The Mathematics and Corner Heuristics of 2048: Solving the Monotonic Snake
A mathematical breakdown of probability distributions, state-space constraints, and monotonic snake patterns for achieving high tiles in 2048 Remastered.
Tag: #Mathematics
Browsing 6 article(s) indexed under #Mathematics.
Procedural Map Generation via Cellular Automata: Smoothing Rules and Connectivity Invariants
A procedural architecture teardown of the 4-5 cellular smoothing rule, flood-fill graph decomposition, and tunnel carve-outs for browser roguelikes.
Cubic Bezier Tessellation and Distance Snapping: The Computational Geometry of HTML5 Jigsaw Puzzles
A geometric dissection of parametric interlocking tabs, path clipping masks, and magnetic proximity snapping in web puzzle games.
Adversarial Search Trees on the Web: Implementing Minimax with Alpha-Beta Pruning and Transposition Tables
A complete algorithmic guide to discrete adversarial game trees, branch pruning inequalities, Zobrist hashing, and Web Worker thread offloading.
2D Dynamic Visibility Polygons: Raycasting Field-of-View and Shadow Caster Triangulation in Web Games
An algorithmic teardown of line-segment intersection sweeps, radial angle sorting, and dynamic line-of-sight lighting in 2D browser stealth games.
Solving Combinatorial Constraint Puzzles: Knuth Algorithm X and Dancing Links in JavaScript
A computational dive into exact cover matrix reduction, circular doubly-linked lists (DLX), and sub-millisecond Sudoku generation on the web.