The objective of the research
We aim to understand the real-world phenomena using geometrical tools, emphasizing tools in discrete and computational geometry. In the group, we formulate the real-world problem into geometry problems and solve those problems using geometrical tools. We also solve discrete geometry problems and construct geometric tools to solve real-world problems.
News
- The 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG2020+1) will be held at Chiang Mai University on 3 – 5 September 2021.
การประชุมวิชาการไทย-ญี่ปุ่น ด้านเรขาคณิตวิยุต เรขาคณิตเชิงคำนวณ ทฤษฎีกราฟ และเกม ครั้งที่ 23 จะจัดขึ้น ณ ภาควิชาคณิตศาสตร์ คณะวิทยาศาสตร์ มหาวิทยาลัยเชียงใหม่
วันที่ 3 – 5 กันยายน 2564 - The 1st Geometry Research Boot Camp, 17 – 21 June 2019
ค่ายสัมมนาหัวข้อวิจัยทางเรขาคณิต เรขาคณิตวิยุต และเรขาคณิตเชิงคำนวณ
วันที่ 17 – 21 มิถุนายน 2562 ณ ศูนย์การศึกษามหาวิทยาลัยเชียงใหม่ “หริภุญชัย”
Current research projects
- Centroidal spherical Laguerre Voronoi diagram for understanding and modeling spherical tessellation patterns
- Geometrical analysis of the crane game in two dimensions
- Volume of a solid from the sequences figures taken by CT scan
Research Achievements Research
Projects and seminars for students Projects and Seminars
Current Students (U – undergraduate student, M – master’s degree student)
- M-ID62 (Teaching Math) – Wuttichai Chaipanya : Development of the Mastery Learning Self-study Package on Geometry for Upper Secondary Students by Comparing Classical and Analytical Geometry Concepts
- M-ID63 (Applied Math) – Chanikan Sawatdithep : Recognition of spiral patterns from Voronoi diagrams
- U-ID62 – Phapaengmueng Sukkasem (390: Silos, Snow Cones, Railroad Spikes, and Spherical Coordinates)
- U-ID62 – Pattaradanai Jaima (390: A General Method for Establishing Geometric Inequalities in a Triangle)
- U-ID63 – Ponpailin Homsombut (Summer Project: Polyhedra from Regular Polygons)
- U-ID63 – Peerawit Suriya (Summer Project: Analysis of Chiang Mai’s Spatial Data)
Alumni
AY2021
- U-ID57 – (Joint) Wattanachai Kaewsom (499: The Determination of Lissajous Node Points Using Geometric and Algebraic Method)
- U-ID61 – Kanokwan Kanta (499: Investigation on the Characteristics of Durian Leaves for Robust Approximation of Area)
AY2020
- U-ID60 – Netipong Saensri (499: Intersection problem of spherical figures)
- U-ID60 – Anawut Suriyamanee (499: Computational geometry model for visualizing and predicting climate data)
AY2019
- U-ID59 – Nattapon Rintaew (390: Rectangles in Rectangle, 499: Squares in Trapezoid)
- U-ID59 – Thanapoom Keelapang (390: Squares in Triangle, 499: Convex Composition of Lucky Puzzle)
- SIS ID60 – Chanakan Sapphalikhit, Sasikarn Tawanseri (Project: Geometrical analysis of firework origami folding processes)
- DPST#35 – Raksit Kawemaroeng (Project: Tetrahedron packing in the cube)
AY2018
- U-ID58 – Kotchakorn Kantanat (499: Design of shortest travel route using network Voronoi diagram)
- U-ID58 – Kanokporn Chuenchom (499: Enumeration on the rigidity of m x n rectangular grids)
AY2017
- U-ID57 – Phitchaya Wong-arin (499: Origami Axioms for Solving Euclidean Geometry Problems)
- U-ID57 – Sookruethai Kamkaen (499: 2D Tessellations and Their Construction Conditions)
Collaborations and research connections
- Prof. Kokichi Sugihara, Meiji University, Japan
- Prof. Takashi Yoshino, Toyo University, Japan
- Assistant Prof. Vorapong Suppakitpaisan, The University of Tokyo, Japan
- Dr. Chao Yang, Guangdong University of Foreign Studies, China
- Shuto Nishida, Tokyo University of Science, Japan
- Associate Prof. Wacharin Wichiramala, Chulalongkorn University, Thailand
- Dr. Kirati Sriamorn, Chulalongkorn University, Thailand
- Dr. Sira Srisawasdi, Chulalongkorn University, Thailand
- Dr. Atthaphon Ariyarit, Suranaree University of Technology, Thailand
Research Group Photo