Excellence in Innovation Award
DINH SON TRAN
Independent Maths Researcher, United Kingdom.
DINH SON TRAN is an independent mathematics researcher based in the United Kingdom whose research interests include Euclidean geometry and classical geometric construction problems. His work addresses geometric methods for constructing figures with prescribed area relationships using traditional geometrical instruments. His research profile includes a 2026 publication examining the doubling of circles, squares and regular triangles using a straightedge and compass. [1]
Abstract
DINH SON TRAN’s research profile is associated with mathematical investigation in Euclidean geometry, particularly classical problems involving geometric constructions and area relationships. His 2026 review article, titled Exact Doubling of Circles, Squares, and Regular Triangles Using Only Straightedge and Compass in Euclidean Geometry, examines constructions intended to produce circles, squares and regular triangles with twice the area of corresponding original figures. The publication appeared in the Scholars Journal of Physics, Mathematics and Statistics, Volume 13, Issue 10, pages 322–330. [1]
Keywords
- Euclidean Geometry
- Geometric Construction
- Straightedge and Compass
- Circle Doubling
Introduction
Euclidean geometry provides a foundational framework for studying spatial relationships, geometrical figures and mathematical constructions. Traditional construction methods involving an unmarked straightedge and compass have played an important role in the historical development of mathematics. Problems concerning the construction of figures with specified dimensions and areas continue to attract mathematical investigation.
Research Profile
DINH SON TRAN is an independent mathematics researcher affiliated with no formally identified university in the supplied profile. Based in the United Kingdom, his documented research focuses on Euclidean geometry and classical construction problems. His publication record includes one reported document addressing area-doubling constructions. His ORCID identifier provides an additional reference for scholarly identity and research attribution. [2]
Research Contributions
The documented contribution of DINH SON TRAN concerns geometric constructions intended to double the areas of circles, squares and regular triangles. His 2026 article presents a distinct approach to these problems using straightedge-and-compass geometry. The subject engages with classical construction questions and their mathematical interpretation. The validity of individual construction claims requires examination of their complete mathematical proofs. [1]
Publications
The documented publication record includes a 2026 review article in the Scholars Journal of Physics, Mathematics and Statistics. The study examines exact doubling constructions for circles, squares and regular triangles using a straightedge and compass in Euclidean geometry. Published on 3 November 2026, it appears in Volume 13, Issue 10, pages 322–330. [1]
Research Impact
The research addresses an established area of mathematical inquiry involving classical geometric construction problems. Its subject matter provides an opportunity to examine relationships between geometrical figures, area transformations and traditional construction instruments. The publication contributes to the documented discussion of these topics in mathematical literature. Independent citation counts, citation impact indicators and broader research adoption have not been supplied and therefore cannot be quantified in this profile.
Award Suitability
DINH SON TRAN’s documented work provides a relevant basis for consideration under the Excellence in Innovation Award category of the Engineering Scientist Awards. His research explores alternative approaches to longstanding geometrical construction questions and demonstrates independent engagement with mathematical problem-solving. The focus on area-doubling constructions using classical geometrical instruments offers a subject-specific contribution for consideration by the award evaluation committee.
Conclusion
DINH SON TRAN is an independent mathematics researcher whose documented work focuses on Euclidean geometry and classical geometric construction problems. His 2026 publication on doubling circles, squares and regular triangles represents his identified contribution to this subject area. Through his exploration of straightedge-and-compass methods, he demonstrates engagement with mathematical problem-solving and geometrical investigation. His research profile provides a relevant foundation for consideration in the Excellence in Innovation Award category of the Engineering Scientist Awards, subject to independent academic evaluation.
External Links
References
- Tran, D. S. (2026). Exact Doubling of Circles, Squares, and Regular Triangles Using Only Straightedge and Compass in Euclidean Geometry. Scholars Journal of Physics, Mathematics and Statistics, 13(10), 322–330. Published November 3, 2026.
https://doi.org/10.36347/sjpms.2026.v13i10.001Article: https://saspublishers.com/article/25091/
- ORCID. (n.d.). DINH SON TRAN – Researcher Identifier and Academic Profile. ORCID.
https://orcid.org/0009-0003-3416-3414