permutation group vs ARURAKU

This app represents permutation group. You can have some understanding for permutation groups, S3 and D4.

ARURAKU is an educational visualization app that helps you understand algorithms by watching them move, not by reading about them. Sorting, searching, and recursion come alive in animations that advance one step at a time. [ Algorithms ] Sorting (6) - Bubble sort / Selection sort / Insertion sort - Merge sort / Quick sort / Heap sort Race Mode runs two to four algorithms on the same array side by side, so the difference in complexity is obvious at a glance. Searching (4) - Breadth-first search (BFS) / Depth-first search (DFS) - Dijkstra's algorithm / A* Watch how each pathfinder spreads through a grid maze. Tap to edit walls, or generate a new maze. Recursion - Tower of Hanoi (3 to 8 discs) - Fractals: Koch curve, Sierpinski triangle, recursive tree (adjustable depth) [ Features ] - Colors and motion show what is happening: comparisons in orange, swaps in green - Speed control, pause, and step-by-step execution - Array patterns (random / nearly sorted / reversed / many duplicates) and element count - An explanation for every algorithm: how it works, complexity, strengths, weaknesses, and real-world use - No ads while an animation is playing - iPhone and iPad - Available in more than 70 languages (follows your device language) [ Who it's for ] - Students just starting to learn programming - Anyone preparing for IT certification exams - Engineers who want to sharpen their feel for complexity - Anyone who simply enjoys watching things move [ Pricing ] ARURAKU is free. There are no in-app purchases or subscriptions, and every feature is available from the start. To support development, the app shows ads, for example at the bottom of menu screens. Ads are never shown while an algorithm animation is playing. You can choose whether to allow ads based on your interests (personalized ads) at any time from "Ad settings" on the home screen. The first information-systems title of the Raku Series.