A computational search explored how tall a tower made from a standard set of 54 Jenga blocks could stand when the floor was tilted. The maximum simulated height fell sharply as tilt increased: 331.5 cm at 0.1°, 153 cm at 1°, 84.5 cm at 5°, and 19 cm at 25°. The central trade-off is between height and stability. Upright blocks add the most height, so the tallest low-tilt designs use them heavily; as the tilt grows, designs shift to blocks on edge or laid flat, and sometimes leave blocks unused. The first degree of tilt is especially costly: it reduces the theoretical flat-floor height of 405 cm by 252 cm, while the increase from 1° to 25° costs another 134 cm.
The winning designs concentrate roughly 40% of their blocks in the bottom quarter, creating a broad-enough base and keeping the center of mass low, while narrowing toward the top. Yet a wider base also consumes blocks that could add height. At low tilts, a slender single-block column supplies much of the height, but its length is limited by the point at which it would tip over independently. Small layout changes matter: at 2°, moving just one block produced a tower 7.5 cm taller. The search tested 15 floor angles and progressively stricter conditions, including block-by-block construction, force checks, and tilts in multiple directions. Its results are simulations using idealized blocks and friction; real wooden towers still need to be tested, and the designs may not be optimal.
Summary generated by AI from the linked article. hn.today is not affiliated with Hacker News or Y Combinator.