Cross Space Fillers

Eduard Bobik describes some non-convex space fillers on his interesting website. Here is a shape that he calls a cross space filler.

Steps

1. Cut out many copies of the pattern pieces. You will use two pattern pieces to make one polyhedron. The pattern piece with one tab is the top of the polyhedron and the one with many tabs is the bottom.
   
2. Score and crease. The dashed lines are valley folds, the dot-dashed lines are mountain folds.
   
3. Glue the tab for each pattern piece to the neighboring edge.
   
4. Glue the top half and bottom half together to form a star-shaped polyhedron.
   
5. Glue the polyhedra together to fill space.
   

Notes

• The coordinates for the cross space filler are: A(-1, 1, 0)
  B(1, 1, 0)
  C(1, -1, 0)
  D(-1, -1, 0)
  E(0, 0.5, 0)
  F(0.5, 0, 0)
  G(0,-0.5, 0)
  H(-0.5, 0, 0)
  I(0, 0, 1)
  J(0, 0, -1)
  
  Faces:
  AEI
  BIE
  BFI
  CIF
  CGI
  DIG
  DHI
  AIH
  AEJ
  BJE
  BFJ
  CJF
  CGJ
  DJG
  DHJ
  AJH
  
  
• 
  

Links

• The information on this page is from Edo Bobik's very informative and interesting website.
• Maurice Starck discusses space fillers and much more on his extensive website with interactive models.