perplexus.info :: Shapes : Limited Orientation Triominoes

Limited Orientation Triominoes (Posted on 2021-10-08)

Its pretty easy to take 16 L-triominoes and make a giant L-triomino that is 4x scale, like in this classic triomino puzzle.

But consider the four possible orientations of the L-triomino.
Is it still possible to make the 4x scale triomino if we require that only three orientations of the individual triominoes be present in the solution?

No Solution Yet Submitted by Brian Smith

Rating: 3.0000 (1 votes)

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Solution

| Comment 4 of 5 |

This is different from Steven's.

I started with two realizations:

A 2x scale can easily be filled with 4 copies in 3 orientations.

A 2by3 rectangle can be filled in two ways, which allows switching orientations to leave one out.

Then it was just a matter getting things to fit together:

1122
1324
3344
5566
57689900
77889AA0
BBCDDEAF
BCCDEEFF

The orientation avoided is that of the 4x scale.

Edited on October 9, 2021, 5:49 pm

Posted by Jer on 2021-10-09 17:48:39

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