11
$\begingroup$

inspired by : Make a square table top with six (or fewer) pieces

A carpenter has three pieces of beautiful wood, measuring 12 inches, 15 inches, and 16 inches square, respectively. They want to use them to make a small square table top 25 inches by 25 inches, using as few straight cuts as possible. How are they to do it?

Note: Cutting 2 pieces of wood with 1 cut (by stacking or lining up pieces, for example) is not allowed.

Additional remark/extra challenge: The intended solution cuts only triangles off the pieces of wood. However, it only matches Lezzup's answer in number of cuts.

$\endgroup$
3
  • $\begingroup$ Stacking is not allowed, but is lining up two pieces of wood allowed? $\endgroup$
    – justhalf
    Commented Apr 14 at 12:48
  • 1
    $\begingroup$ No, I guess that is not exactly the same, bet also not allowed $\endgroup$
    – Retudin
    Commented Apr 14 at 14:56
  • $\begingroup$ About the challenge, I am not sure this is possible. I have found a solution with only 1 straight cut at maximum. Are you sure all cuts are creating triangles? $\endgroup$
    – Lezzup
    Commented Apr 16 at 21:09

4 Answers 4

16
$\begingroup$

It can be done in

4

(but not without 30 characters)

enter image description here

$\endgroup$
1
  • 1
    $\begingroup$ This is the kind of answer I was hoping to get/to be optimal. $\endgroup$
    – Retudin
    Commented Apr 17 at 19:03
12
$\begingroup$

Here is an answer with only

5

straight cuts. See image below:

enter image description here Note that in the smallest square, the first cut is the vertical one :)

$\endgroup$
10
$\begingroup$

Another answer matching the current best number of cuts, but using only horizontal and vertical cuts (my brain doesn't work well with triangles).

Made in 5 cuts. Cuts on the 15x15 square must be made in decreasing order of length (longest cuts first). Squares split into pieces

$\endgroup$
1
  • $\begingroup$ Welcome to PSE (Puzzling Stack Exchange)! $\endgroup$ Commented Apr 15 at 20:38
0
$\begingroup$

For completeness: A suboptimal answer I had in mind was:

enter image description here

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.