TISF 2026

數學科 Mathematics

010003分層遞降-Hofstadter和k-Narayana’s cows數列 Hofstadter and k-Narayana’s cows sequences

010005 Triangles with the Same Centers

010007隨機生成數列的長度探討 Keep Drawing a Better Lot

010009 分角曲線之探討 Investigation of Angle-Splitting Curves

010010給定距離二元碼的基數上界 The Maximum Size of Given Distances Set

010012 心動時刻 -動點四心多邊形的性質探討 An Analysis of Polygon Properties involving Incenter, Circumcenter, Orthocenter, and Centroid n gon under a variable point

010015探討二維結的浸入的幾何意義與對其不變量的影響 The Geometric Properties of 2-Knot Immersions and Their Effects on Invariants

010017 旋轉三角形的奇蹟 The Miracle of the Rotational Triangle

010021散步的費波那契問題推廣：最小最大偏移量與最佳移動路徑數研究 Generalizing the Fibonacci Walk：Minimum Maximal Deviation and the Number of Optimal Walking Paths

010023對稱多邊形等面積圓及其延伸 Geometry of Equal-Area Loci for Symmetric Polygons

010024用對偶探討四邊形的角平分線與中垂線的共圓性質 The cocircular properties of the angular bisector and the perpendicular line of the quadrilateral are investigated by duality

010025圓內接倍弧全整數多邊形 Cyclic Ratio-Arc All Integer Polygons

010028 廣義焦點與完全四線形等共軛軌跡之探討 Generalizing foci and isogonal cubics via projective geometry

010035 Properties of Concurrent Circles and Concyclic Points

010036 多邊共舞，四方連心 The Algebra of Shapes: A Bidirectional Translation between Geometric Configurations and Polynomial Roots

010037約瑟夫變換下的有向圖結構探討 A Study on Directed Graph Structures Induced by the Josephus Transformation

010038 k-distatnce in t-SNE Embeddings

010039 病毒復發機率與投藥數期望值之探討 A Study on the Expected Number of Treatments under the Probability of Viral Reinfection

010041 Equation of 避方點陣 Avoiding Squares in Integer Lattices

010042 On the Fault-Tolerant Hamiltonian Cycles and the Cycle Decompositions of Pizza Graphs

011148 Geometric Hyperplane Intersection Solver: An advanced geometric Framework with Quantum-Neuroevolutionary Enhancements

011149 Finding the constant difference in an arithmetic sequence