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I have a dataSet that I'm trying to sort choosing a starting point and going to its nearest neighbor, and then to its nearest neighbor and so on. To do so, I've written the following code (wich im sure is not optimal)

ordDataSet = NestList[With[{elem = Nearest[#[[1]], #[[2]]][[1]]}, 
    {Select[#[[1]], (# != elem &)], elem}] &, 
    {Delete[dataSet, {startIdx}], dataSet[[startIdx]]}, 300][[All,2]];

What the code does is given the starting point dataSet[[startIdx]] and the list Delete[dataSet,{startIdx}], uses Nearest to find the nearest neighbor elem, and return the pair {newDataSet,elem} where the new list is the original data set minus the starting point and the nearest neighbor. Then it nests.

At first glance this works very well, but for some reason, it starts misbehaving at some point. For the actual dataSet

dataSet ={{0,107.212,-166.757},{0,104.104,-164.502},{0,112.403,-150.885},
{0,115.978,-158.598},{0,105.259,-163.986},{0.00417,107.759,-166.45},
{0.00417,104.471,-164.266},{0.00417,107.026,-151.875},{0.00417,105.777,-163.744},
{0.00417,116.652,-158.168},{0.00833,108.316,-166.138},{0.00833,104.845,-164.025},
{0.00833,113.825,-150.301},{0.00833,117.3,-157.713},{0.00833,106.307,-163.497},
{0.0125,114.546,-150.},{0.0125,117.949,-157.25},{0.0125,105.226,-163.78},
{0.0125,108.883,-165.822},{0.0125,106.855,-163.25},{0.0167,118.582,-156.766},
{0.0167,109.459,-165.5},{0.0167,101.6,-140.503},{0.0167,115.272,-149.69},
{0.0167,107.423,-163.003},{0.0167,105.617,-163.531},{0.0208,110.046,-165.175},
{0.0208,108.007,-162.753},{0.0208,119.185,-156.256},{0.0208,106.019,-163.277},
{0.0250,119.72,-155.695},{0.0250,110.631,-164.839},{0.0250,106.428,-163.019},
{0.0250,116.72,-149.036},{0.0250,108.607,-162.502},{0.0292,120.192,-155.087},
{0.0292,111.232,-164.501},{0.0292,109.223,-162.248},{0.0292,117.451,-148.698},
{0.0292,106.845,-162.755},{0.0333,107.27,-162.487},{0.0333,117.414,-152.444},
{0.0333,118.18,-148.348},{0.0333,120.441,-154.333},{0.0333,111.84,-164.158},
{0.0375,110.494,-161.728},{0.0375,107.703,-162.214},{0.0375,118.904,-147.984},
{0.0375,112.455,-163.807},{0.0417,111.158,-161.467},{0.0417,119.618,-147.603},
{0.0417,113.078,-163.451},{0.0417,108.146,-161.937},{0.0458,108.595,-161.654},
{0.0458,113.709,-163.089},{0.0458,111.838,-161.204},{0.0500,112.534,-160.938},
{0.0500,112.654,-141.388},{0.0500,114.345,-162.72},{0.0500,109.044,-161.363},
{0.0500,112.524,-160.933},{0.0500,120.969,-146.763},{0.0542,113.234,-160.665},
{0.0542,121.605,-146.304},{0.0542,109.504,-161.068},{0.0583,109.975,-160.769},
{0.0583,122.156,-145.782},{0.0583,115.631,-161.958},{0.0583,100.877,-151.789},
{0.0583,115.968,-141.83},{0.0625,122.61,-145.19},{0.0625,116.281,-161.565},
{0.0625,110.451,-160.464},{0.0625,101.965,-151.715},{0.0625,114.685,-160.109},
{0.0667,110.933,-160.153},{0.0667,116.931,-161.162},{0.0667,115.445,-159.836},
{0.0667,122.707,-144.366},{0.0708,111.42,-159.836},{0.0708,117.583,-160.748},
{0.0708,104.149,-151.56},{0.0708,116.223,-159.561},{0.0750,111.913,-159.512},
{0.0750,117.022,-159.288},{0.0750,118.22,-160.316},{0.0750,105.254,-151.482},
{0.0792,118.863,-159.875},{0.0792,112.41,-159.182},{0.0792,117.82,-159.},
{0.0792,106.37,-151.402},{0.0833,107.494,-151.318},{0.0833,100.785,-147.01},
{0.0833,112.91,-158.844},{0.0833,119.491,-159.413},{0.0833,118.672,-158.738},
{0.0875,113.414,-158.499},{0.0875,119.579,-158.508},{0.0917,113.919,-158.146},
{0.0917,103.978,-147.28},{0.0958,114.425,-157.784},{0.100,114.93,-157.413},
{0.100,107.059,-147.566},{0.104,113.234,-150.814},{0.104,115.433,-157.031},
{0.108,115.932,-156.638},{0.113,116.423,-156.232},{0.113,101.498,-145.35},
{0.117,116.906,-155.813},{0.117,102.399,-145.22},{0.121,117.374,-155.376},
{0.121,103.297,-145.086},{0.125,117.826,-154.921},{0.125,104.183,-144.944},
{0.129,118.252,-154.444},{0.133,118.644,-153.937},{0.133,105.938,-144.636},
{0.138,118.996,-153.401},{0.138,106.801,-144.466},{0.142,119.308,-152.835},
{0.142,107.658,-144.286},{0.146,119.57,-152.235},{0.146,108.498,-144.09},
{0.150,109.328,-143.88},{0.150,119.787,-151.607},{0.154,119.966,-150.958},
{0.154,110.138,-143.652},{0.158,110.927,-143.404},{0.158,120.106,-150.289},
{0.163,120.211,-149.605},{0.163,111.689,-143.134},{0.167,120.259,-148.896},
{0.167,112.415,-142.835},{0.171,113.099,-142.506},{0.171,119.977,-147.999},
{0.175,120.277,-147.493},{0.175,113.727,-142.137},{0.179,120.589,-146.993},
{0.179,114.291,-141.726},{0.183,114.772,-141.264},{0.183,120.91,-146.499},
{0.188,115.167,-140.749},{0.188,121.239,-146.01},{0.192,121.576,-145.524},
{0.192,115.485,-140.189},{0.196,121.922,-145.041},{0.196,115.723,-139.584},
{0.200,122.274,-144.561},{0.200,115.898,-138.947},{0.204,122.634,-144.083},
{0.204,116.027,-138.288},{0.208,116.109,-137.61},{0.213,123.371,-143.131},
{0.213,116.16,-136.921},{0.217,116.162,-136.215},{0.217,123.739,-142.65},
{0.221,124.081,-142.15},{0.221,116.199,-135.54},{0.225,124.382,-141.622},
{0.225,115.642,-134.569},{0.229,124.612,-141.048},{0.229,115.929,-134.06},
{0.233,124.705,-140.391},{0.233,116.244,-133.565},{0.238,124.403,-139.499},
{0.238,116.576,-133.078},{0.242,116.922,-132.599},{0.242,120.971,-137.197},
{0.246,120.605,-136.819},{0.246,117.284,-132.126},{0.250,117.66,-131.659},
{0.250,120.585,-136.614},{0.254,120.676,-136.469},{0.254,118.049,-131.197},
{0.258,120.824,-136.357},{0.258,118.452,-130.74},{0.263,121.006,-136.266},
{0.263,118.869,-130.287},{0.267,121.211,-136.19},{0.267,119.287,-129.833},
{0.271,121.431,-136.125},{0.271,119.665,-129.354},{0.275,119.977,-128.839},
{0.275,121.662,-136.069},{0.279,121.901,-136.021},{0.279,120.191,-128.271},
{0.283,122.148,-135.978},{0.283,120.266,-127.633},{0.288,122.4,-135.941},
{0.288,120.148,-126.902},{0.292,122.655,-135.908},{0.292,119.772,-126.057},
{0.296,122.915,-135.88},{0.296,119.114,-125.106},{0.300,123.178,-135.855},
{0.300,118.23,-124.103},{0.304,123.442,-135.833},{0.304,117.299,-123.157},
{0.308,123.71,-135.815},{0.308,116.465,-122.334},{0.313,123.978,-135.799},
{0.313,115.785,-121.644},{0.317,115.25,-121.066},{0.317,124.249,-135.786},
{0.321,124.521,-135.776},{0.321,114.834,-120.578},{0.325,124.794,-135.768},
{0.325,114.516,-120.159},{0.329,125.068,-135.763},{0.329,114.275,-119.795},
{0.333,114.099,-119.476},{0.333,125.343,-135.759},{0.338,125.619,-135.759},
{0.338,113.974,-119.193},{0.342,125.902,-135.762},{0.342,113.892,-118.939},
{0.346,113.848,-118.71},{0.346,126.18,-135.766},{0.350,113.834,-118.503},
{0.350,126.46,-135.772},{0.354,113.847,-118.313},{0.354,126.739,-135.78},
{0.358,113.886,-118.14},{0.358,127.018,-135.79},{0.363,127.298,-135.802},
{0.363,113.943,-117.98},{0.367,127.579,-135.816},{0.367,114.018,-117.833},
{0.371,114.109,-117.695},{0.371,127.86,-135.832},{0.375,128.142,-135.85},
{0.375,114.215,-117.568},{0.379,128.424,-135.871},{0.379,114.333,-117.449},
{0.383,114.462,-117.338},{0.383,128.706,-135.893},{0.388,114.602,-117.233},
{0.388,128.989,-135.918},{0.392,114.75,-117.135},{0.392,129.272,-135.945},
{0.396,129.556,-135.975},{0.396,114.907,-117.043},{0.400,129.84,-136.006},
{0.400,115.07,-116.956},{0.404,115.241,-116.874},{0.404,130.124,-136.04},
{0.408,115.417,-116.796},{0.408,130.409,-136.077},{0.413,115.599,-116.723},
{0.413,130.694,-136.116},{0.417,115.785,-116.653},{0.417,130.979,-136.158},
{0.421,115.976,-116.588},{0.421,131.265,-136.202},{0.425,131.551,-136.249},
{0.425,116.17,-116.525},{0.429,116.368,-116.466},{0.429,131.837,-136.3},
{0.433,116.568,-116.41},{0.433,132.123,-136.353},{0.438,116.772,-116.357},
{0.438,132.41,-136.409},{0.442,116.977,-116.307},{0.442,132.697,-136.468},
{0.446,132.985,-136.531},{0.446,117.186,-116.259},{0.450,133.273,-136.597},
{0.450,117.395,-116.214},{0.454,133.56,-136.668},{0.454,117.606,-116.171},
{0.458,133.849,-136.742},{0.458,117.819,-116.131},{0.463,118.033,-116.093},
{0.463,134.137,-136.82},{0.467,118.247,-116.057},{0.467,134.426,-136.903},
{0.471,134.715,-136.991},{0.471,118.462,-116.024},{0.475,135.004,-137.085},
{0.475,118.678,-115.992},{0.479,135.294,-137.184},{0.479,118.895,-115.963},
{0.483,135.584,-137.29},{0.483,119.112,-115.936},{0.488,135.874,-137.402},
{0.488,119.328,-115.911},{0.492,136.164,-137.523},{0.492,119.544,-115.888},
{0.496,136.455,-137.654},{0.496,119.761,-115.868},{0.500,119.977,-115.849},
{0.500,136.746,-137.795},{0.504,120.193,-115.833},{0.504,137.038,-137.95},
{0.508,120.411,-115.819},{0.508,137.331,-138.12},{0.513,120.627,-115.807},
{0.513,137.625,-138.31},{0.517,137.922,-138.525},{0.517,120.839,-115.797},
{0.521,121.052,-115.789},{0.521,138.222,-138.775},{0.525,121.263,-115.784},
{0.525,143.043,-147.527},{0.525,138.528,-139.074},{0.529,121.473,-115.78},
{0.529,143.1,-147.916},{0.529,138.847,-139.456},{0.533,121.682,-115.779},
{0.533,143.082,-148.164},{0.533,139.204,-140.01},{0.533,140.401,-143.007},
{0.538,121.89,-115.781},{0.538,143.053,-148.367},{0.542,122.095,-115.784},
{0.542,143.011,-148.517},{0.546,122.3,-115.79},{0.546,142.974,-148.641},
{0.550,142.948,-148.745},{0.550,122.502,-115.799},{0.554,142.94,-148.841},
{0.554,122.701,-115.81},{0.558,142.942,-148.914},{0.558,122.898,-115.823},
{0.563,142.963,-148.976},{0.563,123.092,-115.84},{0.567,123.282,-115.858},
{0.567,143.003,-149.027},{0.571,143.063,-149.07},{0.571,123.468,-115.88},
{0.575,143.145,-149.11},{0.575,123.651,-115.904},{0.579,123.829,-115.931},
{0.579,143.247,-149.136},{0.583,124.002,-115.961},{0.583,143.37,-149.154},
{0.588,124.169,-115.995},{0.588,143.515,-149.166},{0.592,124.329,-116.031},
{0.592,143.684,-149.17},{0.596,143.873,-149.168},{0.596,124.481,-116.07},
{0.600,144.087,-149.16},{0.600,124.625,-116.112},{0.604,124.759,-116.158},
{0.604,144.324,-149.146},{0.608,124.882,-116.206},{0.608,144.583,-149.125},
{0.613,124.991,-116.258},{0.613,144.858,-149.102},{0.617,125.086,-116.313},
{0.617,145.161,-149.069},{0.621,125.164,-116.371},{0.621,145.489,-149.03},
{0.625,125.223,-116.432},{0.625,145.841,-148.985},{0.629,146.216,-148.934},
{0.629,125.261,-116.497},{0.633,146.612,-148.877},{0.633,125.276,-116.563},
{0.638,125.264,-116.632},{0.638,147.033,-148.814},{0.642,125.224,-116.704},
{0.642,147.477,-148.745},{0.646,125.154,-116.776},{0.646,147.943,-148.67},
{0.650,148.431,-148.588},{0.650,125.052,-116.849},{0.654,148.943,-148.5},
{0.654,124.918,-116.923},{0.658,149.477,-148.407},{0.658,124.752,-116.997},
{0.663,150.034,-148.306},{0.663,124.555,-117.069},{0.667,150.611,-148.198},
{0.667,124.329,-117.14},{0.671,124.075,-117.209},{0.671,151.211,-148.084},
{0.675,123.798,-117.275},{0.675,151.833,-147.964},{0.679,152.472,-147.835},
{0.679,123.499,-117.338},{0.683,123.183,-117.398},{0.683,153.136,-147.7},
{0.688,153.821,-147.558},{0.688,122.852,-117.456},{0.692,122.509,-117.51},
{0.692,154.527,-147.409},{0.696,122.155,-117.562},{0.696,155.25,-147.251},
{0.700,121.794,-117.61},{0.700,155.98,-147.08},{0.704,121.425,-117.656},
{0.704,156.746,-146.908},{0.708,121.052,-117.699},{0.708,157.531,-146.729},
{0.713,120.674,-117.74},{0.713,158.338,-146.542},{0.717,120.293,-117.778},
{0.717,159.164,-146.347},{0.721,119.91,-117.814},{0.721,160.011,-146.144},
{0.725,160.876,-145.933},{0.725,119.524,-117.849},{0.729,119.137,-117.881},
{0.729,161.759,-145.713},{0.733,138.983,-129.306},{0.733,132.82,-128.392},
{0.733,118.75,-117.911},{0.733,162.66,-145.485},{0.738,163.577,-145.247},
{0.738,118.362,-117.94},{0.738,141.38,-129.709},{0.738,131.315,-128.279},
{0.742,117.972,-117.967},{0.742,164.514,-145.},{0.742,130.272,-128.245},
{0.742,130.258,-128.242},{0.742,143.342,-130.024},{0.746,129.413,-128.244},
{0.746,117.583,-117.992},{0.746,145.14,-130.295},{0.750,117.193,-118.016},
{0.750,128.681,-128.269},{0.750,166.436,-144.478},{0.750,146.841,-130.531},
{0.754,148.513,-130.75},{0.754,128.023,-128.307},{0.754,167.422,-144.203},
{0.754,116.803,-118.039},{0.758,116.413,-118.06},{0.758,168.401,-143.906},
{0.758,127.418,-128.356},{0.758,150.161,-130.951},{0.758,100.035,-93.1424},
{0.763,126.853,-128.413},{0.763,169.419,-143.611},{0.763,116.023,-118.081},
{0.763,151.804,-131.137},{0.763,101.189,-93.1484},{0.767,115.633,-118.1},
{0.767,153.443,-131.308},{0.767,170.453,-143.306},{0.767,126.319,-128.477},
{0.771,125.809,-128.545},{0.771,171.502,-142.99},{0.771,115.243,-118.118},
{0.775,125.32,-128.618},{0.775,172.565,-142.664},{0.775,114.854,-118.136},
{0.775,104.853,-93.1614},{0.779,124.847,-128.694},{0.779,158.429,-131.756},
{0.779,173.641,-142.326},{0.779,114.465,-118.152},{0.779,106.142,-93.1641},
{0.783,124.389,-128.773},{0.783,160.12,-131.884},{0.783,114.076,-118.168},
{0.783,174.729,-141.976},{0.783,107.439,-93.1533},{0.788,161.832,-132.005},
{0.788,175.829,-141.614},{0.788,113.687,-118.184},{0.788,123.943,-128.854},
{0.792,123.508,-128.938},{0.792,113.299,-118.199},{0.792,163.566,-132.118},
{0.792,176.939,-141.239},{0.792,110.183,-93.1532},{0.796,123.082,-129.023},
{0.796,111.604,-93.1513},{0.796,178.059,-140.849},{0.796,112.911,-118.213},
{0.796,165.333,-132.228},{0.800,122.664,-129.109},{0.800,179.152,-140.426},
{0.800,112.522,-118.228},{0.800,167.121,-132.328},{0.800,113.059,-93.1484},
{0.804,122.253,-129.197},{0.804,180.284,-140.006},{0.804,112.134,-118.242},
{0.804,168.949,-132.43},{0.804,114.547,-93.1443},{0.808,116.067,-93.1385},
{0.808,121.849,-129.286},{0.808,111.747,-118.257},{0.808,181.418,-139.568},
{0.808,170.806,-132.527},{0.813,182.55,-139.11},{0.813,121.45,-129.376},
{0.813,172.714,-132.631},{0.813,111.36,-118.272},{0.817,174.666,-132.739},
{0.817,110.973,-118.287},{0.817,183.673,-138.627},{0.817,121.056,-129.466},
{0.817,119.203,-93.1213},{0.821,120.667,-129.558},{0.821,184.733,-138.086},
{0.821,110.587,-118.302},{0.821,176.687,-132.865},{0.821,120.818,-93.1095},
{0.825,110.2,-118.318},{0.825,120.282,-129.65},{0.825,185.8,-137.531},
{0.825,122.463,-93.095},{0.829,109.814,-118.335},{0.829,186.812,-136.925},
{0.829,119.9,-129.743},{0.829,124.138,-93.0775},{0.833,187.63,-136.179},
{0.833,109.428,-118.353},{0.833,119.522,-129.836},{0.833,125.841,-93.0562},
{0.833,101.434,-76.7516},{0.833,183.346,-133.463},{0.838,109.043,-118.371},
{0.838,119.147,-129.929},{0.838,127.53,-93.0084},{0.838,188.095,-135.196},
{0.838,186.301,-134.068},{0.838,103.785,-77.2176},{0.842,118.774,-130.023},
{0.842,108.657,-118.391},{0.842,129.287,-92.978},{0.846,108.272,-118.412},
{0.846,108.625,-78.1698},{0.846,118.404,-130.118},{0.850,118.036,-130.212},
{0.850,107.886,-118.434},{0.850,132.878,-92.9027},{0.854,117.67,-130.308},
{0.854,134.71,-92.8557},{0.854,113.665,-79.1537},{0.854,107.502,-118.459},
{0.858,107.117,-118.485},{0.858,117.305,-130.403},{0.858,116.271,-79.6627},
{0.863,116.942,-130.499},{0.863,118.94,-80.1854},{0.863,106.733,-118.513},
{0.863,138.437,-92.7383},{0.867,116.581,-130.595},{0.867,106.35,-118.543},
{0.867,121.666,-80.7181},{0.871,116.22,-130.692},{0.871,105.966,-118.576},
{0.871,142.17,-92.5433},{0.875,105.583,-118.611},{0.875,144.07,-92.4357},
{0.875,115.861,-130.789},{0.875,127.349,-81.8495},{0.879,105.2,-118.649},
{0.879,115.502,-130.886},{0.879,145.973,-92.3099},{0.883,115.144,-130.984},
{0.883,104.818,-118.69},{0.883,133.39,-83.0948},{0.888,149.743,-91.9766},
{0.888,114.786,-131.082},{0.888,104.437,-118.735},{0.888,136.58,-83.7813},
{0.892,151.488,-91.6963},{0.892,104.056,-118.783},{0.892,114.429,-131.182},
{0.896,114.072,-131.281},{0.896,153.213,-91.3845},{0.896,103.676,-118.834},
{0.900,113.714,-131.382},{0.900,103.296,-118.889},{0.900,154.775,-90.9557},
{0.904,155.686,-90.1154},{0.904,102.917,-118.948},{0.904,113.357,-131.483},
{0.908,102.54,-119.011},{0.908,113.,-131.585},{0.913,112.642,-131.687},
{0.913,102.163,-119.078},{0.917,101.787,-119.149},{0.917,112.284,-131.791},
{0.921,111.926,-131.895},{0.921,101.412,-119.225},{0.925,111.566,-132.001},
{0.925,101.038,-119.305},{0.929,111.206,-132.108},{0.929,100.666,-119.39},
{0.933,110.845,-132.216},{0.933,100.294,-119.479},{0.938,110.483,-132.326},
{0.942,110.12,-132.437},{0.946,109.756,-132.55},{0.950,109.392,-132.665},
{0.954,109.025,-132.781},{0.958,108.657,-132.9},{0.963,108.288,-133.02},
{0.967,107.917,-133.143},{0.971,107.545,-133.268},{0.975,107.171,-133.396},
{0.979,106.797,-133.527},{0.983,106.42,-133.66},{0.988,106.043,-133.796},
{0.992,105.664,-133.936},{0.996,105.284,-134.078},{1.00,104.903,-134.225}};

Here is a 3d representation of the dataSet

enter image description here

Starting the code at the last point of dataSet

ordDataSet = NestList[With[{elem = Nearest[#[[1]], #[[2]]][[1]]}, 
    {Select[#[[1]], (# != elem &)], elem}] &, 
    {Delete[dataSet, {-1}], dataSet[[-1]]}, 300][[All, 2]];

works very well, until step 243 where everithing goes bad (sorry for the huge gif)

enter image description here

Looking at the 3d plot, is clear that the nearest neighbor is ordDataSet[[245]], but manually calculating the distance confirms that the nearest point is ordDataSet[[244]].

What is wrong then, my code, the displayed plot or the calculation of the Norm?


EDIT

Kuba wrote

I hope I have not missed the point but the problem is you are probably using BoxRatios->1 which can affect the judgement.

I tried to see this before posting, but using AspectRatio instead of BoxRatio. Lucky for me, the small dimension plays a crucial role in connectendness, and it should be rescaled to wiegth as much as the yz coordinates.

Rescaling the data:

rescDataSet = MapAt[100# &, dataSet, {All,1}];

rescOrdDataSet = NestList[With[{elem = Nearest[#[[1]], #[[2]]][[1]]}, 
     {Select[#[[1]], (# != elem &)], elem}] &, 
     {Delete[scaledDataSet, {-1}], scaledDataSet[[-1]]}, 300][[All, 2]];

everithing goes as expected:

enter image description here

Thank you very much Kuba!

share|improve this question
2  
Might also find useful approaches to this here –  Daniel Lichtblau Apr 24 at 19:40
    
@DanielLichtblau Thank you for your comment. It will be very useful, as I need to find tons of this type of curves. –  Pragabhava Apr 24 at 19:53
    
If they have many points, you can get a good speed improvement by first finding, for all points, the two closest neighbors. Any point that is claimed as a nearest by exactly two others, each of which it claims as a neighbor, can be removed from further consideration (you definitely have its neighbors). This should leave relatively few to tidy up. Caveat: unlike some of the approaches in the link I sent, this will not prevent "branch jumping" when distinct curve segments pass near one another, within the granularity of the point separations. –  Daniel Lichtblau Apr 24 at 21:56
    
@DanielLichtblau I tried to do that, but I wasn't able to prevent the path from going backwards or enter a loop. Then I started to drift from my objective, and since the lists are not that big, I gave up. I'll give the link you recommended a good read and if I come up with a simple solution, I'll edit the code accordingly. –  Pragabhava Apr 25 at 17:07
    
The thing with the loop and all is that most pointe therein will still be correct. It's just the entering/exiting ones and some close neighbors that are likely to need repair. Re "objective drift", probably serves you right for going to xkcd, the addictiveness of which is a well-studied phenomenom. –  Daniel Lichtblau Apr 25 at 18:51

1 Answer 1

up vote 4 down vote accepted

I hope I have not missed the point but the problem is you are probably using BoxRatios->1 which can affect the judgement. With Automatic it is ok:

Manipulator[Dynamic@n, {2, Length@ordDataSet, 1}]

Graphics3D[{Point@dataSet, Green,Dynamic@Point@ordDataSet[[;; n]]}, 
 BoxRatios -> Automatic, ViewVertical -> {0, 0, 1}, 
 ViewPoint -> {1, 0, 0}]

enter image description here

share|improve this answer
    
I was afraid something like that was happening. The small coordinate is somehow a dummy coordinate, which means I can rescale it at will. I tried to look for this possibility before posting with AspectRato; as always, the bug is in my head. Thank you very much for the answer. I've edited the question to address the problem. –  Pragabhava Apr 24 at 19:48

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