Geometric Modeling Research Group

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
ค่ายสัมมนาหัวข้อวิจัยทางเรขาคณิต เรขาคณิตวิยุต และเรขาคณิตเชิงคำนวณ
วันที่ 17 – 21 มิถุนายน 2562

Geometry Research Boot Camp (since 2019)

(ค่ายสัมมนาหัวข้อวิจัยทางเรขาคณิต เรขาคณิตวิยุต และเรขาคณิตเชิงคำนวณ)
The geometry research boot camp is a research camp for geometers in Thailand for gathering the idea to do interesting collaborative research. The topic is included but is not limited to geometry, discrete and computational geometry, and computational issues for solving geometry problems.

Current Connections: CU (Wacharin, Kirati, Teeradej), CMU (Supanut, Piyashat), PSU (Panupong), MU (Chatchawan)

The 1st Geometry Research Boot Camp, 17 – 21 June 2019
ณ ศูนย์การศึกษามหาวิทยาลัยเชียงใหม่ “หริภุญชัย”
The 2nd Geometry Research Boot Camp (Online by Zoom): 1 – 5 June 2020
The 3rd Geometry Research Boot Camp (Online by Zoom): 14 – 16 June 2021
The 4th Geometry Research Boot Camp (Online by Zoom): 20 – 22 July 2022
The 5th Geometry Research Boot Camp: (upcoming activities)
- Expected to be: 28 July – 2 August 2023
- Expected location: 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
The volume of a solid from the sequences figures taken by CT scan
Geometrical Analysis for the Thai Northern Lantern (Kome)
Geometrical Analysis of Chiang Mai’s Spatial Data

Research Achievements with Students in the Research Group

Reviewed Proceeding (International Conference)
1. C. Sawatdithep and S. Chaidee (2023). Recognition of Archimedean Spiral Voronoi Diagrams from Linear Parastichies. L.-Y. Cheng (Ed.): ICGG 2022, LNDECT 146, pp. 441–453, Springer, 2023. [DOI:10.1007/978-3-031-13588-0_38]
Reviewed Proceeding (Domestic Conference)
1. W. Chaipunya and S. Chaidee. Development of the Mastery Learning Self-study Package on Geometry for Upper Secondary Students by Comparing Classical and Analytical Geometry Concepts. In Proc. of the Thailand 26th Annual Meeting in Mathematics (2022), 397-411. (in Thai language)
Book of Abstracts (International Conference)
1. S. Chaidee, P. Homsombat and P. Jaima. A Family of Convex Polyhedra Generated by Regular Polylinks. In Proc. of The 24th Japan Conference on Discrete and Computational Geometry, Graphs, and Games (JCDCGGG 2022), pages 21-22, 2022. Here
2. N. Rintaew and S. Chaidee. The Conditions for Fitting a Square in a Trapezoid , In Proc. of The 23rd Thailand-Japan Conference on Discrete and Computational Geometry, Graphs, and Games (TJCDCGGG 2020+1), pages 90-91, 2021. Here

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)