Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
JasonB`RectanglePacking`
PackRectangles  |
|
| | ||||
|
| | ||||
Details and Options
Examples
(3)
Basic Examples
(1)
Pack a sequence of squares into a larger square:
In[1]:=
 | PackRectangles |
Out[1]=
{{{13,99},{14,100}},{{25,98},{27,100}},{{54,96},{57,99}},{{50,96},{54,100}},{{30,25},{35,30}},{{91,87},{97,93}},{{91,80},{98,87}},{{90,72},{98,80}},{{90,63},{99,72}},{{50,86},{60,96}},{{25,87},{36,98}},{{13,87},{25,99}},{{0,87},{13,100}},{{36,86},{50,100}},{{76,83},{91,98}},{{60,84},{76,100}},{{73,66},{90,83}},{{55,66},{73,84}},{{55,47},{74,66}},{{79,21},{99,41}},{{79,0},{100,21}},{{78,41},{100,63}},{{55,24},{78,47}},{{55,0},{79,24}},{{30,0},{55,25}},{{29,30},{55,56}},{{28,59},{55,86}},{{0,59},{28,87}},{{0,30},{29,59}},{{0,0},{30,30}}}
In[2]:=
$RectanglePackingMethods
Out[2]=
{MaxRects,Guillotine,Shelf,Skyline,MaxRectsBestShortSide,MaxRectsBestLongSide,MaxRectsBestArea,MaxRectsBottomLeft,MaxRectsContactPoint,GuillotineBestShortSide,GuillotineBestLongSide,GuillotineBestArea,GuillotineWorstShortSide,GuillotineWorstLongSide,GuillotineWorstArea,ShelfNextFit,ShelfFirstFit,ShelfBestAreaFit,ShelfBestHeightFit,ShelfBestWidthFit,ShelfWorstAreaFit,ShelfWorstWidthFit,SkylineBottomLeft,SkylineBestFit}
Visualize the result:
In[3]:=
Graphics[{EdgeForm[Black],FaceForm[None],Rectangle@@@%},FrameTrue]
Out[3]=
In[4]:=
| PackRectangles |
Out[4]=
{{0,0},{1,1}},{{1,0},{3,2}},{{3,0},{6,3}},{{6,0},{10,4}},{{10,0},{15,5}},{{15,0},{21,6}},{{21,0},{28,7}},{{28,0},{36,8}},{{36,0},{45,9}},{{45,0},{55,10}},{{55,0},{66,11}},{{66,0},{78,12}},{{78,0},{91,13}},{{21,8},{35,22}},{{36,10},{51,25}},{{55,12},{71,28}},{{71,13},{88,30}},{{71,30},{89,48}},{{1,6},{20,25}},{{1,25},{21,45}},{{1,45},{22,66}},{{1,66},{23,88}},{{23,25},{46,48}},{{23,48},{47,72}},{{23,72},{48,97}},{{55,48},{81,74}},Failure
,Failure
,Failure
,Failure
|
|
|
|
|
|
|
|
Scope
(1)
Options
(1)
 |
|
 |
|
|
""