DATARAKU vs Math Anything

An educational visualization app that lets you UNDERSTAND data structures by watching them - not by reading. Abstract concepts like stacks, queues, trees, and hash tables come alive as animations where the structure itself deforms in response to your operations. [ Basics - 4 structures ] - Stack (LIFO) - Feel "last in, first out" through stacking motion - Queue (FIFO) - Watch the entry and exit ends of a queue - Array - Visualize random access and the shifting of elements on insert / delete - Linked List - Nodes connected by arrows, rewired on insert and delete [ Advanced - 4 structures ] - Binary Search Tree - Values drop into place after branching left or right by comparison - Heap - Up-heap and down-heap motion in a complete binary tree - Hash Table - Keys travel through a hash function and land in a bucket - Graph - Nodes and edges showing adjacency [ Features ] - Every operation animates as a continuous deformation (no instant teleporting) - Operation log to review the meaning of each step - Each structure includes complexity notes (access / search / insert / delete), pros and cons, and real-world usage examples - Ads are never shown while an animation is playing - designed to preserve focus - Universal app for iPhone and iPad - Japanese and English (follows OS language) [ Who is this for ] - Students learning programming for the first time - Anyone preparing for IT exams - Engineers who want to re-grasp data structures visually - Curious minds who love watching things move [ Companion to ARURAKU ] The second information-systems title of the Raku Series, sibling to ARURAKU (algorithm visualization). The two apps cross-link, so the heap screen here links to ARURAKU's heap sort, and the graph screen here links to ARURAKU's BFS / DFS. Learn the "motion of computation" and the "structures that carry it" side by side. [ Note on pricing ] This app is completely free with no in-app purchases or subscriptions. To support development and maintenance we display Google AdMob banner and interstitial advertising. Ads are never shown while an animation is playing.

A classical math instrument museum. Open the Fourier paper-tape wing or the Calculus Intuition wing. Crank wheels, stack motors, drag tip-to-tail phasors, multiply waves, peel net area, then draw in the free heart studio. Calculus side hall: onion ring, square expansion, gears chain rule. No chat bubbles. Paper, walnut, brass. Follows system language (Chinese / English). Heart studio is free. Optional one-time unlock for square, star, and figure-8 outlines.