
doi: 10.5281/zenodo.18613327 , 10.5281/zenodo.18611867 , 10.5281/zenodo.18672021 , 10.5281/zenodo.18610887 , 10.5281/zenodo.18617069 , 10.5281/zenodo.18686341 , 10.5281/zenodo.18617392 , 10.5281/zenodo.18636096 , 10.5281/zenodo.18617070 , 10.5281/zenodo.18613328 , 10.5281/zenodo.18648197 , 10.5281/zenodo.18671956 , 10.5281/zenodo.18611868
doi: 10.5281/zenodo.18613327 , 10.5281/zenodo.18611867 , 10.5281/zenodo.18672021 , 10.5281/zenodo.18610887 , 10.5281/zenodo.18617069 , 10.5281/zenodo.18686341 , 10.5281/zenodo.18617392 , 10.5281/zenodo.18636096 , 10.5281/zenodo.18617070 , 10.5281/zenodo.18613328 , 10.5281/zenodo.18648197 , 10.5281/zenodo.18671956 , 10.5281/zenodo.18611868
■ Start with the file: 00_READ_FIRST_Sangbun_Vector_Geometry_v1.1_MAIN.pdf All figures correspond to the construction steps described in the main pape ● This work introduces Sangbun Vector Geometry (Sangbunhak), a geometric framework in which vectors are generated through chained geometric constructions at a single point on a line or curve. Unlike classical vector theory, which defines vectors as coordinate displacement, this framework defines a vector as an emergent result of accumulated geometric operations including tangent construction, normal projection, circular relations, rotational transformation, and vector composition. The method reveals a dual-structure vector system combining linear geometric components (tangent–projection structure) and rotational geometric components (circle–rotation structure). The construction is stepwise and diagram-driven, allowing intuitive geometric interpretation of vector formation. This upload presents the foundational theory and construction principles.
Geometry Vector geometry Geometric construction Sangbun vector Mathematical framework
Geometry Vector geometry Geometric construction Sangbun vector Mathematical framework
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