computational geometry - Cut a polygon by a line

I have a polygon, says, Polygon[{0,0},{10,0},{10,10}{0,10}]. I would like to cut it by a line (through two points) and take one half of it. Could you please suggest me the functions I should use? (I am very new to Mathematica).

Answer

I guess a pretty easy approach is to use HalfPlane with your two points that define your line. RegionDifference should do the rest.

RegionDifference[ 
 Polygon[{{0, 0}, {10, 0}, {10, 10}, {0, 10}}], 
 HalfPlane[{{1, 0}, {3, 7}}, {1, 1}]];
RegionPlot[%]

Mathematica graphics

Comments

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