第2部 · Lineage — Where Puzzles Came From
第3章
Puzzles of Paper and Wood
11篇
From the 15 Puzzle to Rubik's Cube. Pre-digital objects had already invented today's verbs: arrange, rotate, fit, transfer.
本章文章
- 1.The Birth of the Jigsaw Puzzle (1760s) — The Man Who Cut Up Maps, and a Verb Unchanged for 260 Years2026-07-07 · Toki · 约6分钟
In 1760s London, the map engraver John Spilsbury mounted printed maps on wood and cut them apart along national borders, selling them as 'Dissected Maps' — the commercial starting point of what would later be called the jigsaw puzzle. This essay revisits the context in which the format was born as a tool for teaching geography, the structural insight that where you cut is itself the design, and the lineage that runs from Depression-era die-cut cardboard to the 2021 VR title Puzzling Places — a format that survived 260 years without ever changing its verb.
- 2.Tangram (Qi Qiao Ban) — Around 1810, Seven Pieces of Lies and Truth2026-07-12 · Toki · 约6分钟
Seven shapes, five triangles, one square, one parallelogram, enough to form countless silhouettes. The tangram's origin lies in late-18th-century China, but its history was long distorted by a fabricated chronicle puzzle maker Sam Loyd wrote in 1903. I dig up both the toy's true voyage and the fiction that obscured it.
- 3.15数字推盘（1880） — 萨姆·劳埃德骗倒世界的那一步无解棋局2026-06-16 · Toki · 约7分钟
1880年初，「15数字推盘」的狂潮席卷美国与欧洲。然而被世人奉为发明者的萨姆·劳埃德，实为在狂潮消退十六年后才冒领功劳的冒充者。本文追溯这个木盒的真实来源，以及劳埃德以悬赏为名的「14与15对调的盘面」在数学上绝对无解的1879年证明，并从历史角度重读滑块拼图留给现代数字谜题设计的遗产：「可解性的保证」。
- 4.河内塔（1883）—— 留下递归遗产、永无终结的64枚圆盘2026-06-29 · Toki · 约6分钟
1883年，法国数学家Édouard Lucas以「N. Claus (de Siam)」为笔名推出了一款木制玩具。三根柱子，大小各异的圆盘，仅有两条规则。然而其朴素外表之下，蕴含着移动n枚圆盘至少需要2ⁿ−1步的递归数学。本文从历史视角重新审视这款玩具的真正起源、贝纳勒斯关于64枚圆盘完成时世界将终结的虚构传说，以及「递归」与「状态空间」的思想为后世计算机科学与现代谜题所留下的遗产。
- 5.Henry Dudeney (1907) — Four Hinged Pieces That Turn a Triangle Into a Square2026-07-08 · Toki · 约5分钟
In 1907, English puzzle maker Henry Dudeney published, within The Canterbury Puzzles, the Haberdasher's Puzzle: cutting an equilateral triangle into just four pieces that reform into a square. Hinged together, the pieces could transform with a single fold, and the dissection drew attention in its day -- yet the proof that four pieces were truly minimal remained unresolved for a surprisingly long time, settled only by a 2024 computational-geometry paper. Tracing Dudeney's rivalry with Sam Loyd and his rediscovery through Martin Gardner, this piece rereads how a paper puzzle took 117 years to reach computer science.
- 6.纵横字谜（1913）—— 从阿瑟·温的菱形开始的格子谱系2026-06-30 · Toki · 约6分钟
1913年12月21日，阿瑟·温的"Word-Cross"印刷于《纽约世界报》娱乐副刊。这一游戏因排版误植而被称为"纵横字谜"，1924年西蒙与舒斯特出版社的书籍令其广泛传播，1930年《泰晤士报》、1942年《纽约时报》使之走向全球。本文追溯格子、交叉与线索这三项发明，如何作为思考型解谜的设计语汇，从纸上方格延续至尼科利的铅笔谜题与现代数字作品。
- 7.Hakoiri Musume / Klotski (1930s) — The Lineage of Blocks That Trapped Cao Cao2026-08-19 · Toki · 约6分钟
In the West as a patent drawing, in China as a paper cutout re-enacting Cao Cao's defeat, and in Japan as a wooden toy called Hakoiri Musume — nearly the same sliding-block puzzle arose independently in three places between the 1890s and the 1930s, with no evidence any referenced the others. Martin Gardner published its 81-move optimal solution in Scientific American in 1964; Microsoft's Windows Entertainment Pack carried it to PCs worldwide in 1991. This is the record of that parallel evolution, up to 2021's Blockee on Steam, which names Klotski as its inspiration in its own words.
- 8.Soma Cube (1933) — Twenty-Seven Fragments Born in a Quantum Mechanics Lecture2026-08-02 · Toki · 约6分钟
In 1933, half-listening to a lecture on quantum mechanics in Copenhagen, Piet Hein enumerated every non-convex fragment that could be made by joining four or fewer unit cubes by their faces, and produced the seven-piece, 27-cube Soma cube. Popularized worldwide by Martin Gardner's 1958 column and commercialized by Parker Brothers in 1969, its 240 solutions were later hand-solved by John Conway and Michael Guy, and its debt is acknowledged by none other than Rubik's Cube inventor Erno Rubik. This piece traces ninety years of a solid-dissection puzzle lineage.
- 9.五格骨牌（1965）——Solomon W. Golomb 命名的五方块图形，如何演变为 Tetris2026-07-29 · Toki · 约8分钟
1965年，美国数学家 Solomon W. Golomb 在其著作《Polyominoes》中，将由五个正方形连接而成的十二种图形「五格骨牌（pentomino）」的理论整理成书。这一命名可追溯到1953年哈佛大学的一次演讲，1957年经由 Martin Gardner 的专栏传到普通读者手中，1975年又发行了俄语译本。到了1984年，莫斯科的青年 Alexey Pajitnov 凭借童年时对五格骨牌的记忆，在一台实验用计算机上移动图形，Tetris 由此诞生。本文追溯这一五方块图形耗时三十余年环游世界的历程。
- 10.魔方（1974）——43京种配置的迷宫，与唯一一个解2026-06-25 · Toki · 约7分钟
1974年，布达佩斯的建筑师厄尔诺·鲁比克为教学目的削出了一个小小的立方体，这个物体最终将拥有43京种配置、唯一一个完成形的"状态空间"握于掌心。本文通过一次和二次文献，追溯这一玩具的确切出处——1974年的发明、1980年的全球登场，以及2010年证明的"神之数=20"——并作为历史重新解读：这个没有显示屏、没有电源的物体，是如何在半世纪前便以实物体现了现代解谜设计者口中的"可逆性""唯一解""待探索的空间"等语汇的。
- 11.花山 Cast Puzzle（1983）——Nob Yoshigahara 连结金属拼图与数字密室游戏的谱系2026-07-19 · Toki · 约9分钟
1983年，日本玩具制造商花山（Hanayama）推出了金属分解拼图系列「Cast Puzzle」。负责监修的拼图设计师 Nob Yoshigahara（1936-2004）之手，无意间将这段无文字的金属拼图经验，与1996年的滑块拼图《Rush Hour》，以及2012年问世、后登陆Steam的密室拼图《The Room》连接了起来。本文追溯这条历经40年仍未完全解开的谱系。