1. The six symmetries of the equilateral triangle.FY FZ N R L FX
name
effect N N N R L FX FY FZ
( ) R R L N FY FZ FX R
(XYZ) L
(XZY) L L N R FZ FX FY FX
(YZ) FX FX FZ FY N L R FY
(XZ) FY FY FX FZ R N L FZ
(XY) FZ FZ FY FX L R N

2. Cut off and cut out the small triangle

3. A B C A B C

4. D R R J R J J D D

5. M G G E G E E M M

6. B A A B C D C D Cut out just the small rectangle.
Carefully mark the back.
Find the four symmetries.
Build the table. B A B D C A C D

7. B A A B C D C D Cut out just the small square.
Carefully mark the back.
Find the 8 symmetries
Build the table. B D C A B A C D

8. A y D x B B B z z y D D B x x A D y z y C C x C C z A

9. y Sam x z z y Sol x x z y y x Will z Will Eva Sol Sol Sol Sam Sam Eva

10. pentominoes Build rectangles 512, 320,415, 610,

11. Octahedron tabbed Cut out Lightly score lines Cut through dark slots
Fold (big tabs inside)
Octahedron tabbed

12. Fibonacci puzzle

13. Fibonacci puzzle 64 squares. Cut on dark lines.
Rearrange to 5 13 = 65 squares!
Where did the extra square come from?

14. A D B B B D D A D B C C C C A There are 12 symmetries Here are 3: ( )
(DCB)(A)
(AC)(BD)
Find them, find the rest,
Build the table.
Cut out and fold up the tetrahedron.
Find all the ways to put it on the base. A D B B B D D A B D
Imagine A on top C C C C A

15. D A C B

16. D A C B