131  Copyright  Goodheart-Willcox  Co.,  Inc.  Learning  Objectives  After  completing  this  chapter,  you  will  be  able  to:  ✓  Create  solids  and  surfaces  by  extruding  profi  les.  ✓  Extrude  regions.  ✓  Extrude  surfaces.  ✓  Create  symmetrical  3D  solids  and  surfaces  by  revolving  profi  les.  ✓  Revolve  regions.  ✓  Revolve  surfaces.  ✓  Extrude  and  revolve  objects  using  mathematical  expressions  and  constraints.  ✓  Use  solid  extrusions  and  revolutions  as  construction  tools.  A  complex  shape  can  be  created  by  extruding  a  profi  le  into  a  3D  solid  or  surface  model.  You  have  been  introduced  to  the  operation  in  previous  chapters.  Symmetrical  objects  can  be  created  by  revolving  a  profi  le  about  an  axis  to  create  a  new  shape.  This  chapter  discusses  the  EXTRUDE  and  REVOLVE  commands  and  using  these  commands  as  construction  tools.  Creating  Extruded  Models  Creating  Extruded  Models  An  extrusion  is  a  profi  le  that  has  been  “extruded”  into  a  3D  solid  or  surface.  The  EXTRUDE  command  allows  you  to  create  extrusions  from  lines,  arcs,  elliptical  arcs,  2D  and  3D  polylines,  2D  and  3D  splines,  circles,  ellipses,  2D  solids,  3D  solid  faces  and  edges,  regions,  planar  surfaces,  surface  edges,  and  donuts  .  By  default,  closed  objects,  such  as  circles,  polygons,  closed  polylines,  and  donuts,  are  converted  to  a  solid  extrusion  when  they  are  extruded.  A  solid  extrusion  repre-  sents  a  solid  object  and  has  mass  properties.  Open-ended  objects,  such  as  lines,  arcs,  polylines,  elliptical  arcs,  and  splines,  are  converted  to  a  surface  extrusion  when  they  are  extruded.  Surface  extrusions  have  no  mass  properties.  Extrusions  can  be  created  along  a  straight  line  or  along  a  path  curve.  A  taper  angle  can  also  be  applied  as  you  extrude  an  object.  Figure  6-1  illustrates  a  polygon  extruded  into  a  solid.  When  the  EXTRUDE  command  is  selected,  you  are  prompted  to  select  the  objects  to  extrude.  Select  the  objects  and  press  [Enter].  You  are  then  prompted  for  the  extrusion  EXTRUDE  Ribbon  Home  Modeling  Solid  Solid  Extrude  Surface  Create  Extrude  Type  EXTRUDE  EXT  Model  Extrusions  and  Revolutions  CHAPTER  6  6