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All Journal Tesseract: International Journal of Geometry and Applied Mathematics
Ranjit Biswas
Jamia Hamdard University
Mathematics Social Sciences

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INTRODUCING ‘REGION GEOMETRY’ IN MATHEMATICS Ranjit Biswas
Tesseract: International Journal of Geometry and Applied Mathematics Vol. 4 No. 1 (2026): Tesseract: International Journal of Geometry and Applied Mathematics
Publisher : Nindikayla Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.57254/tess.v4i1.50

Abstract

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.
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