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I'd like to draw a large number of 3D cylinders using Graphics3D. My list specifying the cylinders has elements that look like the following:

{ {{{p1x1, p1y1, p1z1}, {p2x1, p2y1, p2z1}},r1}, {{{p1x2, p1y2, p1z2}, {p2x2, p2y2, p2z2}},r2}, {{{p1x3, p1y3, p1z3}, {p2x3, p2y3, p2z3}},r3}, ...}

Here, the first subelement, e.g. {{p1x1, p1y1, p1z1}, {p2x1, p2y1, p2z1}}, specifies the coordinates for the two end-points of the cylinder, and the the second subelement, e.g. r1 or r2, specifies the radius of the specific cylinder.

Is there a way to use mapping to draw all of these cylinders with a condensed line of code?

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Simple /@ does it! Form $1500$ random cylinders from data.

cyildat =Table[{RandomReal[{-100, 100}, {2, 3}], RandomReal[5]}, {1500}];
Graphics3D[{EdgeForm[None],Directive[Opacity@RandomReal[{.4, .9}], Hue[RandomReal[]]], 
Cylinder[First@#, Last@#]} & /@ cyildat,(* Map on your data *)
Boxed -> False,ImageSize -> 800]

enter image description here

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  • $\begingroup$ For some reason, this code is causing Mathematica 9.0.1 to crash on a mid-2013 MacBook Air running OS X 10.9 (Mavericks). It works, though, if I make the number of cylinders smaller. (Haven't determined how small before it starts crashing.) Anyone else experiencing this problem? $\endgroup$ – Aky Nov 14 '13 at 6:08
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What you want is Apply:

Cylinder @@@ {{{{p1x1, p1y1, p1z1}, {p2x1, p2y1, p2z1}}, 
   r1}, {{{p1x2, p1y2, p1z2}, {p2x2, p2y2, p2z2}}, 
   r2}, {{{p1x3, p1y3, p1z3}, {p2x3, p2y3, p2z3}}, r3}}

(* {Cylinder[{{p1x1, p1y1, p1z1}, {p2x1, p2y1, p2z1}}, r1], 
 Cylinder[{{p1x2, p1y2, p1z2}, {p2x2, p2y2, p2z2}}, r2], 
 Cylinder[{{p1x3, p1y3, p1z3}, {p2x3, p2y3, p2z3}}, r3]} *)
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