Designed by P. F. Ramos 2004, made by Interlocking Puzzles.

(wood frame and 12 pieces, 3.75" x 3.75" x 3" inches)

Standardpentominoesare the 12 different planar shapes that can be formed from 5 squares. There are 17non-planarpentomino shapes (each made from 5 cubes). Here, 12 of them (which can be can be grouped into 6 mirror image pairs) must be packed into a 4x5x5 box frame; 40 units are used by the frame, leaving exactly 60 units of space to pack these pieces:

According to the sheet that came with the puzzle there are 54,189 possible ways these pieces can fit (in the sense that you could build the box around them), of which 23,549 of them can be achieved by starting with the box frame and inserting and moving pieces. Here is the layer by layer representation of the solution that came with the puzzle (X is the box):

A

B

C

D

E

F

G

H

I

J

K

LIn the orientations shown in the figures above, pieces can be inserted as follows:

top layer:XXXXX

XJAFX

XJJFX

XCCFX

XXXXX2nd layer:XGAIX

GGAFF

GJAAK

HJCDK

XDDDX3rd layer:XGBIX

BBBII

EEELL

HHCKK

XDCKXbottom layer:XXXXX

XBEIX

XHELX

XHLLX

XXXXX

1. B from behind.

2. I from behind.

3. G from behind.

4. E from below.5. H from below.

6. A from behind.

7. L from the right.

8. K from the front.9. F from behind.

10. C from above.

11. J from the top.

12. D from the front.