攻略 · 专栏Articles & Guides
关于经典小游戏的原创深度文章——数学、历史、博弈论与认知科学。每一篇都由昼夜工坊原创撰写,读完再去玩,体验完全不同。Original, in-depth writing about classic games — the math, the history, the game theory and the cognitive science behind them. Every piece is written in-house. Read first, then play differently.
数学MATH
2048 的数学:最大方块、奇偶性与最优策略The Math of 2048: Biggest Tile, Parity & Optimal Play
为什么 2048 的方块永远是 2 的幂?理论上能合成多大的方块?顶尖 AI 又是如何思考的?Why are all 2048 tiles powers of two? How big can a tile theoretically get? And how do the best AIs actually think?
历史HISTORY
贪吃蛇 45 年简史:从街机到诺基亚再到 .ioA 45-Year History of Snake: From Arcades to Nokia to .io
一条小蛇如何从 1976 年的街机厅,一路爬进数亿部手机,又在 2016 年重生为全球爆款?How one humble worm slithered from a 1976 arcade cabinet into hundreds of millions of phones — and was reborn as a 2016 sensation.
数学MATH
为什么一半的华容道根本无解:奇偶性证明Why Half of All 15-Puzzles Are Impossible
随手把 15 个数字打乱,有一半的概率永远拼不回去。背后是一个优雅的奇偶性定理。Scramble the tiles at random and there is a 50% chance the puzzle can never be solved. The reason is a beautiful parity theorem.
博弈论GAME THEORY
井字棋:一个被人类彻底解决的游戏Tic-Tac-Toe: A Game Humanity Completely Solved
两个完美的玩家对弈井字棋,结果永远是平局。这背后是 minimax 算法与「已解决游戏」的概念。Two perfect players will always draw at Tic-Tac-Toe. Behind that fact lie the minimax algorithm and the idea of a "solved game".
逻辑LOGIC
扫雷的逻辑与概率:高手靠的不是运气The Logic and Probability of Minesweeper
看似拼手气,实则是一道约束满足题。数字推理、1-2-1 花样、何时必须猜,以及它为何是 NP 完全问题。It looks like luck, but it's a constraint problem. Number logic, the 1-2-1 pattern, when you must guess — and why it's NP-complete.
认知科学SCIENCE
翻牌配对游戏,真的能锻炼记忆力吗?Do Memory Match Games Actually Train Your Memory?
从「工作记忆」到「组块化」,看看记忆翻牌游戏背后的认知科学,以及几条真正有用的记忆技巧。From working memory to chunking — the cognitive science behind concentration games, and a few memory tricks that genuinely work.
大脑BRAIN
每天十分钟益智小游戏,大脑会发生什么?What Ten Minutes of Daily Puzzles Does to Your Brain
休闲益智游戏到底是「锻炼大脑」还是只是放松?我们梳理了证据,给出诚实的结论。Are casual puzzles really "brain training", or just relaxation? We weigh the evidence and give an honest answer.
数学MATH
数独的历史与数学:为什么它让全球数亿人着迧?The History and Math of Sudoku: Why Billions Can't Stop Playing
数独并非日本发明。本文讲清真实起源、唯一解的数学保证、三级解题技巧,以及神经科学怎么看这款游戏。Sudoku wasn't invented in Japan. This piece covers the real origin, the math behind a unique solution, three tiers of technique, and what neuroscience says.
经营TYCOON
房东日记:从收租模拟到资本配置Landlord Diary: The Hidden Math of Rent Collection
表面是经营小游戏,骨子里是一道资本配置题。先广后深、边际收益排序、被动收入复利——玩懂了它,你就理解了一半的理财入门课。A landlord sim that is secretly a capital allocation puzzle. Wide-before-deep, marginal returns, and passive-income compounding.
历史HISTORY
网吧模拟器:网吧时代的回忆与经营之道Cyber Cafe Tycoon: The Internet Cafe Through the Generations
2000 年代的中国网吧简史,也是一篇经营模拟的入门指南。从大屁股显示器到连锁帝国,不只是游戏,更是一份数字保存的回忆。A mini-history of China's internet cafe era wrapped in a tycoon sim guide. From CRT monitors to chain empires — and a digital preservation of fading culture.
设计DESIGN
精灵进化:合成进化游戏为什么让人上头Sprite Evolution: The Addictive Formula of Merge Games
从 2048 到合成大西瓜,合成进化类游戏遵循着同一个成瘾公式。正反馈回路、「就差一点」效应、指数难度曲线——理解它,你就理解了一整个品类。From 2048 to Suika Game, all merge games share the same addictive formula. Positive feedback, near-miss effect, exponential difficulty — understand one, understand them all.
科学SCIENCE
恐龙园:当化石遇上克隆乐园Dino Yard: When Fossils Meet Theme Park Dreams
挖掘史前化石、克隆复活、经营主题乐园——恐龙园把古生物学和模拟经营打包在一起。真实恐龙克隆到底可不可能?这篇帮你分清科学和科幻。Dig fossils, clone dinos, run a theme park — Dino Yard packs paleontology and tycoon into one game. Is real dinosaur cloning possible? We separate science from sci-fi.
设计DESIGN
核心勘探:为什么挖矿游戏让人欲罢不能Core Prospector: Why Mining Games Are So Satisfying
从 2003 年的《黄金矿工》到今天的核心勘探,挖矿游戏的魔力从未消退。深度-价值曲线、升级的即时回馈、随机性与控制感的平衡——这个跨越二十年的设计范式依然管用。From Gold Miner in 2003 to Core Prospector today, mining games never lose their magic. Depth-value curves, instant upgrade feedback, and the balance of luck vs skill.
语言学LINGUISTICS
Wordle 热潮背后:猜词游戏的语言学与心理学Behind the Wordle Craze: The Linguistics and Psychology of Word-Guessing Games
最优开局词、信息论视角、英文词汇分布规律——以及为什么这个游戏让全球同步上瘾。The optimal opening word, information theory, English vocabulary distributions — and why this game made the whole world addicted at the same time.