Home » Community » It arrived! » Pythagoras puzzle
Search Search  
Show: Today's Messages    Show Polls    Message Navigator
Pythagoras puzzle [message #6476] Sat, 12 September 2009 16:36 UTC Go to next message
avatar Magic  is currently offline Magic
Messages: 1177
Registered: August 2008
Go to my shop
Shapie Expert
Shapeways Crew
Hi again,

In the package I received yesterday there was also the Pythagoras puzzle.
It allows to demonstrate the Pythagoras theorem: in a right-angled triangles, the sum of the areas of the two squares on the legs (A and B) equals the area of the square on the hypotenuse (C).
You can draw squares on all the sides of a right-angled triangle, to visualize this.
As A+B=C, there exist at least one dissection of the square C whose pieces can be rearranged to fill the square A and B.
This puzzle is such a dissection (5 pieces), with a support consisting of 3 square-shaped boxes surrounding empty right-angled triangle.
index.php?t=getfile&id=1338&private=0
You can put all the pieces in the two smaller squares:
index.php?t=getfile&id=1339&private=0
or into the biggest one:
index.php?t=getfile&id=1340&private=0
By the way, the biggest triangle of this dissection has the same shape as the initial righ-angled triangle.

The biggest dimension of the smaller piece is approximately 1cm. Except this one, all the other pieces are hollowed, and I had to clean-up some support material only on the smallest hollowed part.

  • Attachment: Pyth0.jpg
    (Size: 119.74KB, Downloaded 706 time(s))

  • Attachment: Pyth1.jpg
    (Size: 130.38KB, Downloaded 651 time(s))

  • Attachment: Pyth2.jpg
    (Size: 134.13KB, Downloaded 673 time(s))

[Updated on: Sun, 13 September 2009 13:39 UTC]

Re: Pythagoras puzzle [message #6478 is a reply to message #6476 ] Sat, 12 September 2009 16:49 UTC Go to previous messageGo to next message
avatar Nshortino  is currently offline Nshortino
Messages: 31
Registered: September 2008
Go to my shop
Member
Awesome! I love math puzzles like these.
Re: Pythagoras puzzle [message #6505 is a reply to message #6478 ] Sun, 13 September 2009 19:56 UTC Go to previous messageGo to next message
avatar Magic  is currently offline Magic
Messages: 1177
Registered: August 2008
Go to my shop
Shapie Expert
Shapeways Crew
Thanks Nicholas. You can see a video of the Pythagoras puzzle on my Channel on YouTube: it gives a better idea of the size of the puzzle (and also shows that it is quite easy to solve once you know where each piece must go Laughing )


So many things to design, so little time...
Re: Pythagoras puzzle [message #6506 is a reply to message #6476 ] Sun, 13 September 2009 23:17 UTC Go to previous messageGo to next message
avatar gibell  is currently offline gibell
Messages: 377
Registered: May 2009
Go to my shop
Senior Member
Is that a 3 / 4 / 5 triangle? Well done!
Re: Pythagoras puzzle [message #6510 is a reply to message #6506 ] Mon, 14 September 2009 05:56 UTC Go to previous message
avatar Magic  is currently offline Magic
Messages: 1177
Registered: August 2008
Go to my shop
Shapie Expert
Shapeways Crew
Thanks George. I tried with these integer values, but I was not pleased with the proportions. So actually the proportions are 3/5/5.83095... Rolling Eyes

 
   
Previous Topic:GREAT SERVICE WORKED OUT
Next Topic:Swirl Bowl

Logo

Hello.

We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.