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Sticks in a Cube (Posted on 2017-04-11) Difficulty: 2 of 5
Place 18 1x1x5 sticks in a 5x5x5 cube so that it is not possible to place a 19th stick in the cube.

No Solution Yet Submitted by Brian Smith    
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Solution re(2): Solution Comment 3 of 3 |
(In reply to re: Solution by Brian Smith)

A question came up when this was in the queue.  What size is the 19th stick?  We decided that without further info that it was to be another 1x1x5.  A bad assumption on my part but a reminder to check on your problem in case there are questions.  I didn't see how simple it was until this went live and I tried it.

As for your corrected problem...
(Lucky for me I have a bunch of 1x1x5 sticks on hand)
There are several ways to exclude a short stick using 19 longs sticks.  They are a bit wasteful because they fill the corners of the cube.  To use only 18, use 6 in each of the cardinal directions.  Seen head on they look like:
.X.X.
.....
.X.X.
.....
.X.X.
The horizontal gaps have two of another direction's sticks.
The next layer down has three sticks going the other way.

  Posted by Jer on 2017-04-14 11:29:12
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