INTRODUCING ‘REGION GEOMETRY’ IN MATHEMATICS

Ranjit Biswas (Jamia Hamdard University)

Tesseract: International Journal of Geometry and Applied Mathematics
Vol. 4 No. 1 (2026): Tesseract: International Journal of Geometry and Applied Mathematics

In this work, a generalization of the existing classical subject Geometry is done by, introducing a new geometry called by “Region Geometry”. It is observed that the classical subject Geometry is R-Geometry, a special case of the subject “Region Geometry” corresponding to the trivial region R. Every region A generates its own region geometry called by ‘A-Region Geometry’ subject to fulfilment of few conditions. Although this is a purely theoretical work, but this theory is expected to cater to Mathematics and all branches of STEM including AI, Data Science, modern Statistics etc in a new direction.