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 2018-05-29, 01:20 #1 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2×3×5×17×19 Posts June 2018
 2018-06-04, 07:33 #2 Dieter   Oct 2017 112 Posts Checking all possibilities of setting either 5 "L"s or 5 "J"s in the box I find exactly eight common shapes. All these shapes have a "great" hole inside (three adjacent places). The computing times are negligible. Has one of you the same problem?
2018-06-04, 09:34   #3
henryzz
Just call me Henry

"David"
Sep 2007
Liverpool (GMT/BST)

174316 Posts

Quote:
 Originally Posted by Dieter Checking all possibilities of setting either 5 "L"s or 5 "J"s in the box I find exactly eight common shapes. All these shapes have a "great" hole inside (three adjacent places). The computing times are negligible. Has one of you the same problem?
Is the size of the box fixed?

2018-06-05, 10:58   #4
Dieter

Oct 2017

12110 Posts

Quote:
 Originally Posted by henryzz Is the size of the box fixed?

I thought so, but now I believe, that the size is not fixed.
It's no problem to find solutions in bigger boxes.

2018-06-05, 15:13   #5
petrw1
1976 Toyota Corona years forever!

"Wayne"
Nov 2006
Saskatchewan, Canada

2×32×277 Posts

I believe a box is irrelevant.

It simply says:

Quote:
 ...find an asymmetrical shape without holes that can be constructed both from five "L"s and from five "J"s.
However I'm not sure what "translated" means.
Quote:
 There are two L-shaped one-sided tetrominoes - tetrominoes that can be translated and rotated but not flipped:

Last fiddled with by petrw1 on 2018-06-05 at 15:15

2018-06-05, 15:40   #6
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

20C016 Posts

Quote:
 Originally Posted by petrw1 I believe a box is irrelevant. It simply says: However I'm not sure what "translated" means.
Via google:

MATHEMATICS
movement of a body from one point of space to another such that every point of the body moves in the same direction and over the same distance, without any rotation, reflection, or change in size.

2018-06-06, 05:29   #7
Dieter

Oct 2017

112 Posts

Quote:
 Originally Posted by petrw1 I believe a box is irrelevant. It simply says: However I'm not sure what "translated" means.

1) For using "brute force" I need a box in order to have limits of the variables. Apart from that the box is irrelevant.

2) "Translate and rotate but not flip" can be defined with a simple comment, too:

The tetromino may be moved just like in TETRIS.

 2018-07-03, 14:11 #8 Xyzzy     Aug 2002 7×1,201 Posts
 2018-07-04, 06:45 #9 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 219710 Posts I think a little colour is easier on the perception. https://drive.google.com/file/d/1WUo...Y7CvXY878/view Last fiddled with by a1call on 2018-07-04 at 06:49

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