3Dspace geometry

Daniel Mentrard, Feb 19, 2022


  • 1. The eleven nets of cube
  • 2. Surface area of solids by Pappus theorem
  • 3. Volume of solids by Pappus theorem
  • 4. Fortified castle
  • 5. carton
  • 6. Funny solids for children
  • 7. Gaussian curvature surface
  • 8. Volume of a barrel
  • 9. Tonnage and volume of a boat hold
  • 10. Escher cube
  • 11. Stellation of a truncated octahedron
  • 12. Conics in the cone
  • 13. Possible gears
  • 14. Possible gears?
  • 15. Area of a sphere by decomposition into spherical sectors
  • 16. Daily math (1) : the surface to paint
  • 17. Net of the cone
  • 18. Cube vs Octahedron
  • 19. Icosaehedron vs Dodecahedron
  • 20. Steinmetz solid for cylindres
  • 21. The straight line on the cylinder ??
  • 22. Solids and volumes of revolution (rotation about y_axis)
  • 23. Solides associes
  • 24. Volume of the pyramid explained by the cube
  • 25. Usuals forms and solids : solids in architecture
  • 26. Sphere,cone and cylinder by Cavalieri
  • 27. Proportionality of volumes
  • 28. Conics
  • 29. Mr Bezier's pottery workshop
  • 30. Conics
  • 31. Unit cube and its diagonals
  • 32. Net of the cone (interactive applet)
  • 33. Why are these columns in the conversion tables?
  • 34. Various 3D Surfaces
  • 35. What is the path of a folded/unfolded cube?
  • 36. Same volume for different glass shapes but different heights
  • 37. Volume of a usual container (interactive applet)
  • 38. Truncated pyramids and cones
  • 39. Patterns of a cube(Rotate the view with the mouse)
  • 40. Networks of circles on the torus

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The eleven nets of cube

Challenge: Two patterns are identical. Can you find them? and draw the missing ones
– Daniel Mentrard

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