# Creating a tube plot from external data with pgfplots and tikz

I have the following MWE

\documentclass[border=10pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{width=7cm,compat=1.8}
\usepackage{pgfplotstable}
\begin{document}
\begin{tikzpicture}

T1 T3 v11   v12 v13
0   0 0.66582 0.76 0.63
1   .000125 0.66582 0.76    0.63
2   .00025 0.66582  0.76    0.63
3   .000375 0.66582 0.76    0.63
4   .0005 0.66582   0.76    0.63
5   .000625 0.66582 0.76    0.63
6   .00075 0.66582  0.76    0.63
7   .000875 0.66582 0.76    0.63
8   .001 0.66582    0.76    0.63
9   .001125 0.66582 0.76    0.63
}\dummydata
\begin{axis}[
domain=-4:4,
samples y=0
]
{
\addplot3[mark = none, color = green] table [x =T1, y =T3, z=v11]
{\dummydata};
\addplot3[mark = none, color = red] table [x =T1, y =T3, z=v12]
{\dummydata};
\addplot3[mark = none, color = blue] table [x =T1, y =T3, z=v13]
{\dummydata};

}
\end{axis}
\end{tikzpicture}
\end{document}


with which I can create:

However, now what I am trying to do is to create a tube-like region around the solid-red line using the information (data) of solid-blue and -green, respectively. Such that final plot will be somehthing like this:

(You can ignore the gray-rectangular semi-transparent plane). Any help is appreciated.

Now as per @marmot suggestion, a more complicated data-set where I wish to achieve the tube-like area:

\documentclass[border=10pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{width=7cm,compat=1.8}
\usepackage{pgfplotstable}
\begin{document}
\begin{tikzpicture}

tm,xm,xmd,xpd,ym,ymd,ypd
0,0,0,0,0,0,0
0.04,0,0,0,0,0,0
0.08,0,0,0,0,0,0
0.12,0.34111,-2.4039,3.0861,-0.51786,-3.8303,2.7946
0.16,0.31078,-2.4179,3.0395,-0.54815,-3.9037,2.8074
0.2,0.32704,-2.4167,3.0707,-0.57982,-3.9058,2.7461
0.24,0.26665,-2.4367,2.97,-0.70117,-3.9647,2.5624
0.28,0.21992,-2.283,2.7228,-0.86952,-3.9877,2.2486
0.32,0.16058,-2.1158,2.437,-0.96921,-3.8313,1.8929
0.36,0.015983,-1.9724,2.0043,-1.0393,-3.6891,1.6105
0.4,-0.052178,-1.767,1.6626,-1.1558,-3.5265,1.2149
0.44,-0.12252,-1.5715,1.3265,-1.1154,-3.2262,0.99543
0.48,-0.15534,-1.3355,1.0248,-1.09,-2.9273,0.74723
0.52,-0.15089,-1.1588,0.85702,-1.0373,-2.7046,0.63006
0.56,-0.13807,-1.0788,0.80265,-0.96654,-2.4969,0.56384
0.6,-0.088093,-0.97758,0.80139,-0.90801,-2.3491,0.5331
0.64,-0.069781,-0.94086,0.80129,-0.89427,-2.3047,0.5162
0.68,-0.020531,-0.94687,0.90581,-0.818,-2.2231,0.58707
0.72,-0.027254,-0.96119,0.90668,-0.83075,-2.173,0.51149
0.76,-0.031288,-0.94815,0.88558,-0.82597,-2.2118,0.55987
0.8,-0.031409,-0.91782,0.855,-0.80136,-2.1164,0.51368
0.84,-0.063101,-0.84579,0.71959,-0.82437,-2.0932,0.44447
0.88,-0.09426,-0.80363,0.61511,-0.81774,-2.0294,0.39393
0.92,-0.12187,-0.71312,0.46938,-0.82512,-1.9138,0.26358
0.96,-0.13254,-0.63217,0.36709,-0.83908,-1.8382,0.16004
1,-0.12502,-0.64794,0.3979,-0.8046,-1.709,0.099775
1.04,-0.11963,-0.55243,0.31316,-0.8349,-1.6507,-0.019066
1.08,-0.1045,-0.58747,0.37847,-0.83788,-1.6403,-0.035508
1.12,-0.062444,-0.56731,0.44242,-0.78585,-1.4928,-0.078868
1.16,-0.079204,-0.6093,0.4509,-0.8005,-1.5141,-0.086878
1.2,-0.084476,-0.60549,0.43653,-0.80424,-1.5102,-0.098265
1.24,-0.082068,-0.5689,0.40476,-0.79587,-1.4862,-0.10553
1.28,-0.099081,-0.57148,0.37332,-0.78828,-1.4717,-0.1049
1.32,-0.13329,-0.60353,0.33696,-0.81407,-1.4543,-0.17382
1.36,-0.096508,-0.47577,0.28276,-0.78266,-1.4171,-0.14827
1.4,-0.14497,-0.56515,0.27521,-0.81147,-1.3793,-0.24363
1.44,-0.12127,-0.51149,0.26894,-0.78772,-1.3515,-0.22388
1.48,-0.1217,-0.51802,0.27463,-0.78803,-1.3051,-0.271
1.52,-0.12173,-0.51559,0.27214,-0.79021,-1.2825,-0.29787
1.56,-0.10114,-0.51495,0.31267,-0.77804,-1.2414,-0.31463
1.6,-0.1014,-0.50952,0.30672,-0.76874,-1.1943,-0.34319
1.64,-0.11196,-0.48854,0.26461,-0.7622,-1.1585,-0.36586
1.68,-0.053825,-0.4586,0.35095,-0.71589,-1.108,-0.32376
1.72,-0.078095,-0.43485,0.27866,-0.73016,-1.0662,-0.39413
1.76,-0.080373,-0.47621,0.31547,-0.72842,-1.1203,-0.33655
1.8,-0.039621,-0.40915,0.3299,-0.68146,-1.0132,-0.34977
1.84,-0.062119,-0.43261,0.30837,-0.69357,-1.0315,-0.35569
1.88,-0.057911,-0.41945,0.30363,-0.67735,-1.0079,-0.34684
1.92,-0.053722,-0.40234,0.29489,-0.67227,-0.95972,-0.38482
1.96,-0.065276,-0.39114,0.26058,-0.68735,-0.94931,-0.42539
2,-0.037894,-0.39006,0.31428,-0.66806,-0.90303,-0.43309
2.04,-0.036814,-0.31968,0.24605,-0.66693,-0.89665,-0.4372
2.08,-0.038017,-0.35327,0.27724,-0.67016,-0.9178,-0.42253
2.12,-0.0097459,-0.29652,0.27703,-0.64795,-0.86252,-0.43338
2.16,-0.017039,-0.3108,0.27673,-0.64223,-0.86004,-0.42443
2.2,-0.010354,-0.3032,0.28249,-0.63579,-0.8435,-0.42808
2.24,-0.0075316,-0.2807,0.26564,-0.61478,-0.78884,-0.44073
2.28,-0.011665,-0.31125,0.28792,-0.60756,-0.75897,-0.45614
2.32,-0.031825,-0.32928,0.26563,-0.6092,-0.71376,-0.50465
2.36,0.00065694,-0.29614,0.29746,-0.5606,-0.70139,-0.41982
2.4,0.0043591,-0.30116,0.30988,-0.55409,-0.65516,-0.45303
2.44,0.00056132,-0.32006,0.32119,-0.54239,-0.64429,-0.44049
2.48,0.0080039,-0.31491,0.33092,-0.54615,-0.64203,-0.45027
2.52,0.017543,-0.29376,0.32884,-0.54204,-0.62597,-0.45812
2.56,0.043735,-0.25843,0.3459,-0.52438,-0.58751,-0.46125
2.6,0.053718,-0.2384,0.34583,-0.49305,-0.52909,-0.45702
2.64,0.046364,-0.20966,0.30239,-0.47018,-0.53222,-0.40814
2.68,0.079327,-0.20243,0.36109,-0.37582,-0.40642,-0.34523
2.72,0.072251,-0.20886,0.35336,-0.34565,-0.38803,-0.30328
2.76,0.051764,-0.2224,0.32593,-0.323,-0.37129,-0.27472
2.8,0.049093,-0.22782,0.32601,-0.25679,-0.30908,-0.2045
2.84,0.038224,-0.23386,0.31031,-0.23561,-0.29658,-0.17464
2.88,0.02659,-0.27056,0.32374,-0.196,-0.29468,-0.097316
2.92,0.003124,-0.31375,0.32,-0.17749,-0.27682,-0.078165
2.96,-0.0018435,-0.29729,0.2936,-0.16058,-0.27943,-0.041725
3,-0.006709,-0.39879,0.38537,-0.15632,-0.21252,-0.10013
3.04,-0.033639,-0.35582,0.28854,-0.15892,-0.24118,-0.076667
3.08,-0.032483,-0.38838,0.32341,-0.14021,-0.18432,-0.096106
3.12,-0.029824,-0.36757,0.30792,-0.11038,-0.15382,-0.066938
3.16,-0.037045,-0.38856,0.31447,-0.095147,-0.16009,-0.030209
3.2,-0.05167,-0.40226,0.29892,-0.06759,-0.11908,-0.016101
3.24,-0.049338,-0.39622,0.29754,-0.051711,-0.123,0.019576
3.28,-0.042641,-0.37827,0.29299,-0.028917,-0.13901,0.081174
3.32,-0.087298,-0.44836,0.27376,-0.034339,-0.11291,0.044231
3.36,-0.063621,-0.40711,0.27987,-0.0035416,-0.16211,0.15503
3.4,-0.056421,-0.4119,0.29906,0.019537,-0.087551,0.12663
3.44,-0.075507,-0.46623,0.31522,-0.013768,-0.15164,0.1241
3.48,-0.063827,-0.44935,0.3217,0.0064244,-0.11088,0.12373
3.52,-0.063597,-0.45513,0.32794,0.011473,-0.076058,0.099004
3.56,-0.050908,-0.45053,0.34871,0.03448,-0.045832,0.11479
3.6,-0.033273,-0.46869,0.40214,0.050067,-0.015407,0.11554
3.64,-0.066905,-0.44499,0.31118,0.017897,-0.067961,0.10375
3.68,-0.046271,-0.48794,0.39539,0.033531,-0.069233,0.1363
3.72,-0.05138,-0.45257,0.34981,0.05112,-0.029063,0.1313
3.76,-0.070642,-0.49432,0.35304,0.014393,-0.11913,0.14792
3.8,-0.070007,-0.47799,0.33798,0.030181,-0.093617,0.15398
3.84,-0.078997,-0.47921,0.32122,0.0099555,-0.13733,0.15724
3.88,-0.064307,-0.46206,0.33344,0.011714,-0.11396,0.13738
3.92,-0.068079,-0.46893,0.33277,0.018777,-0.09173,0.12928
3.96,-0.053161,-0.42124,0.31492,0.01825,-0.099128,0.13563
4,-0.022433,-0.49323,0.44836,0.037708,-0.02134,0.096756
4.04,-0.033149,-0.45834,0.39204,0.04793,-0.032419,0.12828
4.08,-0.041493,-0.47415,0.39117,0.040858,-0.021069,0.10278
4.12,-0.057713,-0.46698,0.35155,0.039439,-0.042223,0.1211
4.16,-0.054769,-0.44338,0.33385,0.048358,-0.047295,0.14401
4.2,-0.063519,-0.46221,0.33517,0.038351,-0.041262,0.11796
4.24,-0.063892,-0.44782,0.32004,0.036186,-0.068824,0.1412
4.28,-0.056123,-0.40631,0.29407,0.0476,-0.064233,0.15943
4.32,-0.094136,-0.45608,0.2678,0.015395,-0.083746,0.11454
4.36,-0.073154,-0.4461,0.29979,0.030337,-0.14479,0.20547
4.4,-0.050985,-0.42611,0.32414,0.06799,-0.017188,0.15317
4.44,-0.069921,-0.47383,0.33399,0.056972,-0.075461,0.1894
4.48,-0.05228,-0.46064,0.35608,0.083086,-0.0056697,0.17184
4.52,-0.05134,-0.45118,0.3485,0.096423,0.0019748,0.19087
4.56,-0.052724,-0.46209,0.35664,0.086379,-0.011513,0.18427
4.6,-0.043504,-0.50302,0.41601,0.080933,-0.015713,0.17758
4.64,-0.084016,-0.46078,0.29275,0.036149,-0.07109,0.14339
4.68,-0.05337,-0.4727,0.36596,0.051233,-0.075305,0.17777
4.72,-0.047571,-0.43556,0.34042,0.058992,-0.021999,0.13998
4.76,-0.076011,-0.486,0.33398,0.020806,-0.10033,0.14194
4.8,-0.06046,-0.46313,0.34221,0.052942,-0.049416,0.1553
4.84,-0.063963,-0.48172,0.3538,0.046092,-0.050885,0.14307
4.88,-0.05335,-0.48394,0.37724,0.066777,-0.038134,0.17169
4.92,-0.056813,-0.49169,0.37807,0.079715,-0.030218,0.18965
4.96,-0.053435,-0.43036,0.32349,0.089452,-0.027211,0.20611
5,-0.053848,-0.52124,0.41355,0.10071,-0.0093193,0.21073
5.04,-0.083567,-0.50769,0.34056,0.073753,-0.090077,0.23758
5.08,-0.07258,-0.45966,0.3145,0.08868,-0.05089,0.22825
5.12,0.00084803,-0.39465,0.39635,0.048857,-0.12497,0.22269
5.16,0.13554,-0.27892,0.55001,0.041207,-0.12962,0.21203
5.2,0.40825,-0.069637,0.88613,0.050071,-0.1298,0.22994
5.24,0.67117,0.21572,1.1266,0.048443,-0.10058,0.19747
5.28,1.0633,0.45878,1.6678,0.090288,-0.08581,0.26638
5.32,1.4693,0.80123,2.1374,0.089672,-0.070362,0.24971
5.36,1.7759,1.0413,2.5104,0.11808,-0.08123,0.31739
5.4,2.2478,1.4725,3.0231,0.18277,0.021067,0.34448
5.44,2.6068,1.7448,3.4688,0.19036,0.0073643,0.37336
5.48,2.909,2.0545,3.7635,0.19718,0.0052129,0.38915
5.52,3.2663,2.3967,4.136,0.20015,0.031327,0.36896
5.56,3.5597,2.6781,4.4413,0.20717,0.042911,0.37144
6.76,6.4335,6.1771,6.6899,0.24583,0.11987,0.37179
6.8,6.4503,6.2052,6.6953,0.24771,0.12392,0.3715
6.84,6.4881,6.2321,6.7441,0.25109,0.13723,0.36495
6.88,6.5094,6.2602,6.7585,0.24703,0.13902,0.35503
6.92,6.5216,6.2973,6.7459,0.25129,0.16407,0.33851
6.96,6.5899,6.3593,6.8205,0.25022,0.14516,0.35527
7,6.6188,6.4196,6.818,0.24323,0.19472,0.29175
7.04,6.6412,6.3826,6.8998,0.23618,0.14959,0.32277
7.08,6.6917,6.412,6.9713,0.24519,0.18214,0.30823
7.12,6.7147,6.3912,7.0383,0.2398,0.18131,0.2983
7.16,6.7315,6.3803,7.0827,0.24463,0.15948,0.32977
7.2,6.7522,6.381,7.1235,0.26291,0.16465,0.36116
7.24,6.7502,6.3647,7.1358,0.25668,0.11773,0.39564
7.28,6.7824,6.4031,7.1617,0.28356,0.14323,0.42389
7.32,6.7894,6.4244,7.1545,0.27849,0.12083,0.43615
7.36,6.8157,6.4514,7.18,0.27862,0.10427,0.45297
7.4,6.8482,6.5263,7.1701,0.30119,0.14656,0.45583
7.44,6.8305,6.4684,7.1927,0.29605,0.14886,0.44324
7.48,6.8442,6.4659,7.2226,0.30386,0.15869,0.44903
7.52,6.8506,6.4286,7.2727,0.30484,0.15302,0.45666
7.56,6.8496,6.4125,7.2867,0.29756,0.1237,0.47142
7.6,6.8548,6.4366,7.273,0.25163,0.14919,0.35408
7.64,6.8741,6.4435,7.3046,0.1238,-0.039884,0.28748
7.68,6.8937,6.5022,7.2853,-0.017529,-0.14808,0.11302
7.72,6.9162,6.5359,7.2964,-0.32985,-0.48445,-0.17526
7.76,6.9465,6.5946,7.2984,-0.59723,-0.69643,-0.49803
7.8,6.9923,6.6637,7.3208,-0.97282,-1.171,-0.77466
7.84,7.0541,6.7295,7.3786,-1.4468,-1.6747,-1.219
7.88,7.0898,6.7545,7.425,-1.7771,-2.0199,-1.5343
7.92,7.1271,6.7552,7.4989,-2.2983,-2.5595,-2.037
7.96,7.1138,6.6874,7.5402,-2.7553,-3.1106,-2.4001
8,7.0718,6.6872,7.4564,-3.0869,-3.4405,-2.7333
8.04,7.0063,6.5691,7.4436,-3.5022,-3.8674,-3.137
8.08,6.9727,6.5442,7.4012,-3.7816,-4.1216,-3.4416
8.12,6.9554,6.5244,7.3865,-4.1073,-4.5071,-3.7075
8.16,6.9803,6.5929,7.3678,-4.4256,-4.8657,-3.9854
8.2,7.0041,6.6295,7.3787,-4.6424,-5.0375,-4.2473
8.24,7.0188,6.656,7.3815,-4.8274,-5.2412,-4.4135
8.28,7.0472,6.6968,7.3976,-4.9368,-5.2982,-4.5754
8.32,7.0483,6.6807,7.4159,-5.0095,-5.2984,-4.7206
8.36,7.0263,6.6358,7.4167,-5.0906,-5.3505,-4.8308
8.4,7.0195,6.6356,7.4033,-5.1708,-5.4009,-4.9407
8.44,7.0289,6.6191,7.4388,-5.2772,-5.501,-5.0533
8.48,7.063,6.661,7.465,-5.4327,-5.6855,-5.1798
8.52,7.0909,6.6867,7.4952,-5.5987,-5.8348,-5.3625
8.56,7.1166,6.6788,7.5543,-5.8046,-6.1261,-5.4831
8.6,7.121,6.6979,7.5442,-5.996,-6.3047,-5.6872
8.64,7.0953,6.5918,7.5989,-6.1159,-6.4159,-5.816
8.68,7.0522,6.5205,7.5838,-6.2303,-6.5434,-5.9173
8.72,6.9995,6.437,7.5621,-6.2855,-6.5682,-6.0027
8.76,6.9611,6.3757,7.5465,-6.3131,-6.5813,-6.0448
8.8,6.8916,6.2743,7.509,-6.3218,-6.5595,-6.084
8.84,6.8692,6.2553,7.4831,-6.3418,-6.5496,-6.1341
8.88,6.8868,6.2735,7.5001,-6.3578,-6.5522,-6.1634
8.92,6.9582,6.3996,7.5168,-6.4474,-6.674,-6.2209
8.96,7.0188,6.4351,7.6026,-6.5521,-6.8008,-6.3035
9,7.1062,6.5974,7.615,-6.6711,-6.9728,-6.3694
9.04,7.1562,6.6706,7.6418,-6.8161,-7.0907,-6.5415
9.08,7.1891,6.7355,7.6427,-6.8684,-7.0917,-6.645
9.12,7.1411,6.6381,7.6441,-6.88,-7.116,-6.644
9.16,7.052,6.4883,7.6156,-6.8336,-7.0969,-6.5704
9.2,6.9774,6.3824,7.5724,-6.7699,-7.0076,-6.5321
9.24,6.9156,6.3152,7.5159,-6.7387,-6.9156,-6.5618
9.28,6.9542,6.4245,7.4839,-6.7725,-7.0108,-6.5343
9.32,7.0016,6.4507,7.5526,-6.834,-7.1523,-6.5156
9.36,7.169,6.6666,7.6715,-6.9756,-7.3914,-6.5597
9.4,7.2619,6.7704,7.7534,-7.0933,-7.5018,-6.6848
9.44,7.3342,6.9428,7.7256,-7.2009,-7.5759,-6.826
9.48,7.3422,6.9404,7.744,-7.2382,-7.559,-6.9175
9.52,7.3034,6.8612,7.7456,-7.2004,-7.4885,-6.9124
9.56,7.1462,6.5482,7.7443,-7.1165,-7.3986,-6.8344
9.6,7.0407,6.5134,7.5681,-7.0325,-7.2877,-6.7773
9.64,6.9497,6.3851,7.5143,-6.971,-7.1549,-6.7871
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legend cell align={left},
]
{
\addplot3 [mark = none, color = blue] table [x =xm, y =ym, z=tm]
{\dummydata};
\addplot3 [mark = none, color = green] table [x =xmd, y =ymd, z=tm]
{\dummydata};
\addplot3 [mark = none, color = red] table [x =xpd, y =ypd, z=tm]
{\dummydata};
}
\end{axis}
\end{tikzpicture}
\end{document}


Which will give me:

Here considering the solid-blue as my center, and solid-green and -red as outer radii for the tube, I wish to achieve the tube-like region.

• What you could do is plot something like the top and bottom lines using \addplot3 then draw the circles (ellipses?) using regular tikz commands. The tricky bit is computing the x and y radii to scale. – John Kormylo Nov 30 '18 at 14:31
• @JohnKormylo I tried your comment even before posting here but to much of my expectations it was unsuccessful indeed. Because, exactly at the radius part, I could no longer move forward (I got literally lost, up till now). In addition, I could not successfully recreate the shaded region with gradients. – Raaja Nov 30 '18 at 14:48
• See tex.stackexchange.com/questions/228711/… for example. And you might need pgfplotstable to access the data. – John Kormylo Nov 30 '18 at 15:02
• I am not sure but believe that it would be a bit easier to draw this with tikz-3dplot. My main problem is, though, that I do not see how one would get the desired output from 3 parallel lines. Wouldn't one get a straight tube here? – marmot Nov 30 '18 at 15:04
• @Raaja, Asymptote is considered a TeX friend, it uses TeX internally and it integrates well with LaTeX. It is basically a programming language (just as TeX) for creating 2D and 3D scenes. You will see many Asymptote Q&A in this site. Also, there is an asy package to integrate Asymptote code in a LaTeX document. – alfC Dec 11 '18 at 9:09

This is not an answer but to illustrate why I do not know what to do with your data. Yes, it is simple, but unfortunately it is not really suited to test some nontrivial things. So the following may or may not work for some real data (most likely it won't but I do not have the patience to create some data).

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d}
\usepackage{pgfplotstable}
% from https://tex.stackexchange.com/a/445369/121799
\pgfplotstablegetelem{#2}{#3}\of{#1}%
\let#4\pgfplotsretval
}
\begin{document}

\tdplotsetmaincoords{60}{30}
\begin{tikzpicture}[tdplot_main_coords]
T1 T3 v11   v12 v13
0   0 0.66582 0.76 0.63
1   .000125 0.66582 0.76    0.63
2   .00025 0.66582  0.76    0.63
3   .000375 0.66582 0.76    0.63
4   .0005 0.66582   0.76    0.63
5   .000625 0.66582 0.76    0.63
6   .00075 0.66582  0.76    0.63
7   .000875 0.66582 0.76    0.63
8   .001 0.66582    0.76    0.63
9   .001125 0.66582 0.76    0.63
}\dummydata
\pgfplotstablegetrowsof{\dummydata}
\pgfmathtruncatemacro{\rownum}{\pgfplotsretval-1}
\foreach \X in {1,...,\rownum}
\typeout{\tmpx,\tmpy,\tmpz,\tmpRone}
\begin{scope}[canvas is yz plane at x=\tmpx,transform shape]
\node[draw,circle,minimum size=\tmpRone] (c-\X) at (\tmpy,\tmpz){};
\end{scope}
}
\draw plot[samples at={1,...,\rownum},variable=\x,smooth] (c-\x.80);
\draw plot[samples at={1,...,\rownum},variable=\x,smooth] (c-\x.-100);
\end{tikzpicture}
\end{document}


Here is a status report on the example with more complex data. The result is far from perfect. Even though one can achieve some features by cheating or some analytic computation or approximation, it always comes back to the fact that TikZ does not have a 3d engine.

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d,calc,backgrounds}
\usepackage{pgfplotstable}
% from https://tex.stackexchange.com/a/445369/121799
\pgfplotstablegetelem{#2}{#3}\of{#1}%
\let#4\pgfplotsretval
}
\begin{document}
tm,xm,xmd,xpd,ym,ymd,ypd
0,0,0,0,0,0,0
0.04,0,0,0,0,0,0
0.08,0,0,0,0,0,0
0.12,0.34111,-2.4039,3.0861,-0.51786,-3.8303,2.7946
0.16,0.31078,-2.4179,3.0395,-0.54815,-3.9037,2.8074
0.2,0.32704,-2.4167,3.0707,-0.57982,-3.9058,2.7461
0.24,0.26665,-2.4367,2.97,-0.70117,-3.9647,2.5624
0.28,0.21992,-2.283,2.7228,-0.86952,-3.9877,2.2486
0.32,0.16058,-2.1158,2.437,-0.96921,-3.8313,1.8929
0.36,0.015983,-1.9724,2.0043,-1.0393,-3.6891,1.6105
0.4,-0.052178,-1.767,1.6626,-1.1558,-3.5265,1.2149
0.44,-0.12252,-1.5715,1.3265,-1.1154,-3.2262,0.99543
0.48,-0.15534,-1.3355,1.0248,-1.09,-2.9273,0.74723
0.52,-0.15089,-1.1588,0.85702,-1.0373,-2.7046,0.63006
0.56,-0.13807,-1.0788,0.80265,-0.96654,-2.4969,0.56384
0.6,-0.088093,-0.97758,0.80139,-0.90801,-2.3491,0.5331
0.64,-0.069781,-0.94086,0.80129,-0.89427,-2.3047,0.5162
0.68,-0.020531,-0.94687,0.90581,-0.818,-2.2231,0.58707
0.72,-0.027254,-0.96119,0.90668,-0.83075,-2.173,0.51149
0.76,-0.031288,-0.94815,0.88558,-0.82597,-2.2118,0.55987
0.8,-0.031409,-0.91782,0.855,-0.80136,-2.1164,0.51368
0.84,-0.063101,-0.84579,0.71959,-0.82437,-2.0932,0.44447
0.88,-0.09426,-0.80363,0.61511,-0.81774,-2.0294,0.39393
0.92,-0.12187,-0.71312,0.46938,-0.82512,-1.9138,0.26358
0.96,-0.13254,-0.63217,0.36709,-0.83908,-1.8382,0.16004
1,-0.12502,-0.64794,0.3979,-0.8046,-1.709,0.099775
1.04,-0.11963,-0.55243,0.31316,-0.8349,-1.6507,-0.019066
1.08,-0.1045,-0.58747,0.37847,-0.83788,-1.6403,-0.035508
1.12,-0.062444,-0.56731,0.44242,-0.78585,-1.4928,-0.078868
1.16,-0.079204,-0.6093,0.4509,-0.8005,-1.5141,-0.086878
1.2,-0.084476,-0.60549,0.43653,-0.80424,-1.5102,-0.098265
1.24,-0.082068,-0.5689,0.40476,-0.79587,-1.4862,-0.10553
1.28,-0.099081,-0.57148,0.37332,-0.78828,-1.4717,-0.1049
1.32,-0.13329,-0.60353,0.33696,-0.81407,-1.4543,-0.17382
1.36,-0.096508,-0.47577,0.28276,-0.78266,-1.4171,-0.14827
1.4,-0.14497,-0.56515,0.27521,-0.81147,-1.3793,-0.24363
1.44,-0.12127,-0.51149,0.26894,-0.78772,-1.3515,-0.22388
1.48,-0.1217,-0.51802,0.27463,-0.78803,-1.3051,-0.271
1.52,-0.12173,-0.51559,0.27214,-0.79021,-1.2825,-0.29787
1.56,-0.10114,-0.51495,0.31267,-0.77804,-1.2414,-0.31463
1.6,-0.1014,-0.50952,0.30672,-0.76874,-1.1943,-0.34319
1.64,-0.11196,-0.48854,0.26461,-0.7622,-1.1585,-0.36586
1.68,-0.053825,-0.4586,0.35095,-0.71589,-1.108,-0.32376
1.72,-0.078095,-0.43485,0.27866,-0.73016,-1.0662,-0.39413
1.76,-0.080373,-0.47621,0.31547,-0.72842,-1.1203,-0.33655
1.8,-0.039621,-0.40915,0.3299,-0.68146,-1.0132,-0.34977
1.84,-0.062119,-0.43261,0.30837,-0.69357,-1.0315,-0.35569
1.88,-0.057911,-0.41945,0.30363,-0.67735,-1.0079,-0.34684
1.92,-0.053722,-0.40234,0.29489,-0.67227,-0.95972,-0.38482
1.96,-0.065276,-0.39114,0.26058,-0.68735,-0.94931,-0.42539
2,-0.037894,-0.39006,0.31428,-0.66806,-0.90303,-0.43309
2.04,-0.036814,-0.31968,0.24605,-0.66693,-0.89665,-0.4372
2.08,-0.038017,-0.35327,0.27724,-0.67016,-0.9178,-0.42253
2.12,-0.0097459,-0.29652,0.27703,-0.64795,-0.86252,-0.43338
2.16,-0.017039,-0.3108,0.27673,-0.64223,-0.86004,-0.42443
2.2,-0.010354,-0.3032,0.28249,-0.63579,-0.8435,-0.42808
2.24,-0.0075316,-0.2807,0.26564,-0.61478,-0.78884,-0.44073
2.28,-0.011665,-0.31125,0.28792,-0.60756,-0.75897,-0.45614
2.32,-0.031825,-0.32928,0.26563,-0.6092,-0.71376,-0.50465
2.36,0.00065694,-0.29614,0.29746,-0.5606,-0.70139,-0.41982
2.4,0.0043591,-0.30116,0.30988,-0.55409,-0.65516,-0.45303
2.44,0.00056132,-0.32006,0.32119,-0.54239,-0.64429,-0.44049
2.48,0.0080039,-0.31491,0.33092,-0.54615,-0.64203,-0.45027
2.52,0.017543,-0.29376,0.32884,-0.54204,-0.62597,-0.45812
2.56,0.043735,-0.25843,0.3459,-0.52438,-0.58751,-0.46125
2.6,0.053718,-0.2384,0.34583,-0.49305,-0.52909,-0.45702
2.64,0.046364,-0.20966,0.30239,-0.47018,-0.53222,-0.40814
2.68,0.079327,-0.20243,0.36109,-0.37582,-0.40642,-0.34523
2.72,0.072251,-0.20886,0.35336,-0.34565,-0.38803,-0.30328
2.76,0.051764,-0.2224,0.32593,-0.323,-0.37129,-0.27472
2.8,0.049093,-0.22782,0.32601,-0.25679,-0.30908,-0.2045
2.84,0.038224,-0.23386,0.31031,-0.23561,-0.29658,-0.17464
2.88,0.02659,-0.27056,0.32374,-0.196,-0.29468,-0.097316
2.92,0.003124,-0.31375,0.32,-0.17749,-0.27682,-0.078165
2.96,-0.0018435,-0.29729,0.2936,-0.16058,-0.27943,-0.041725
3,-0.006709,-0.39879,0.38537,-0.15632,-0.21252,-0.10013
3.04,-0.033639,-0.35582,0.28854,-0.15892,-0.24118,-0.076667
3.08,-0.032483,-0.38838,0.32341,-0.14021,-0.18432,-0.096106
3.12,-0.029824,-0.36757,0.30792,-0.11038,-0.15382,-0.066938
3.16,-0.037045,-0.38856,0.31447,-0.095147,-0.16009,-0.030209
3.2,-0.05167,-0.40226,0.29892,-0.06759,-0.11908,-0.016101
3.24,-0.049338,-0.39622,0.29754,-0.051711,-0.123,0.019576
3.28,-0.042641,-0.37827,0.29299,-0.028917,-0.13901,0.081174
3.32,-0.087298,-0.44836,0.27376,-0.034339,-0.11291,0.044231
3.36,-0.063621,-0.40711,0.27987,-0.0035416,-0.16211,0.15503
3.4,-0.056421,-0.4119,0.29906,0.019537,-0.087551,0.12663
3.44,-0.075507,-0.46623,0.31522,-0.013768,-0.15164,0.1241
3.48,-0.063827,-0.44935,0.3217,0.0064244,-0.11088,0.12373
3.52,-0.063597,-0.45513,0.32794,0.011473,-0.076058,0.099004
3.56,-0.050908,-0.45053,0.34871,0.03448,-0.045832,0.11479
3.6,-0.033273,-0.46869,0.40214,0.050067,-0.015407,0.11554
3.64,-0.066905,-0.44499,0.31118,0.017897,-0.067961,0.10375
3.68,-0.046271,-0.48794,0.39539,0.033531,-0.069233,0.1363
3.72,-0.05138,-0.45257,0.34981,0.05112,-0.029063,0.1313
3.76,-0.070642,-0.49432,0.35304,0.014393,-0.11913,0.14792
3.8,-0.070007,-0.47799,0.33798,0.030181,-0.093617,0.15398
3.84,-0.078997,-0.47921,0.32122,0.0099555,-0.13733,0.15724
3.88,-0.064307,-0.46206,0.33344,0.011714,-0.11396,0.13738
3.92,-0.068079,-0.46893,0.33277,0.018777,-0.09173,0.12928
3.96,-0.053161,-0.42124,0.31492,0.01825,-0.099128,0.13563
4,-0.022433,-0.49323,0.44836,0.037708,-0.02134,0.096756
4.04,-0.033149,-0.45834,0.39204,0.04793,-0.032419,0.12828
4.08,-0.041493,-0.47415,0.39117,0.040858,-0.021069,0.10278
4.12,-0.057713,-0.46698,0.35155,0.039439,-0.042223,0.1211
4.16,-0.054769,-0.44338,0.33385,0.048358,-0.047295,0.14401
4.2,-0.063519,-0.46221,0.33517,0.038351,-0.041262,0.11796
4.24,-0.063892,-0.44782,0.32004,0.036186,-0.068824,0.1412
4.28,-0.056123,-0.40631,0.29407,0.0476,-0.064233,0.15943
4.32,-0.094136,-0.45608,0.2678,0.015395,-0.083746,0.11454
4.36,-0.073154,-0.4461,0.29979,0.030337,-0.14479,0.20547
4.4,-0.050985,-0.42611,0.32414,0.06799,-0.017188,0.15317
4.44,-0.069921,-0.47383,0.33399,0.056972,-0.075461,0.1894
4.48,-0.05228,-0.46064,0.35608,0.083086,-0.0056697,0.17184
4.52,-0.05134,-0.45118,0.3485,0.096423,0.0019748,0.19087
4.56,-0.052724,-0.46209,0.35664,0.086379,-0.011513,0.18427
4.6,-0.043504,-0.50302,0.41601,0.080933,-0.015713,0.17758
4.64,-0.084016,-0.46078,0.29275,0.036149,-0.07109,0.14339
4.68,-0.05337,-0.4727,0.36596,0.051233,-0.075305,0.17777
4.72,-0.047571,-0.43556,0.34042,0.058992,-0.021999,0.13998
4.76,-0.076011,-0.486,0.33398,0.020806,-0.10033,0.14194
4.8,-0.06046,-0.46313,0.34221,0.052942,-0.049416,0.1553
4.84,-0.063963,-0.48172,0.3538,0.046092,-0.050885,0.14307
4.88,-0.05335,-0.48394,0.37724,0.066777,-0.038134,0.17169
4.92,-0.056813,-0.49169,0.37807,0.079715,-0.030218,0.18965
4.96,-0.053435,-0.43036,0.32349,0.089452,-0.027211,0.20611
5,-0.053848,-0.52124,0.41355,0.10071,-0.0093193,0.21073
5.04,-0.083567,-0.50769,0.34056,0.073753,-0.090077,0.23758
5.08,-0.07258,-0.45966,0.3145,0.08868,-0.05089,0.22825
5.12,0.00084803,-0.39465,0.39635,0.048857,-0.12497,0.22269
5.16,0.13554,-0.27892,0.55001,0.041207,-0.12962,0.21203
5.2,0.40825,-0.069637,0.88613,0.050071,-0.1298,0.22994
5.24,0.67117,0.21572,1.1266,0.048443,-0.10058,0.19747
5.28,1.0633,0.45878,1.6678,0.090288,-0.08581,0.26638
5.32,1.4693,0.80123,2.1374,0.089672,-0.070362,0.24971
5.36,1.7759,1.0413,2.5104,0.11808,-0.08123,0.31739
5.4,2.2478,1.4725,3.0231,0.18277,0.021067,0.34448
5.44,2.6068,1.7448,3.4688,0.19036,0.0073643,0.37336
5.48,2.909,2.0545,3.7635,0.19718,0.0052129,0.38915
5.52,3.2663,2.3967,4.136,0.20015,0.031327,0.36896
5.56,3.5597,2.6781,4.4413,0.20717,0.042911,0.37144
6.76,6.4335,6.1771,6.6899,0.24583,0.11987,0.37179
6.8,6.4503,6.2052,6.6953,0.24771,0.12392,0.3715
6.84,6.4881,6.2321,6.7441,0.25109,0.13723,0.36495
6.88,6.5094,6.2602,6.7585,0.24703,0.13902,0.35503
6.92,6.5216,6.2973,6.7459,0.25129,0.16407,0.33851
6.96,6.5899,6.3593,6.8205,0.25022,0.14516,0.35527
7,6.6188,6.4196,6.818,0.24323,0.19472,0.29175
7.04,6.6412,6.3826,6.8998,0.23618,0.14959,0.32277
7.08,6.6917,6.412,6.9713,0.24519,0.18214,0.30823
7.12,6.7147,6.3912,7.0383,0.2398,0.18131,0.2983
7.16,6.7315,6.3803,7.0827,0.24463,0.15948,0.32977
7.2,6.7522,6.381,7.1235,0.26291,0.16465,0.36116
7.24,6.7502,6.3647,7.1358,0.25668,0.11773,0.39564
7.28,6.7824,6.4031,7.1617,0.28356,0.14323,0.42389
7.32,6.7894,6.4244,7.1545,0.27849,0.12083,0.43615
7.36,6.8157,6.4514,7.18,0.27862,0.10427,0.45297
7.4,6.8482,6.5263,7.1701,0.30119,0.14656,0.45583
7.44,6.8305,6.4684,7.1927,0.29605,0.14886,0.44324
7.48,6.8442,6.4659,7.2226,0.30386,0.15869,0.44903
7.52,6.8506,6.4286,7.2727,0.30484,0.15302,0.45666
7.56,6.8496,6.4125,7.2867,0.29756,0.1237,0.47142
7.6,6.8548,6.4366,7.273,0.25163,0.14919,0.35408
7.64,6.8741,6.4435,7.3046,0.1238,-0.039884,0.28748
7.68,6.8937,6.5022,7.2853,-0.017529,-0.14808,0.11302
7.72,6.9162,6.5359,7.2964,-0.32985,-0.48445,-0.17526
7.76,6.9465,6.5946,7.2984,-0.59723,-0.69643,-0.49803
7.8,6.9923,6.6637,7.3208,-0.97282,-1.171,-0.77466
7.84,7.0541,6.7295,7.3786,-1.4468,-1.6747,-1.219
7.88,7.0898,6.7545,7.425,-1.7771,-2.0199,-1.5343
7.92,7.1271,6.7552,7.4989,-2.2983,-2.5595,-2.037
7.96,7.1138,6.6874,7.5402,-2.7553,-3.1106,-2.4001
8,7.0718,6.6872,7.4564,-3.0869,-3.4405,-2.7333
8.04,7.0063,6.5691,7.4436,-3.5022,-3.8674,-3.137
8.08,6.9727,6.5442,7.4012,-3.7816,-4.1216,-3.4416
8.12,6.9554,6.5244,7.3865,-4.1073,-4.5071,-3.7075
8.16,6.9803,6.5929,7.3678,-4.4256,-4.8657,-3.9854
8.2,7.0041,6.6295,7.3787,-4.6424,-5.0375,-4.2473
8.24,7.0188,6.656,7.3815,-4.8274,-5.2412,-4.4135
8.28,7.0472,6.6968,7.3976,-4.9368,-5.2982,-4.5754
8.32,7.0483,6.6807,7.4159,-5.0095,-5.2984,-4.7206
8.36,7.0263,6.6358,7.4167,-5.0906,-5.3505,-4.8308
8.4,7.0195,6.6356,7.4033,-5.1708,-5.4009,-4.9407
8.44,7.0289,6.6191,7.4388,-5.2772,-5.501,-5.0533
8.48,7.063,6.661,7.465,-5.4327,-5.6855,-5.1798
8.52,7.0909,6.6867,7.4952,-5.5987,-5.8348,-5.3625
8.56,7.1166,6.6788,7.5543,-5.8046,-6.1261,-5.4831
8.6,7.121,6.6979,7.5442,-5.996,-6.3047,-5.6872
8.64,7.0953,6.5918,7.5989,-6.1159,-6.4159,-5.816
8.68,7.0522,6.5205,7.5838,-6.2303,-6.5434,-5.9173
8.72,6.9995,6.437,7.5621,-6.2855,-6.5682,-6.0027
8.76,6.9611,6.3757,7.5465,-6.3131,-6.5813,-6.0448
8.8,6.8916,6.2743,7.509,-6.3218,-6.5595,-6.084
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20.08,4.6179,4.2308,5.0049,-5.2145,-5.6812,-4.7477
20.12,4.5253,4.15,4.9006,-5.1936,-5.6417,-4.7455
20.16,4.387,3.9901,4.7839,-5.1153,-5.5297,-4.7008
20.2,4.0763,3.6647,4.4879,-5.0668,-5.5119,-4.6217
20.24,3.839,3.5204,4.1576,-5.0116,-5.4439,-4.5793
20.28,3.589,3.2374,3.9406,-4.9881,-5.4315,-4.5447
20.32,3.3876,3.0685,3.7067,-4.9713,-5.4325,-4.51
}\dummydata
\tdplotsetmaincoords{60}{30}
\begin{tikzpicture}[tdplot_main_coords]
% global stuff
\begin{scope}[canvas is yz plane at x=0,transform shape]
\node[circle,minimum size=6pt](c-0)  at (0,0){};
\path let \p1=($(c-0.east)-(c-0.center)$),\n1={atan2(\y1,\x1)}
\end{scope}
\pgfplotstablegetrowsof{\dummydata}
\pgfmathtruncatemacro{\rownum}{\pgfplotsretval-1}
\foreach \X [remember=\X as \LastX] in {1,...,\rownum}
%\typeout{\tmpx,\tmpy,\tmpz,\tmpRone}
\begin{scope}[canvas is yz plane at x=\tmpx,transform shape]
\node[circle,minimum size=\tmpRone](c-\X)  at (\tmpy,\tmpz){};
\end{scope}
\ifnum\X=1
\else
\begin{scope}[on background layer]
\draw let \p1=($(c-\X.center)-(c-\LastX.center)$),
\p2=($(c-\X.north)-(c-\X.center)$), \p3=($(c-\X.east)-(c-\X.center)$),
\n1={atan2(\y1,\x1)},\n2={atan2(\y3,\x3)},\n3={\n1-2*\n2}
in \pgfextra{%\typeout{theta=\n1,\n2}
\xdef\lastang{\n3}}
(c-\X.\n3)
-- (c-\LastX.\n3) -- (c-\LastX.\n3+180)
-- (c-\X.\n3+180);
\end{scope}
\fi
\begin{scope}[canvas is yz plane at x=\tmpx,transform shape]
\node[circle,draw,minimum size=\tmpRone,