Seven L-ements
Designed, made and presented by Rick Eason
for International Puzzle Party 25
Helsinki, Finland, July 2005

Seven L-shaped pieces, no two alike, form a solid cube






The pieces

An assembled puzzle








Objective: Make a solid cube out of the seven pieces. There is only a single solution.

Click here for a discussion on variations of Seven L-ements and why this particular set of pieces was chosen. Warning: this discussion exposes you to the solution hints!

Click here for the related Eight L-ements puzzle that also has only one solution.

Other simpler problems are given by trying to create a solid cuboid (a.k.a. rectangular parallelpiped) out of subsets of the pieces. Five pairs of pieces can form simple cuboids. (Can you find them?) The following table gives all remaining sets making cuboids, the number of solutions (not counting rotations and reflections) and the cuboid dimensions.



Other Cuboids

Pieces

Number of Solutions

Dimensions

ABCD

8

6x5x1

ABCD

8

10x3x1

ABCD

4

5x3x2

ABCG

4

4x3x3

ABEF

3

5x3x2

ABEG

6

4x3x3

CDEF

1

4x3x3

ABCDEF

64

8x3x2

ABCDEF

51

4x4x3

ABCDEG

22

6x3x3

ABCDEG

32

9x3x2

ABCEFG

310

6x3x3



I really hate to give out solutions, but if you really, really must have my solution sheet, then click here. Before looking looking at the solution, however, you might first try looking at a some of the hints given here.

© R. Eason, 2005

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