Shapes 3D

Table of Contents

• Solids

  • 3D Pythagorean Theorem
  • Folding Aeroplane (HKCEE 1999 )
  • Coxeter's Kaleidoscopic Cell 1
  • Spherical Lines: Great Circles
  • Parabola Around y-Axis
  • Cube and Tetrahedron
  • cube in dodecahedron

• Symmetry

  • Rotational Symmetry of Cube
  • Rotational Symmetry of Tetrahedron
  • Rotational Symmetry of Octahedron
  • Rotational Symmetry of Icosahedron
  • Rotational Symmetry of Dodecahedron

• Nets

  • Nets of the Cube
  • 11 Nets of the Cube
  • Net of Hexagonal Prism
  • Nets of Tetrahedron
  • Net of Icosahedron
  • Net of Dodecahedron
  • Another Net of Dodecahedron
  • Octahedron and Boat
  • The Quadratic Pyramid

• Sections

  • Exploring Sections of Cubes
  • Sections of Rectangular Prisms (Cuboids)
  • Sections of Triangular Prisms
  • Sections of Rectangular Pyramids
  • Sections of Triangular Pyramids

• Projection

  • projection of a segment
  • opening a door
  • box diagonal
  • Shadow
  • Projection of a Sphere - Central Projection

• Surface

  • Curved Surface Area of Cones (Parametric Curved Surface)
  • Surface Area of Spheres
  • Curved Surface Area of Cones
  • Curved Surface Area of Cones (Combined Version)

• Volume

  • equal cross sections
  • three tetrahedrons
  • tisect a cube
  • opening a cube
  • cutting a sphere
  • section of sphere
  • section of cone
  • Kugelvolumen - Cavalieri
  • Volume of Spheres
  • A sphere in a cylinder.