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graphics3d - How can I fill an entire Building with transparent points?



I am posting the same code found at an earlier question, although the concept here is totally different.


The following code corresponds to a building-shaped structure.



w = 100;
l = 200;
h = 30;
m = 70;
backwall = {{0, l, 0}, {w, l, 0}, {w, l, h}, {0, l, h}};
side1 = {{0, 0, 0}, {0, 0, h}, {0, l, h}, {0, l, 0}};
side2 = {{w, 0, 0}, {w, 0, h}, {w, l, h}, {w, l, 0}};
floor = {{0, 0, 0}, {w, 0, 0}, {w, l, 0}, {0, l, 0}};
top = {{0, 0, h}, {w, 0, h}, {w, l, h}, {0, l, h}};
front = {{0, 0, 0}, {w, 0, 0}, {w, 0, h}, {0, 0, h}};

leftRoof = {{0, 0, h}, {w/2, 0, m}, {w/2, l, m}, {0, l, h}};
rightRoof = {{w, 0, h}, {w/2, 0, m}, {w/2, l, m}, {w, l, h}};
roofBack = {{w, l, h}, {w/2, l, m}, {0, l, h}};
roofFront = {{w, 0, h}, {w/2, 0, m}, {0, 0, h}};
building = {backwall, side1, side2, floor, front, leftRoof, rightRoof,roofBack, roofFront};
figure =Graphics3D[{Opacity[0.5],Style[Polygon[building,VertexColors -> Map[0.5 + #[[3]]/80 &, building, {2}]],Lighting -> {{"Ambient", White}}]}, Boxed -> False,RotationAction -> "Clip"];
data = RandomReal[60, {100, 3}];
data1 = RandomReal[60, {100, 3}];
redPoints = Graphics3D[{Opacity[0.4], PointSize -> Large,Style[Point[#], Blue]} & /@ data, Boxed -> False,RotationAction -> "Clip"];
bluePoints =Graphics3D[{Opacity[0.4], PointSize -> Large,Style[Point[#], Red]} & /@ data1, Boxed -> False,RotationAction -> "Clip"];

Show[{figure, redPoints, bluePoints}]

and upon evaluation it produces:


house with transparent points


I have 10000 points that need placing, some with coordinates inside the building while the remaining are outside (like the ones circled above).


I have the following two questions:




  1. How can I omit the points that are not within the building?





  2. How do I fill the entire building with points?




Having tried a few things this morning, I still couldn't get it to work as I want so any help is appreciated.




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