2017/03/08 by Richard Jerrard, John E. Wetzel, Liping Yuan · 1 voice · 2 citations
Computer Science · Engineering · #Modular Robots and Swarm Intelligence #Robotic Path Planning Algorithms #Robotics and Sensor-Based Localization
paper · doi:10.4169/math.mag.90.2.87
openalex publication_date 2017/03/08 · openalex created_date 2022/05/12 · openalex updated_date 2026/06/11
SummaryIt is well known that a hole can be cut in a cube large enough to permit a second cube of equal size to pass through, a result attributed to Prince Rupert of the Rhine by J. Wallis more than three centuries ago. C. Scriba showed nearly 50 years ago that the tetrahedron and the octahedron have this same property. Somewhat surprisingly, the remaining two platonic solids, the dodecahedron and the icosahedron, also have this property: each can be passed through a suitable tunnel in another of the same size and kind. We supply the details.