# Make a square table top with the minimal needed amount of straight cuts

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.

• Stacking is not allowed, but is lining up two pieces of wood allowed? Commented Apr 14 at 12:48
• No, I guess that is not exactly the same, bet also not allowed Commented Apr 14 at 14:56
• 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? Commented Apr 16 at 21:09

It can be done in

4

(but not without 30 characters)

• This is the kind of answer I was hoping to get/to be optimal. Commented Apr 17 at 19:03

Here is an answer with only

5

straight cuts. See image below:

Note that in the smallest square, the first cut is the vertical one :)

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).

• Welcome to PSE (Puzzling Stack Exchange)! Commented Apr 15 at 20:38