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The Bolt Twiddling Puzzle: A Mathematical Solution to a Gardner Classic

2025-03-07

This blog post tackles a classic mathematical puzzle posed by Martin Gardner in 1958: Two identical bolts intermesh; if you twiddle them like thumbs, do the bolt heads move closer, farther apart, or remain at the same distance? The author provides a detailed geometric analysis explaining why the bolt heads maintain the same distance, refuting Gardner's less intuitive escalator analogy. The post includes diagrams of thread standards and the author's own 3D bolt illustrations for better understanding.

Unraveling the Mystery of the Antikythera Mechanism: A 254:19 Cosmic Code

2024-12-15

Discovered in the first century BCE, the Antikythera mechanism is a complex astronomical device capable of tracking the movements of the sun, moon, and planets. Its intricate gear system is astonishing. This article delves into a specific 254:19 gear ratio within the mechanism, revealing it's not arbitrary but a clever reflection of the sun and moon's movements over a 19-year Metonic cycle, demonstrating the remarkable understanding of astronomy possessed by ancient Greeks. The article corrects previous misunderstandings about the Saros and Metonic cycles and explains the mathematical principles behind this gear ratio, unveiling the profound insight of ancient Greeks into celestial mechanics.