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.
- 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.
- Score and crease. The dashed lines are valley folds, the dot-dashed lines are mountain folds.
- Glue the tab for each pattern piece to the neighboring edge.
- Glue the top half and bottom half together to form a star-shaped polyhedron.
- Glue the polyhedra together to fill space.
- 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)
H(-0.5, 0, 0)
I(0, 0, 1)
J(0, 0, -1)