Draw Multiple Polygons Given Their Vertices

Hi I have a very simple question but I haven’t been able to find a set answer. How would I draw a bunch of polygons on one graph. The following does not work:

Graphics[{Polygon[{{989, 1080}, {568, 1080}, {834, 711}}],
Polygon[{{1184, 1080}, {989, 1080}, {834, 711}, {958, 541}}],
Polygon[{{1379, 1080}, {1184, 1080}, {958, 541}, {1082, 370}}],
Polygon[{{1470, 1080}, {1379, 1080}, {1082, 370}, {1140, 291}}],
Polygon[{{1665, 1080}, {1470, 1080}, {1140, 291}, {1263, 120}}],
Polygon[{{1756, 1080}, {1665, 1080}, {1263, 120}, {1321, 41}}],
Polygon[{{1394, 0}, {1920, 0}, {1920, 1080}, {1846, 1080}}],
Polygon[{{1352, 0}, {1394, 0}, {1846, 1080}, {1756, 1080}, {1321,
41}}], Polygon[{{931, 0}, {1352, 0}, {1084, 367}}],
Polygon[{{736, 0}, {931, 0}, {1084, 367}, {961, 537}}],
Polygon[{{540, 0}, {736, 0}, {961, 537}, {836, 708}}],
Polygon[{{450, 0}, {540, 0}, {836, 708}, {779, 788}}],
Polygon[{{255, 0}, {450, 0}, {779, 788}, {654, 958}}],
Polygon[{{164, 0}, {255, 0}, {654, 958}, {597, 1038}}],
Polygon[{{73, 0}, {164, 0}, {597, 1038}, {568, 1080}, {524, 1080}}],
Polygon[{{0, 0}, {73, 0}, {524, 1080}, {0, 1080}}]}]

I apologize for how basic this question is. If anyone could steer me in the right direction it would be greatly appreciated.

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Have you seen this? Be sure to look under “Applications”, “Options” and “Neat Examples”.
– C. E.
Nov 18 ’14 at 18:36

  

 

Sorry. Edited question. For some reason I couldn’t post the code (getting nondescript error) and had to post it as an image.
– Julian
Nov 18 ’14 at 18:38

1

 

@Julian We can’t really reproduce your errors as nobody is going to sit down and re-write the code you posted. Try using other ways to share the code 🙂
– Sektor
Nov 18 ’14 at 18:41

  

 

Very sorry! 🙂 here is the code. pastebin.com/wj0D6CGs
– Julian
Nov 18 ’14 at 18:49

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2 Answers
2

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polys = {Polygon[{{989, 1080}, {568, 1080}, {834, 711}}],
Polygon[{{1184, 1080}, {989, 1080}, {834, 711}, {958, 541}}],
Polygon[{{1379, 1080}, {1184, 1080}, {958, 541}, {1082, 370}}],
Polygon[{{1470, 1080}, {1379, 1080}, {1082, 370}, {1140, 291}}],
Polygon[{{1665, 1080}, {1470, 1080}, {1140, 291}, {1263, 120}}],
Polygon[{{1756, 1080}, {1665, 1080}, {1263, 120}, {1321, 41}}],
Polygon[{{1394, 0}, {1920, 0}, {1920, 1080}, {1846, 1080}}],
Polygon[{{1352, 0}, {1394, 0}, {1846, 1080}, {1756, 1080}, {1321, 41}}],
Polygon[{{931, 0}, {1352, 0}, {1084, 367}}],
Polygon[{{736, 0}, {931, 0}, {1084, 367}, {961, 537}}],
Polygon[{{540, 0}, {736, 0}, {961, 537}, {836, 708}}],
Polygon[{{450, 0}, {540, 0}, {836, 708}, {779, 788}}],
Polygon[{{255, 0}, {450, 0}, {779, 788}, {654, 958}}],
Polygon[{{164, 0}, {255, 0}, {654, 958}, {597, 1038}}],
Polygon[{{73, 0}, {164, 0}, {597, 1038}, {568, 1080}, {524, 1080}}],
Polygon[{{0, 0}, {73, 0}, {524, 1080}, {0, 1080}}]};

The default fill for Polygon is Black so you end up with an almost completely black field. The edges are very faint.

Graphics[polys]

You can use EdgeForm to clearly see the edges of the polygons.

Graphics[{EdgeForm[Red], polys}]

Or you can color the polygons

Graphics[
Thread[{
Table[
ColorData[RandomInteger[{1, 113}]][n],
{n, Length[polys]}],
polys}]]

your plot is ok. actually all polygons are plotted but because the EdgeForm & FaceForm, the plot is not clear.
check this:

poly = {Polygon[{{989, 1080}, {568, 1080}, {834, 711}}],
Polygon[{{1184, 1080}, {989, 1080}, {834, 711}, {958, 541}}],
Polygon[{{1379, 1080}, {1184, 1080}, {958, 541}, {1082, 370}}],
Polygon[{{1470, 1080}, {1379, 1080}, {1082, 370}, {1140, 291}}],
Polygon[{{1665, 1080}, {1470, 1080}, {1140, 291}, {1263, 120}}],
Polygon[{{1756, 1080}, {1665, 1080}, {1263, 120}, {1321, 41}}],
Polygon[{{1394, 0}, {1920, 0}, {1920, 1080}, {1846, 1080}}],
Polygon[{{1352, 0}, {1394, 0}, {1846, 1080}, {1756, 1080}, {1321,
41}}], Polygon[{{931, 0}, {1352, 0}, {1084, 367}}],
Polygon[{{736, 0}, {931, 0}, {1084, 367}, {961, 537}}],
Polygon[{{540, 0}, {736, 0}, {961, 537}, {836, 708}}],
Polygon[{{450, 0}, {540, 0}, {836, 708}, {779, 788}}],
Polygon[{{255, 0}, {450, 0}, {779, 788}, {654, 958}}],
Polygon[{{164, 0}, {255, 0}, {654, 958}, {597, 1038}}],
Polygon[{{73, 0}, {164, 0}, {597, 1038}, {568, 1080}, {524,
1080}}], Polygon[{{0, 0}, {73, 0}, {524, 1080}, {0, 1080}}]};

Graphics[#] & /@ poly

Graphics[{FaceForm[], EdgeForm[Black], #}] & /@ poly

Show[%]

  

 

Thank you for your answer. I am not at my computer that has Mathematica installed on it, but I will check this later tonight when I am!
– Julian
Nov 18 ’14 at 19:05