AbstractEnglish lacks a concise term for the general operation of extending an arbitrary three-dimensional object into the fourth spatial dimension. I propose the neologism “quadroject” to fill this lexical gap and provide definitions for both verb and noun forms. 1. DefinitionVerb: To quadroject is to extrude or extend a three-dimensional object into the fourth spatial dimension.Example: To quadroject a cube yields a tesseract. Noun: A quadroject is the four-dimensional object resulting from the extrusion of a three-dimensional object into 4D.Example: The quadroject of a sphere is a glome, also known as a 3-sphere. 2. EtymologyFrom Latin quadro- (“four”) + English project (“to throw forward”). Coined in 2026 by Nicolas David Malone.3. Usage and DistinctionThe term distinguishes the general 4D extrusion operation from the specific case “tesseract,” which refers only to the 4D hypercube. This parallels how “polygon” is general while “square” is specific. The term is intended for use in mathematics education, science communication, and speculative physics. 4. Date of Coinage24 May 2026 License: Creative Commons Attribution International
Nicolas David Malone (Sun,) studied this question.