No rendering when using difference

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No rendering when using difference

seb.belese

Hi,

I am new to OpenSCAD, and I built a polyhedron which I can render with no problem.


However, when I try to substract a cylinder from it, I can visualize it (F5), but not render it (F6): the resulting render is empty. I have seen some similar problems from other people, but usually when importing stl files. The code is below (sorry for the complexity, the shape of the polyhedron was generated from outside).


Is there something wrong with the code? Do you encounter the same issue?


Thanks for any help,

Sébastien


difference() {
    polyhedron(faces = [[19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0], [0, 1, 21, 20], [1, 2, 22, 21], [2, 3, 23, 22], [3, 4, 24, 23], [4, 5, 25, 24], [5, 6, 26, 25], [6, 7, 27, 26], [7, 8, 28, 27], [8, 9, 29, 28], [9, 10, 30, 29], [10, 11, 31, 30], [11, 12, 32, 31], [12, 13, 33, 32], [13, 14, 34, 33], [14, 15, 35, 34], [15, 16, 36, 35], [16, 17, 37, 36], [17, 18, 38, 37], [18, 19, 39, 38], [19, 0, 20, 39], [20, 21, 41, 40], [21, 22, 42, 41], [22, 23, 43, 42], [23, 24, 44, 43], [24, 25, 45, 44], [25, 26, 46, 45], [26, 27, 47, 46], [27, 28, 48, 47], [28, 29, 49, 48], [29, 30, 50, 49], [30, 31, 51, 50], [31, 32, 52, 51], [32, 33, 53, 52], [33, 34, 54, 53], [34, 35, 55, 54], [35, 36, 56, 55], [36, 37, 57, 56], [37, 38, 58, 57], [38, 39, 59, 58], [39, 20, 40, 59], [40, 41, 61, 60], [41, 42, 62, 61], [42, 43, 63, 62], [43, 44, 64, 63], [44, 45, 65, 64], [45, 46, 66, 65], [46, 47, 67, 66], [47, 48, 68, 67], [48, 49, 69, 68], [49, 50, 70, 69], [50, 51, 71, 70], [51, 52, 72, 71], [52, 53, 73, 72], [53, 54, 74, 73], [54, 55, 75, 74], [55, 56, 76, 75], [56, 57, 77, 76], [57, 58, 78, 77], [58, 59, 79, 78], [59, 40, 60, 79], [60, 61, 81, 80], [61, 62, 82, 81], [62, 63, 83, 82], [63, 64, 84, 83], [64, 65, 85, 84], [65, 66, 86, 85], [66, 67, 87, 86], [67, 68, 88, 87], [68, 69, 89, 88], [69, 70, 90, 89], [70, 71, 91, 90], [71, 72, 92, 91], [72, 73, 93, 92], [73, 74, 94, 93], [74, 75, 95, 94], [75, 76, 96, 95], [76, 77, 97, 96], [77, 78, 98, 97], [78, 79, 99, 98], [79, 60, 80, 99], [80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99]], points = [[-12.1000000000, 0.6000000000, 2.4733413149], [-0.2645497289, -0.0128808879, 2.4733413149], [11.9344341747, -1.4086239445, 2.4733413149], [24.1355716448, -2.5542701643, 2.4733413149], [35.9774826150, -2.4168605418, 2.4733413149], [47.0987871087, 0.0365636260, 2.4733413149], [57.2529612666, 5.4496843894, 2.4733413149], [66.6402934955, 12.9518231698, 2.4733413149], [75.5697083075, 21.3041059427, 2.4733413149], [84.3501302148, 29.2676586838, 2.4733413149], [84.9947208658, 28.5062359773, 2.4733413149], [76.1429723223, 20.4779923324, 2.4733413149], [67.1410205492, 12.0578608568, 2.4733413149], [57.6774315256, 4.4947794099, 2.4733413149], [47.4407712304, -0.9623141489, 2.4733413149], [36.2291242397, -3.4356683946, 2.4733413149], [24.2910170177, -3.5741942466, 2.4733413149], [11.9907651653, -2.4192415160, 2.4733413149], [-0.3073156265, -1.0121603189, 2.4733413149], [-12.2389096666, -0.3943007714, 2.4733413149], [-12.1000000000, 0.1270378309, 7.4767584377], [-0.2645497289, -0.4858430570, 7.4767584377], [11.9344341747, -1.8815861136, 7.4767584377], [24.1355716448, -3.0272323334, 7.4767584377], [35.9774826150, -2.8898227109, 7.4767584377], [47.0987871087, -0.4363985431, 7.4767584377], [57.2529612666, 4.9767222203, 7.4767584377], [66.6402934955, 12.4788610007, 7.4767584377], [75.5697083075, 20.8311437736, 7.4767584377], [84.3501302148, 28.7946965147, 7.4767584377], [84.9947208658, 28.0332738082, 7.4767584377], [78.3312410826, 16.8515815611, 7.4767584377], [69.1485014005, 8.0008857770, 7.4767584377], [59.2936304543, 0.3859526016, 7.4767584377], [48.7084326467, -5.1379008975, 7.4767584377], [37.1619054951, -7.6851316458, 7.4767584377], [24.8828856821, -7.9305856419, 7.4767584377], [12.2166035420, -6.9439029250, 7.4767584377], [-0.4705620106, -5.2995812809, 7.4767584377], [-12.2389096666, -0.8672629405, 7.4767584377], [-12.1000000000, -0.0308238948, 12.5000000000], [-0.2645497289, -0.6437047827, 12.5000000000], [11.9344341747, -2.0394478393, 12.5000000000], [24.1355716448, -3.1850940591, 12.5000000000], [35.9774826150, -3.0476844366, 12.5000000000], [47.0987871087, -0.5942602689, 12.5000000000], [57.2529612666, 4.8188604946, 12.5000000000], [66.6402934955, 12.3209992750, 12.5000000000], [75.5697083075, 20.6732820479, 12.5000000000], [84.3501302148, 28.6368347890, 12.5000000000], [84.9947208658, 27.8754120825, 12.5000000000], [78.9262963850, 15.8362034527, 12.5000000000], [69.6943950981, 6.8684244385, 12.5000000000], [59.7331229699, -0.7606087627, 12.5000000000], [49.0531474556, -6.3026162734, 12.5000000000], [37.4155564369, -8.8699362381, 12.5000000000], [25.0438323598, -9.1444671741, 12.5000000000], [12.2780157076, -8.2035420741, 12.5000000000], [-0.5149535534, -6.4947077026, 12.5000000000], [-12.2389096666, -1.0251246662, 12.5000000000], [-12.1000000000, 0.1270378309, 17.5232415623], [-0.2645497289, -0.4858430570, 17.5232415623], [11.9344341747, -1.8815861136, 17.5232415623], [24.1355716448, -3.0272323334, 17.5232415623], [35.9774826150, -2.8898227109, 17.5232415623], [47.0987871087, -0.4363985431, 17.5232415623], [57.2529612666, 4.9767222203, 17.5232415623], [66.6402934955, 12.4788610007, 17.5232415623], [75.5697083075, 20.8311437736, 17.5232415623], [84.3501302148, 28.7946965147, 17.5232415623], [84.9947208658, 28.0332738082, 17.5232415623], [78.7634496000, 16.2287388054, 17.5232415623], [69.5450022043, 7.2930015653, 17.5232415623], [59.6128485300, -0.3321729292, 17.5232415623], [48.9588105122, -5.8692122925, 17.5232415623], [37.3461406360, -8.4310345089, 17.5232415623], [24.9997866233, -8.6976080565, 17.5232415623], [12.2612092466, -7.7441606233, 17.5232415623], [-0.5028050691, -6.0529812331, 17.5232415623], [-12.2389096666, -0.8672629405, 17.5232415623], [-12.1000000000, 0.6000000000, 22.5266586851], [-0.2645497289, -0.0128808879, 22.5266586851], [11.9344341747, -1.4086239445, 22.5266586851], [24.1355716448, -2.5542701643, 22.5266586851], [35.9774826150, -2.4168605418, 22.5266586851], [47.0987871087, 0.0365636260, 22.5266586851], [57.2529612666, 5.4496843894, 22.5266586851], [66.6402934955, 12.9518231698, 22.5266586851], [75.5697083075, 21.3041059427, 22.5266586851], [84.3501302148, 29.2676586838, 22.5266586851], [84.9947208658, 28.5062359773, 22.5266586851], [77.4852411417, 18.5436889190, 22.5266586851], [68.3723953242, 9.8594522949, 22.5266586851], [58.6687966940, 2.2645653588, 22.5266586851], [48.2183459157, -3.2334782825, 22.5266586851], [36.8012857663, -5.7521478605, 22.5266586851], [24.6540651349, -5.9562626915, 22.5266586851], [12.1292928529, -4.9045256155, 22.5266586851], [-0.4074498217, -3.3519227802, 22.5266586851], [-12.2389096666, -0.3943007714, 22.5266586851]]);
    translate(v = [5.0, 123.0, 12.5]) {
        rotate(a = 90, v = [103.5000000000, 69.1691761052]) {
            cylinder(d = 10, h = 127.185440606789);
        }
    }
}


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Re: No rendering when using difference

runsun
It seems rendering just fine on my OpenSCAD version 2017.01.20 (git 59df0d1)
(windows 10)



-----

$  Runsun Pan, PhD $ libs: scadx , doctest , faces ( git ), offline doc ( git ), runscad.py ( 2 , git ), editor of choice: CudaText  ( OpenSCAD lexer ); $ Tips ; $ Snippets

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$ Runsun Pan, PhD
$ libs: scadx, doctest, faces(git), offline doc(git), runscad.py(2,git), editor of choice: CudaText ( OpenSCAD lexer); $ Tips; $ Snippets
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Re: No rendering when using difference

thehans
In reply to this post by seb.belese
It looks like you are using quads for most of the polyhedron (except for the top and bottom faces), but it appears that quads on the end are not planar.
You should split these bits into triangles to avoid any issues like this.


With that being said, it does appear to render fine for me on Windows, using a dev snapshot 2018.06.01 (git 4455a12)


It does give a warning but seems to be able to handle working around it:

"PolySet has nonplanar faces. Attempting alternate construction"




On Mon, Oct 29, 2018 at 12:14 PM <[hidden email]> wrote:

Hi,

I am new to OpenSCAD, and I built a polyhedron which I can render with no problem.


However, when I try to substract a cylinder from it, I can visualize it (F5), but not render it (F6): the resulting render is empty. I have seen some similar problems from other people, but usually when importing stl files. The code is below (sorry for the complexity, the shape of the polyhedron was generated from outside).


Is there something wrong with the code? Do you encounter the same issue?


Thanks for any help,

Sébastien


difference() {
    polyhedron(faces = [[19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0], [0, 1, 21, 20], [1, 2, 22, 21], [2, 3, 23, 22], [3, 4, 24, 23], [4, 5, 25, 24], [5, 6, 26, 25], [6, 7, 27, 26], [7, 8, 28, 27], [8, 9, 29, 28], [9, 10, 30, 29], [10, 11, 31, 30], [11, 12, 32, 31], [12, 13, 33, 32], [13, 14, 34, 33], [14, 15, 35, 34], [15, 16, 36, 35], [16, 17, 37, 36], [17, 18, 38, 37], [18, 19, 39, 38], [19, 0, 20, 39], [20, 21, 41, 40], [21, 22, 42, 41], [22, 23, 43, 42], [23, 24, 44, 43], [24, 25, 45, 44], [25, 26, 46, 45], [26, 27, 47, 46], [27, 28, 48, 47], [28, 29, 49, 48], [29, 30, 50, 49], [30, 31, 51, 50], [31, 32, 52, 51], [32, 33, 53, 52], [33, 34, 54, 53], [34, 35, 55, 54], [35, 36, 56, 55], [36, 37, 57, 56], [37, 38, 58, 57], [38, 39, 59, 58], [39, 20, 40, 59], [40, 41, 61, 60], [41, 42, 62, 61], [42, 43, 63, 62], [43, 44, 64, 63], [44, 45, 65, 64], [45, 46, 66, 65], [46, 47, 67, 66], [47, 48, 68, 67], [48, 49, 69, 68], [49, 50, 70, 69], [50, 51, 71, 70], [51, 52, 72, 71], [52, 53, 73, 72], [53, 54, 74, 73], [54, 55, 75, 74], [55, 56, 76, 75], [56, 57, 77, 76], [57, 58, 78, 77], [58, 59, 79, 78], [59, 40, 60, 79], [60, 61, 81, 80], [61, 62, 82, 81], [62, 63, 83, 82], [63, 64, 84, 83], [64, 65, 85, 84], [65, 66, 86, 85], [66, 67, 87, 86], [67, 68, 88, 87], [68, 69, 89, 88], [69, 70, 90, 89], [70, 71, 91, 90], [71, 72, 92, 91], [72, 73, 93, 92], [73, 74, 94, 93], [74, 75, 95, 94], [75, 76, 96, 95], [76, 77, 97, 96], [77, 78, 98, 97], [78, 79, 99, 98], [79, 60, 80, 99], [80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99]], points = [[-12.1000000000, 0.6000000000, 2.4733413149], [-0.2645497289, -0.0128808879, 2.4733413149], [11.9344341747, -1.4086239445, 2.4733413149], [24.1355716448, -2.5542701643, 2.4733413149], [35.9774826150, -2.4168605418, 2.4733413149], [47.0987871087, 0.0365636260, 2.4733413149], [57.2529612666, 5.4496843894, 2.4733413149], [66.6402934955, 12.9518231698, 2.4733413149], [75.5697083075, 21.3041059427, 2.4733413149], [84.3501302148, 29.2676586838, 2.4733413149], [84.9947208658, 28.5062359773, 2.4733413149], [76.1429723223, 20.4779923324, 2.4733413149], [67.1410205492, 12.0578608568, 2.4733413149], [57.6774315256, 4.4947794099, 2.4733413149], [47.4407712304, -0.9623141489, 2.4733413149], [36.2291242397, -3.4356683946, 2.4733413149], [24.2910170177, -3.5741942466, 2.4733413149], [11.9907651653, -2.4192415160, 2.4733413149], [-0.3073156265, -1.0121603189, 2.4733413149], [-12.2389096666, -0.3943007714, 2.4733413149], [-12.1000000000, 0.1270378309, 7.4767584377], [-0.2645497289, -0.4858430570, 7.4767584377], [11.9344341747, -1.8815861136, 7.4767584377], [24.1355716448, -3.0272323334, 7.4767584377], [35.9774826150, -2.8898227109, 7.4767584377], [47.0987871087, -0.4363985431, 7.4767584377], [57.2529612666, 4.9767222203, 7.4767584377], [66.6402934955, 12.4788610007, 7.4767584377], [75.5697083075, 20.8311437736, 7.4767584377], [84.3501302148, 28.7946965147, 7.4767584377], [84.9947208658, 28.0332738082, 7.4767584377], [78.3312410826, 16.8515815611, 7.4767584377], [69.1485014005, 8.0008857770, 7.4767584377], [59.2936304543, 0.3859526016, 7.4767584377], [48.7084326467, -5.1379008975, 7.4767584377], [37.1619054951, -7.6851316458, 7.4767584377], [24.8828856821, -7.9305856419, 7.4767584377], [12.2166035420, -6.9439029250, 7.4767584377], [-0.4705620106, -5.2995812809, 7.4767584377], [-12.2389096666, -0.8672629405, 7.4767584377], [-12.1000000000, -0.0308238948, 12.5000000000], [-0.2645497289, -0.6437047827, 12.5000000000], [11.9344341747, -2.0394478393, 12.5000000000], [24.1355716448, -3.1850940591, 12.5000000000], [35.9774826150, -3.0476844366, 12.5000000000], [47.0987871087, -0.5942602689, 12.5000000000], [57.2529612666, 4.8188604946, 12.5000000000], [66.6402934955, 12.3209992750, 12.5000000000], [75.5697083075, 20.6732820479, 12.5000000000], [84.3501302148, 28.6368347890, 12.5000000000], [84.9947208658, 27.8754120825, 12.5000000000], [78.9262963850, 15.8362034527, 12.5000000000], [69.6943950981, 6.8684244385, 12.5000000000], [59.7331229699, -0.7606087627, 12.5000000000], [49.0531474556, -6.3026162734, 12.5000000000], [37.4155564369, -8.8699362381, 12.5000000000], [25.0438323598, -9.1444671741, 12.5000000000], [12.2780157076, -8.2035420741, 12.5000000000], [-0.5149535534, -6.4947077026, 12.5000000000], [-12.2389096666, -1.0251246662, 12.5000000000], [-12.1000000000, 0.1270378309, 17.5232415623], [-0.2645497289, -0.4858430570, 17.5232415623], [11.9344341747, -1.8815861136, 17.5232415623], [24.1355716448, -3.0272323334, 17.5232415623], [35.9774826150, -2.8898227109, 17.5232415623], [47.0987871087, -0.4363985431, 17.5232415623], [57.2529612666, 4.9767222203, 17.5232415623], [66.6402934955, 12.4788610007, 17.5232415623], [75.5697083075, 20.8311437736, 17.5232415623], [84.3501302148, 28.7946965147, 17.5232415623], [84.9947208658, 28.0332738082, 17.5232415623], [78.7634496000, 16.2287388054, 17.5232415623], [69.5450022043, 7.2930015653, 17.5232415623], [59.6128485300, -0.3321729292, 17.5232415623], [48.9588105122, -5.8692122925, 17.5232415623], [37.3461406360, -8.4310345089, 17.5232415623], [24.9997866233, -8.6976080565, 17.5232415623], [12.2612092466, -7.7441606233, 17.5232415623], [-0.5028050691, -6.0529812331, 17.5232415623], [-12.2389096666, -0.8672629405, 17.5232415623], [-12.1000000000, 0.6000000000, 22.5266586851], [-0.2645497289, -0.0128808879, 22.5266586851], [11.9344341747, -1.4086239445, 22.5266586851], [24.1355716448, -2.5542701643, 22.5266586851], [35.9774826150, -2.4168605418, 22.5266586851], [47.0987871087, 0.0365636260, 22.5266586851], [57.2529612666, 5.4496843894, 22.5266586851], [66.6402934955, 12.9518231698, 22.5266586851], [75.5697083075, 21.3041059427, 22.5266586851], [84.3501302148, 29.2676586838, 22.5266586851], [84.9947208658, 28.5062359773, 22.5266586851], [77.4852411417, 18.5436889190, 22.5266586851], [68.3723953242, 9.8594522949, 22.5266586851], [58.6687966940, 2.2645653588, 22.5266586851], [48.2183459157, -3.2334782825, 22.5266586851], [36.8012857663, -5.7521478605, 22.5266586851], [24.6540651349, -5.9562626915, 22.5266586851], [12.1292928529, -4.9045256155, 22.5266586851], [-0.4074498217, -3.3519227802, 22.5266586851], [-12.2389096666, -0.3943007714, 22.5266586851]]);
    translate(v = [5.0, 123.0, 12.5]) {
        rotate(a = 90, v = [103.5000000000, 69.1691761052]) {
            cylinder(d = 10, h = 127.185440606789);
        }
    }
}

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Re: No rendering when using difference

cacb
In reply to this post by seb.belese
On 29.10.2018 18:13, [hidden email] wrote:

> Hi,
>
> I am new to OpenSCAD, and I built a polyhedron which I can render with
> no problem.
>
>
> However, when I try to substract a cylinder from it, I can visualize it
> (F5), but not render it (F6): the resulting render is empty. I have seen
> some similar problems from other people, but usually when importing stl
> files. The code is below (sorry for the complexity, the shape of the
> polyhedron was generated from outside).
>
>
> Is there something wrong with the code? Do you encounter the same issue?
>

It seems to be OK in OpenSCAD 2018.01.02 on Windows. Maybe you are
running an older version?

Carsten Arnholm


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Re: No rendering when using difference

seb.belese
Thanks, you saved me a lot of time!

Stable version on Ubuntu is 2015.03-3. I installed the nightly build, and the issue is fixed.

Sébastien


De: "Carsten Arnholm" <[hidden email]>
À: [hidden email]
Envoyé: Lundi 29 Octobre 2018 20:50:41
Objet: Re: [OpenSCAD] No rendering when using difference

On 29.10.2018 18:13, [hidden email] wrote:

> Hi,
>
> I am new to OpenSCAD, and I built a polyhedron which I can render with
> no problem.
>
>
> However, when I try to substract a cylinder from it, I can visualize it
> (F5), but not render it (F6): the resulting render is empty. I have seen
> some similar problems from other people, but usually when importing stl
> files. The code is below (sorry for the complexity, the shape of the
> polyhedron was generated from outside).
>
>
> Is there something wrong with the code? Do you encounter the same issue?
>

It seems to be OK in OpenSCAD 2018.01.02 on Windows. Maybe you are
running an older version?

Carsten Arnholm


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Re: <DKIM> Re: No rendering when using difference

seb.belese
In reply to this post by thehans
Thanks for pointing out the cause of the issue. I did not realized that my algorithm was producing non-planar faces, but now i understand why.

Indeed fixed with the latest version, but I will switch to triangles.


De: "Hans L" <[hidden email]>
À: "OpenSCAD general discussion" <[hidden email]>
Envoyé: Lundi 29 Octobre 2018 19:26:21
Objet: <DKIM> Re: [OpenSCAD] No rendering when using difference

It looks like you are using quads for most of the polyhedron (except for the top and bottom faces), but it appears that quads on the end are not planar.
You should split these bits into triangles to avoid any issues like this.


With that being said, it does appear to render fine for me on Windows, using a dev snapshot 2018.06.01 (git 4455a12)


It does give a warning but seems to be able to handle working around it:

"PolySet has nonplanar faces. Attempting alternate construction"




On Mon, Oct 29, 2018 at 12:14 PM <[hidden email]> wrote:

Hi,

I am new to OpenSCAD, and I built a polyhedron which I can render with no problem.


However, when I try to substract a cylinder from it, I can visualize it (F5), but not render it (F6): the resulting render is empty. I have seen some similar problems from other people, but usually when importing stl files. The code is below (sorry for the complexity, the shape of the polyhedron was generated from outside).


Is there something wrong with the code? Do you encounter the same issue?


Thanks for any help,

Sébastien


difference() {
    polyhedron(faces = [[19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0], [0, 1, 21, 20], [1, 2, 22, 21], [2, 3, 23, 22], [3, 4, 24, 23], [4, 5, 25, 24], [5, 6, 26, 25], [6, 7, 27, 26], [7, 8, 28, 27], [8, 9, 29, 28], [9, 10, 30, 29], [10, 11, 31, 30], [11, 12, 32, 31], [12, 13, 33, 32], [13, 14, 34, 33], [14, 15, 35, 34], [15, 16, 36, 35], [16, 17, 37, 36], [17, 18, 38, 37], [18, 19, 39, 38], [19, 0, 20, 39], [20, 21, 41, 40], [21, 22, 42, 41], [22, 23, 43, 42], [23, 24, 44, 43], [24, 25, 45, 44], [25, 26, 46, 45], [26, 27, 47, 46], [27, 28, 48, 47], [28, 29, 49, 48], [29, 30, 50, 49], [30, 31, 51, 50], [31, 32, 52, 51], [32, 33, 53, 52], [33, 34, 54, 53], [34, 35, 55, 54], [35, 36, 56, 55], [36, 37, 57, 56], [37, 38, 58, 57], [38, 39, 59, 58], [39, 20, 40, 59], [40, 41, 61, 60], [41, 42, 62, 61], [42, 43, 63, 62], [43, 44, 64, 63], [44, 45, 65, 64], [45, 46, 66, 65], [46, 47, 67, 66], [47, 48, 68, 67], [48, 49, 69, 68], [49, 50, 70, 69], [50, 51, 71, 70], [51, 52, 72, 71], [52, 53, 73, 72], [53, 54, 74, 73], [54, 55, 75, 74], [55, 56, 76, 75], [56, 57, 77, 76], [57, 58, 78, 77], [58, 59, 79, 78], [59, 40, 60, 79], [60, 61, 81, 80], [61, 62, 82, 81], [62, 63, 83, 82], [63, 64, 84, 83], [64, 65, 85, 84], [65, 66, 86, 85], [66, 67, 87, 86], [67, 68, 88, 87], [68, 69, 89, 88], [69, 70, 90, 89], [70, 71, 91, 90], [71, 72, 92, 91], [72, 73, 93, 92], [73, 74, 94, 93], [74, 75, 95, 94], [75, 76, 96, 95], [76, 77, 97, 96], [77, 78, 98, 97], [78, 79, 99, 98], [79, 60, 80, 99], [80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99]], points = [[-12.1000000000, 0.6000000000, 2.4733413149], [-0.2645497289, -0.0128808879, 2.4733413149], [11.9344341747, -1.4086239445, 2.4733413149], [24.1355716448, -2.5542701643, 2.4733413149], [35.9774826150, -2.4168605418, 2.4733413149], [47.0987871087, 0.0365636260, 2.4733413149], [57.2529612666, 5.4496843894, 2.4733413149], [66.6402934955, 12.9518231698, 2.4733413149], [75.5697083075, 21.3041059427, 2.4733413149], [84.3501302148, 29.2676586838, 2.4733413149], [84.9947208658, 28.5062359773, 2.4733413149], [76.1429723223, 20.4779923324, 2.4733413149], [67.1410205492, 12.0578608568, 2.4733413149], [57.6774315256, 4.4947794099, 2.4733413149], [47.4407712304, -0.9623141489, 2.4733413149], [36.2291242397, -3.4356683946, 2.4733413149], [24.2910170177, -3.5741942466, 2.4733413149], [11.9907651653, -2.4192415160, 2.4733413149], [-0.3073156265, -1.0121603189, 2.4733413149], [-12.2389096666, -0.3943007714, 2.4733413149], [-12.1000000000, 0.1270378309, 7.4767584377], [-0.2645497289, -0.4858430570, 7.4767584377], [11.9344341747, -1.8815861136, 7.4767584377], [24.1355716448, -3.0272323334, 7.4767584377], [35.9774826150, -2.8898227109, 7.4767584377], [47.0987871087, -0.4363985431, 7.4767584377], [57.2529612666, 4.9767222203, 7.4767584377], [66.6402934955, 12.4788610007, 7.4767584377], [75.5697083075, 20.8311437736, 7.4767584377], [84.3501302148, 28.7946965147, 7.4767584377], [84.9947208658, 28.0332738082, 7.4767584377], [78.3312410826, 16.8515815611, 7.4767584377], [69.1485014005, 8.0008857770, 7.4767584377], [59.2936304543, 0.3859526016, 7.4767584377], [48.7084326467, -5.1379008975, 7.4767584377], [37.1619054951, -7.6851316458, 7.4767584377], [24.8828856821, -7.9305856419, 7.4767584377], [12.2166035420, -6.9439029250, 7.4767584377], [-0.4705620106, -5.2995812809, 7.4767584377], [-12.2389096666, -0.8672629405, 7.4767584377], [-12.1000000000, -0.0308238948, 12.5000000000], [-0.2645497289, -0.6437047827, 12.5000000000], [11.9344341747, -2.0394478393, 12.5000000000], [24.1355716448, -3.1850940591, 12.5000000000], [35.9774826150, -3.0476844366, 12.5000000000], [47.0987871087, -0.5942602689, 12.5000000000], [57.2529612666, 4.8188604946, 12.5000000000], [66.6402934955, 12.3209992750, 12.5000000000], [75.5697083075, 20.6732820479, 12.5000000000], [84.3501302148, 28.6368347890, 12.5000000000], [84.9947208658, 27.8754120825, 12.5000000000], [78.9262963850, 15.8362034527, 12.5000000000], [69.6943950981, 6.8684244385, 12.5000000000], [59.7331229699, -0.7606087627, 12.5000000000], [49.0531474556, -6.3026162734, 12.5000000000], [37.4155564369, -8.8699362381, 12.5000000000], [25.0438323598, -9.1444671741, 12.5000000000], [12.2780157076, -8.2035420741, 12.5000000000], [-0.5149535534, -6.4947077026, 12.5000000000], [-12.2389096666, -1.0251246662, 12.5000000000], [-12.1000000000, 0.1270378309, 17.5232415623], [-0.2645497289, -0.4858430570, 17.5232415623], [11.9344341747, -1.8815861136, 17.5232415623], [24.1355716448, -3.0272323334, 17.5232415623], [35.9774826150, -2.8898227109, 17.5232415623], [47.0987871087, -0.4363985431, 17.5232415623], [57.2529612666, 4.9767222203, 17.5232415623], [66.6402934955, 12.4788610007, 17.5232415623], [75.5697083075, 20.8311437736, 17.5232415623], [84.3501302148, 28.7946965147, 17.5232415623], [84.9947208658, 28.0332738082, 17.5232415623], [78.7634496000, 16.2287388054, 17.5232415623], [69.5450022043, 7.2930015653, 17.5232415623], [59.6128485300, -0.3321729292, 17.5232415623], [48.9588105122, -5.8692122925, 17.5232415623], [37.3461406360, -8.4310345089, 17.5232415623], [24.9997866233, -8.6976080565, 17.5232415623], [12.2612092466, -7.7441606233, 17.5232415623], [-0.5028050691, -6.0529812331, 17.5232415623], [-12.2389096666, -0.8672629405, 17.5232415623], [-12.1000000000, 0.6000000000, 22.5266586851], [-0.2645497289, -0.0128808879, 22.5266586851], [11.9344341747, -1.4086239445, 22.5266586851], [24.1355716448, -2.5542701643, 22.5266586851], [35.9774826150, -2.4168605418, 22.5266586851], [47.0987871087, 0.0365636260, 22.5266586851], [57.2529612666, 5.4496843894, 22.5266586851], [66.6402934955, 12.9518231698, 22.5266586851], [75.5697083075, 21.3041059427, 22.5266586851], [84.3501302148, 29.2676586838, 22.5266586851], [84.9947208658, 28.5062359773, 22.5266586851], [77.4852411417, 18.5436889190, 22.5266586851], [68.3723953242, 9.8594522949, 22.5266586851], [58.6687966940, 2.2645653588, 22.5266586851], [48.2183459157, -3.2334782825, 22.5266586851], [36.8012857663, -5.7521478605, 22.5266586851], [24.6540651349, -5.9562626915, 22.5266586851], [12.1292928529, -4.9045256155, 22.5266586851], [-0.4074498217, -3.3519227802, 22.5266586851], [-12.2389096666, -0.3943007714, 22.5266586851]]);
    translate(v = [5.0, 123.0, 12.5]) {
        rotate(a = 90, v = [103.5000000000, 69.1691761052]) {
            cylinder(d = 10, h = 127.185440606789);
        }
    }
}

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