), iPad Pro 12.9-inch (3rd generation) Wi-Fi + Cellular, iPad Air, iPad Air (Cellular), iPad Air 2, iPad Air 2 (Cellular), iPad Air (3rd generation), iPad Air (3rd generation) Wi-Fi + Cellular, iPad mini (Wi-Fi), iPad mini (4G), iPad mini Retina, iPad mini Retina (Cellular), iPad mini 3, iPad mini 3 (Cellular), iPad mini 4, iPad mini 4 (Cellular), iPad mini (5th Generation), iPad mini (5th Generation) Wi-Fi + Cellular, iPad (7th generation) Wi-Fi + Cellular, iPad Pro 11-inch (2nd generation), iPad Pro 11-inch (2nd generation) Wi-Fi + Cellular, iPad Pro 12.9-inch (4th generation), iPad Pro 12.9-inch (4th generation) Wi-Fi + Cellular, iPad Air (4th Generation) (Wi-Fi), iPad Air (4th Generation) (Wi-Fi + Cellular), iPad (8th generation) Wi-Fi, iPad (8th generation) Wi-Fi + Cellular, iPod touch (5th generation), iPod touch (6th Generation), iPod touch (7th generation), Apple Watch Series 4, Apple Watch Series 5, Apple Watch Series 6 (GPS), Apple Watch Series 6 (GPS + Cellular), Apple Watch Series SE (GPS), Apple Watch Series SE (GPS + Cellular)
Languages
English, Chinese
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