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Guest Message by DevFuse
 

ParaLogic

Member Since 01 Oct 2012
Offline Last Active Jun 14 2014 11:44 PM
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Topics I've Started

Greek Cross Dissections

18 March 2013 - 03:11 AM

It's been a looong time since I last visited this forum. (I forgot the username/password for my old account.) But now I'm capable of making my own puzzles (I hope)!  :thumbsup:

Attached File  Greek Cross 1.png   1.38KB   60 downloads

 

Find the minimum number of straight lines needed to cut a greek cross (example above) into pieces that can be re-assembled to make:

  1. One square
  2. Two congruent squares
  3. Three congruent squares (I don't actually know the answer--or if it's even feasible--but maybe you'll surprise me!)
  4. Four congruent squares
  5. Five congruent squares (It's not quite as obvious as it looks!)
  6. Four congruent greek crosses (I have a solution, but it's probably not optimal)
  7. Five congruent greek crosses (Same as #6)

I'm fairly confident that I have the optimal solutions for 1, 2, 4, and 5. I just threw in the others for an extra challenge. 

 

Spoiler for Note!