Table of Contents

1. Construction Tasks
   1. Equilateral Triangles and Regular Hexagons Inscribed in Circles
   2. Tessellation
   3. polygon ring
   4. Rotating and Dilating Squares
   5. Constructing Loci
2. 3D Constructions and Explorations
   1. Cross-Sections of the Cube
   2. Rotational Symmetry of Cubes
   3. Other Net of Tetrahedron
   4. Unwrapping a Cylinder Cut by An Oblique Plane (Answer)
   5. Movable Dandelin spheres
3. Inquiry and Problem Solving
   1. Inquiry Task (Elementary)
   2. Inquiry Task (Intermediate)
   3. Triangle on Parallel Lines
4. Algebraic Thinking and Coding
   1. Curve Stitching
5. Tessellation 密鋪平面
   1. Tessellation
   2. Tessellation
   3. Daisy Tessellation
   4. Triangle Tessellation
   5. Hexagon Tessellation
   6. Kite Tessellation
   7. Cat Tiling
   8. Islamic Tessellation on Octagons and Squares
   9. Qarawiyyin Mosque
   10. Qarawiyyin Tiling (generalized)
6. Transformations 變換
   1. Rotation of Regular Polygons
   2. polygon ring
   3. Equiangular Spiral on Nautilus Shell
   4. Spirals in a Square
   5. combining spirals
   6. Dilations of a star
   7. Spiral from polygons
   8. math and art 1
   9. maths and art2
   10. Maths and art 3
   11. Maths and art4
   12. Maths and art5
   13. Sine Wave Rotating Triangle
   14. converging color spirals
   15. Spiral Square
7. Applications in Physics 物理學的應用
   1. Projectile
   2. Parabolas
   3. Relative Velocity: Boat Crossing a River
   4. Lens Simulation for iPad
   5. 2D Image Formation by Lenses
   6. iPad Spherical Mirror Simulation
   7. Dispersion of Light
   8. The Doppler Effect with Sound
   9. Double Slit Interference
   10. Wave interference
   11. Combination Electric Circuit with Four Identical Bulbs
8. Applications in Chemistry 化學科的應用
   1. Models of the water molecule
   2. Models of the methane molecule
   3. Models of the ethyl spirit molecule
   4. Models of the benzene molecule