Chapter  1  Introduction  to  Three-Dimensional  Modeling  3  Copyright  Goodheart-Willcox  Co.,  Inc.  Right-Hand  Rule  of  3D  Drawing  Right-Hand  Rule  of  3D  Drawing  In  order  to  effectively  draw  in  3D,  you  must  be  able  to  visualize  objects  in  3D  space.  The  right-hand  rule  is  a  simple  method  for  visualizing  the  3D  coordinate  system.  It  is  a  representation  of  the  positive  coordinate  values  in  the  three  axis  directions.  The  AutoCAD  world  coordinate  system  (WCS)  and  a  user  coordinate  system  (UCS)  are  based  on  this  concept  of  visualization.  To  use  the  right-hand  rule,  position  the  thumb,  index  fi  nger,  and  middle  fi  nger  of  your  right  hand  as  shown  in  Figure  1-3.  Imagine  that  your  thumb  is  the  X  axis,  your  index  fi  nger  is  the  Y  axis,  and  your  middle  fi  nger  is  the  Z  axis.  Hold  your  hand  in  front  of  you  so  that  your  middle  fi  nger  is  pointing  directly  at  you,  as  shown  in  Figure  1-3.  This  is  the  plan  view  of  the  XY  plane.  The  positive  X  axis  is  pointing  to  the  right  and  the  positive  Y  axis  is  pointing  up.  The  positive  Z  axis  comes  toward  you  and  the  origin  of  this  system  is  the  palm  of  your  hand.  The  concept  behind  the  right-hand  rule  can  be  visualized  even  better  if  you  are  sitting  at  a  computer  and  the  AutoCAD  drawing  window  is  displayed.  Make  sure  the  current  drawing  is  based  on  the  acad.dwt  template.  If  the  UCS  icon  is  not  displayed  in  the  lower-left  corner  of  the  screen,  turn  it  on  by  using  the  UCSICON  command,  or  Figure  1-2.  A—The  points  making  up  a  2D  object  require  only  two  coordinates.  B—Each  point  of  a  3D  object  must  have  an  X,  Y,  and  Z  value.  Notice  that  the  first  two  coordinates  (X  and  Y)  are  the  same  for  each  endpoint  of  a  vertical  line.  A  B  0,4  6,4  0,4,1  6,4,1  6,4,0  6,2,0  4,2,0  4,0,0  2,0,0  0,0,0  2,0,1  4,0,1  0,2,0  0,2,1  2,2,1  4,2,1  6,2,1  6,2  4,2  2,2  0,2  0,0  2,0  4,0  X  Y  Z  Figure  1-3.  Positioning  your  hand  to  use  the  right-hand  rule  to  understand  the  relationship  of  the  X,  Y,  and  Z  axes.  UCSICON  Ribbon  View  Viewport  Tools  UCS  Icon  Type  UCSICON