GeoGebra3D Documentation

This document describes the current features of the GeoGebra 3D beta version.

GUI

• Moving objects
  • left-drag points in the 3D view. Click on the point to change the mode "along xOy plane" to "along z axis", and so on.
• Translation of the scene
  • shift+left-drag the 3D view (without pointing on a moveable object)
  • use move view tool
• Rotation of the scene
  • right-drag the 3D view (without pointing on a moveable object)
  • continue rotation when mouse released
  • view in front of an object (toolbar)
• zoom
  • use wheel mouse
  • use zoom tool
• guidlines
  • show/hide axes, grid, xOy plane

Commands

• Points and vectors
  • A=(1,5,3) creates the 3D point of coordinates x=1, y=5, z=3
  • u=(1,5,3) creates the 3D vector of coordinates x=1, y=5, z=3
  • Vector[A,B], A+3*B, A+u, (A+B)/2, etc. works the same as in 2D
• Lines
  • Line[A,B], Segment[A,B], etc. same as in 2D
• Circles
  • Circle[A,B,C] creates the circle through the 3D points A, B, C
• Curves
  • Curve[cos(3 t), sin(4 t), sin(7 t), t, 0, 2*Pi] creates the 3D curve t->( cos(3 t), sin(4 t), sin(7 t) ) with t in [0, 2*Pi]
• Planes
  • Plane[A,B,C] creates the plane through the 3D points A, B, C
  • Plane[A,l] creates the plane through the 3D point A and the 3D line l
  • Plane[A,p] creates the plane through the 3D point A and parallel to the plane p
  • PerpendicularPlane[A,l] creates the plane through the 3D point A and perpendicular to the 3D line l
• Spheres
  • Sphere[A,r] creates a sphere with center A and radius r
  • Sphere[A,B] creates a sphere with center A and through point B
• Polyhedrons
  • Pyramid[A1,A2,...,An] : pyramid with base (A1,...,A(n-1)) and apex An
  • Prism[A1,A2,...,An,B1] : prism with base (A1,...,An) and (B1,...,Bn), where B2, ..., Bn are the translation of A2, ..., An, as B1 is from A1.
• Surfaces
  • f(x,y)=x*y draws the surface (x,y)->(x,y,x*y)
  • Function[u*v,u,-1,1,v,-2,2] draws the surface (u,v)->(u,v,u*v) with u in [-1,1] and v in [-2,2]