13 or 14, Halloween surprise

Abstract

We discuss here the history of the rhombocuboctahedron and pseudorombocuboctahedron and describe the structure of their paper models. It turns out that one of them serves as an excellent basis for creating a Jack-o'-lantern. The note is written primarily for school students.

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ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.

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