11
$\begingroup$

I have a huge list of Lines. Take this one as an example:

linelist1 = {Line[{{0.150, 0.099}, {0.151, 0.095}}], Line[{{0.149, 0.104}, {0.150, 0.099}}], Line[{{0.151, 0.095}, {0.152, 0.090}}], Line[{{0.149, 0.108}, {0.149, 0.104}}], Line[{{0.149, 0.114}, {0.149, 0.108}}], Line[{{0.152, 0.090}, {0.154, 0.087}}], Line[{{0.154, 0.087}, {0.157, 0.083}}], Line[{{0.157, 0.083}, {0.159, 0.080}}], Line[{{0.149, 0.119}, {0.149, 0.114}}], Line[{{0.149, 0.125}, {0.149, 0.119}}], Line[{{0.150, 0.132}, {0.150, 0.130}}], Line[{{0.150, 0.130}, {0.149, 0.125}}], Line[{{0.151, 0.136}, {0.150, 0.132}}], Line[{{0.162, 0.079}, {0.167, 0.076}}], Line[{{0.159, 0.080}, {0.162, 0.079}}], Line[{{0.167, 0.076}, {0.171, 0.076}}], Line[{{0.171, 0.076}, {0.179, 0.075}}], Line[{{0.152, 0.144}, {0.152, 0.141}}], Line[{{0.152, 0.141}, {0.151, 0.136}}], Line[{{0.154, 0.153}, {0.153, 0.148}}], Line[{{0.153, 0.148}, {0.152, 0.144}}], Line[{{0.154, 0.170}, {0.154, 0.153}}], Line[{{0.179, 0.075}, {0.184, 0.076}}], Line[{{0.184, 0.076}, {0.195, 0.079}}], Line[{{0.195, 0.079}, {0.202, 0.082}}], Line[{{0.202, 0.082}, {0.217, 0.089}}], Line[{{0.151, 0.182}, {0.151, 0.180}}], Line[{{0.151, 0.180}, {0.154, 0.170}}], Line[{{0.149, 0.193}, {0.151, 0.182}}], Line[{{0.149, 0.195}, {0.149, 0.193}}], Line[{{0.148, 0.204}, {0.149, 0.195}}], Line[{{0.147, 0.208}, {0.147, 0.206}}], Line[{{0.147, 0.219}, {0.147, 0.208}}], Line[{{0.147, 0.206}, {0.148, 0.204}}], Line[{{0.147, 0.220}, {0.147, 0.219}}], Line[{{0.147, 0.223}, {0.147, 0.220}}], Line[{{0.147, 0.235}, {0.147, 0.234}}], Line[{{0.147, 0.248}, {0.147, 0.235}}], Line[{{0.147, 0.234}, {0.147, 0.223}}], Line[{{0.217, 0.089}, {0.226, 0.094}}], Line[{{0.237, 0.102}, {0.246, 0.107}}], Line[{{0.236, 0.101}, {0.237, 0.102}}], Line[{{0.226, 0.094}, {0.236, 0.101}}], Line[{{0.246, 0.107}, {0.258, 0.115}}], Line[{{0.270, 0.126}, {0.283, 0.135}}], Line[{{0.258, 0.115}, {0.270, 0.126}}], Line[{{0.283, 0.135}, {0.297, 0.147}}], Line[{{0.147, 0.249}, {0.147, 0.248}}], Line[{{0.147, 0.251}, {0.147, 0.249}}], Line[{{0.149, 0.263}, {0.147, 0.251}}], Line[{{0.149, 0.265}, {0.149, 0.263}}], Line[{{0.149, 0.266}, {0.149, 0.265}}], Line[{{0.151, 0.278}, {0.149, 0.266}}], Line[{{0.151, 0.280}, {0.151, 0.278}}], Line[{{0.151, 0.281}, {0.151, 0.280}}], Line[{{0.154, 0.295}, {0.151, 0.281}}], Line[{{0.154, 0.296}, {0.154, 0.295}}], Line[{{0.154, 0.297}, {0.154, 0.296}}], Line[{{0.157, 0.310}, {0.154, 0.297}}], Line[{{0.158, 0.311}, {0.157, 0.310}}], Line[{{0.158, 0.312}, {0.158, 0.311}}], Line[{{0.162, 0.326}, {0.158, 0.312}}], Line[{{0.162, 0.327}, {0.162, 0.326}}], Line[{{0.167, 0.342}, {0.162, 0.327}}], Line[{{0.297, 0.147}, {0.312, 0.161}}], Line[{{0.312, 0.161}, {0.327, 0.175}}], Line[{{0.168, 0.343}, {0.167, 0.342}}], Line[{{0.167, 0.342}, {0.167, 0.342}}], Line[{{0.174, 0.358}, {0.173, 0.357}}], Line[{{0.173, 0.357}, {0.168, 0.343}}], Line[{{0.180, 0.372}, {0.174, 0.358}}], Line[{{0.180, 0.372}, {0.180, 0.372}}], Line[{{0.188, 0.386}, {0.180, 0.372}}], Line[{{0.188, 0.386}, {0.188, 0.386}}], Line[{{0.196, 0.399}, {0.188, 0.386}}], Line[{{0.196, 0.399}, {0.196, 0.399}}], Line[{{0.205, 0.412}, {0.196, 0.399}}], Line[{{0.205, 0.412}, {0.205, 0.412}}], Line[{{0.214, 0.423}, {0.205, 0.412}}], Line[{{0.215, 0.424}, {0.214, 0.423}}], Line[{{0.214, 0.423}, {0.214, 0.423}}], Line[{{0.224, 0.434}, {0.224, 0.434}}], Line[{{0.225, 0.435}, {0.224, 0.434}}], Line[{{0.224, 0.434}, {0.215, 0.424}}], Line[{{0.236, 0.445}, {0.235, 0.444}}], Line[{{0.235, 0.444}, {0.234, 0.444}}], Line[{{0.234, 0.444}, {0.225, 0.435}}], Line[{{0.245, 0.452}, {0.236, 0.445}}], Line[{{0.247, 0.454}, {0.246, 0.453}}], Line[{{0.246, 0.453}, {0.245, 0.452}}], Line[{{0.257, 0.460}, {0.247, 0.454}}], Line[{{0.258, 0.462}, {0.257, 0.461}}], Line[{{0.257, 0.461}, {0.257, 0.460}}], Line[{{0.271, 0.469}, {0.270, 0.469}}], Line[{{0.270, 0.469}, {0.269, 0.468}}], Line[{{0.269, 0.468}, {0.258, 0.462}}], Line[{{0.282, 0.475}, {0.281, 0.474}}], Line[{{0.283, 0.475}, {0.282, 0.475}}], Line[{{0.292, 0.480}, {0.283, 0.475}}], Line[{{0.281, 0.474}, {0.271, 0.469}}], Line[{{0.296, 0.481}, {0.295, 0.481}}], Line[{{0.293, 0.480}, {0.292, 0.480}}], Line[{{0.295, 0.481}, {0.293, 0.480}}], Line[{{0.307, 0.485}, {0.305, 0.485}}], Line[{{0.308, 0.485}, {0.307, 0.485}}], Line[{{0.305, 0.485}, {0.296, 0.481}}], Line[{{0.320, 0.489}, {0.318, 0.489}}], Line[{{0.330, 0.492}, {0.320, 0.489}}], Line[{{0.318, 0.489}, {0.308, 0.485}}], Line[{{0.327, 0.175}, {0.343, 0.190}}], Line[{{0.343, 0.190}, {0.358, 0.207}}], Line[{{0.358, 0.207}, {0.375, 0.224}}], Line[{{0.391, 0.241}, {0.405, 0.260}}], Line[{{0.405, 0.260}, {0.421, 0.278}}], Line[{{0.375, 0.224}, {0.391, 0.241}}], Line[{{0.421, 0.278}, {0.436, 0.296}}], Line[{{0.436, 0.296}, {0.448, 0.315}}], Line[{{0.448, 0.315}, {0.459, 0.331}}], Line[{{0.459, 0.331}, {0.471, 0.348}}], Line[{{0.332, 0.492}, {0.331, 0.492}}], Line[{{0.331, 0.492}, {0.330, 0.492}}], Line[{{0.343, 0.494}, {0.332, 0.492}}], Line[{{0.354, 0.495}, {0.344, 0.494}}], Line[{{0.344, 0.494}, {0.343, 0.494}}], Line[{{0.355, 0.496}, {0.354, 0.495}}], Line[{{0.356, 0.495}, {0.355, 0.496}}], Line[{{0.471, 0.348}, {0.480, 0.364}}], Line[{{0.486, 0.376}, {0.494, 0.390}}], Line[{{0.480, 0.364}, {0.486, 0.376}}], Line[{{0.494, 0.390}, {0.500, 0.403}}], Line[{{0.367, 0.496}, {0.366, 0.496}}], Line[{{0.366, 0.496}, {0.356, 0.495}}], Line[{{0.377, 0.496}, {0.377, 0.496}}], Line[{{0.387, 0.495}, {0.377, 0.496}}], Line[{{0.377, 0.496}, {0.367, 0.496}}], Line[{{0.387, 0.495}, {0.387, 0.495}}], Line[{{0.396, 0.493}, {0.387, 0.495}}], Line[{{0.397, 0.493}, {0.396, 0.493}}], Line[{{0.405, 0.490}, {0.397, 0.493}}], Line[{{0.405, 0.490}, {0.405, 0.490}}], Line[{{0.413, 0.487}, {0.405, 0.490}}], Line[{{0.413, 0.487}, {0.413, 0.487}}], Line[{{0.500, 0.403}, {0.502, 0.413}}], Line[{{0.504, 0.420}, {0.507, 0.429}}], Line[{{0.502, 0.413}, {0.504, 0.420}}], Line[{{0.427, 0.478}, {0.420, 0.483}}], Line[{{0.420, 0.483}, {0.413, 0.487}}], Line[{{0.432, 0.472}, {0.427, 0.478}}], Line[{{0.433, 0.472}, {0.432, 0.472}}], Line[{{0.437, 0.465}, {0.433, 0.472}}], Line[{{0.507, 0.429}, {0.507, 0.436}}], Line[{{0.507, 0.436}, {0.504, 0.444}}], Line[{{0.477, 0.451}, {0.473, 0.450}}], Line[{{0.473, 0.450}, {0.437, 0.465}}], Line[{{0.504, 0.444}, {0.502, 0.448}}], Line[{{0.483, 0.452}, {0.477, 0.451}}], Line[{{0.502, 0.448}, {0.499, 0.451}}], Line[{{0.489, 0.453}, {0.483, 0.452}}], Line[{{0.499, 0.451}, {0.493, 0.452}}], Line[{{0.493, 0.452}, {0.489, 0.453}}]};

Here's what it looks like graphically:

Graphics@linelist1

enter image description here

The problem I'm trying to solve is that I want to make this line dashed. However, if I do it right now, the line segments are all so small that the dashing doesn't work for most of it:

Graphics@{Dashed, linelist1}

enter image description here

Here's a semi-solution I've tried:

Boundary2SingleLine[inBd_] := (
  pts = Flatten[inBd[[All, 1]], 1];
  orderedpts = First@FindCurvePath@pts;
  Return@Line[pts[[orderedpts]]];
  )
Graphics@{Dashed, Boundary2SingleLine@linelist1}

enter image description here

Lookin good! However, if I do it with this set of lines:

linelist2={Line[{{0.217, 0.171}, {0.217, 0.166}}], Line[{{0.217, 0.166}, {0.218, 0.161}}], Line[{{0.218, 0.176}, {0.217, 0.171}}], Line[{{0.218, 0.177}, {0.218, 0.176}}], Line[{{0.220, 0.157}, {0.220, 0.156}}], Line[{{0.218, 0.161}, {0.220, 0.157}}], Line[{{0.218, 0.178}, {0.218, 0.177}}], Line[{{0.219, 0.182}, {0.218, 0.178}}], Line[{{0.219, 0.183}, {0.219, 0.182}}], Line[{{0.220, 0.186}, {0.219, 0.184}}], Line[{{0.219, 0.184}, {0.219, 0.183}}], Line[{{0.220, 0.189}, {0.220, 0.186}}], Line[{{0.222, 0.196}, {0.221, 0.192}}], Line[{{0.221, 0.192}, {0.220, 0.189}}], Line[{{0.220, 0.156}, {0.223, 0.152}}], Line[{{0.223, 0.152}, {0.228, 0.147}}], Line[{{0.234, 0.143}, {0.240, 0.141}}], Line[{{0.228, 0.147}, {0.234, 0.143}}], Line[{{0.223, 0.199}, {0.222, 0.196}}], Line[{{0.224, 0.202}, {0.223, 0.199}}], Line[{{0.225, 0.206}, {0.224, 0.202}}], Line[{{0.227, 0.213}, {0.226, 0.209}}], Line[{{0.229, 0.217}, {0.227, 0.213}}], Line[{{0.226, 0.209}, {0.225, 0.206}}], Line[{{0.230, 0.220}, {0.229, 0.217}}], Line[{{0.231, 0.224}, {0.230, 0.220}}], Line[{{0.232, 0.227}, {0.231, 0.224}}], Line[{{0.234, 0.234}, {0.232, 0.227}}], Line[{{0.235, 0.237}, {0.234, 0.234}}], Line[{{0.237, 0.243}, {0.235, 0.237}}], Line[{{0.240, 0.141}, {0.243, 0.140}}], Line[{{0.243, 0.140}, {0.250, 0.138}}], Line[{{0.250, 0.138}, {0.254, 0.138}}], Line[{{0.254, 0.138}, {0.263, 0.138}}], Line[{{0.263, 0.138}, {0.268, 0.138}}], Line[{{0.268, 0.138}, {0.278, 0.138}}], Line[{{0.239, 0.246}, {0.237, 0.243}}], Line[{{0.239, 0.248}, {0.239, 0.246}}], Line[{{0.240, 0.251}, {0.239, 0.248}}], Line[{{0.243, 0.259}, {0.242, 0.256}}], Line[{{0.245, 0.263}, {0.243, 0.259}}], Line[{{0.242, 0.256}, {0.240, 0.251}}], Line[{{0.248, 0.269}, {0.247, 0.267}}], Line[{{0.250, 0.273}, {0.248, 0.269}}], Line[{{0.247, 0.267}, {0.245, 0.263}}], Line[{{0.253, 0.281}, {0.252, 0.278}}], Line[{{0.252, 0.278}, {0.250, 0.273}}], Line[{{0.240, 0.335}, {0.253, 0.281}}], Line[{{0.278, 0.138}, {0.285, 0.140}}], Line[{{0.285, 0.140}, {0.296, 0.141}}], Line[{{0.296, 0.141}, {0.304, 0.144}}], Line[{{0.304, 0.144}, {0.316, 0.147}}], Line[{{0.316, 0.147}, {0.326, 0.150}}], Line[{{0.326, 0.150}, {0.338, 0.155}}], Line[{{0.338, 0.155}, {0.350, 0.160}}], Line[{{0.239, 0.336}, {0.240, 0.335}}], Line[{{0.239, 0.336}, {0.239, 0.336}}], Line[{{0.240, 0.337}, {0.239, 0.336}}], Line[{{0.242, 0.338}, {0.240, 0.337}}], Line[{{0.244, 0.339}, {0.242, 0.338}}], Line[{{0.248, 0.340}, {0.244, 0.339}}], Line[{{0.252, 0.341}, {0.248, 0.340}}], Line[{{0.257, 0.342}, {0.256, 0.342}}], Line[{{0.256, 0.342}, {0.252, 0.341}}], Line[{{0.262, 0.343}, {0.257, 0.342}}], Line[{{0.266, 0.343}, {0.262, 0.343}}], Line[{{0.295, 0.363}, {0.266, 0.343}}], Line[{{0.297, 0.366}, {0.295, 0.363}}], Line[{{0.299, 0.369}, {0.297, 0.366}}], Line[{{0.301, 0.373}, {0.299, 0.369}}], Line[{{0.303, 0.377}, {0.301, 0.373}}], Line[{{0.305, 0.381}, {0.303, 0.377}}], Line[{{0.307, 0.384}, {0.305, 0.381}}], Line[{{0.309, 0.389}, {0.307, 0.384}}], Line[{{0.311, 0.393}, {0.309, 0.389}}], Line[{{0.314, 0.397}, {0.311, 0.393}}], Line[{{0.316, 0.400}, {0.314, 0.397}}], Line[{{0.318, 0.404}, {0.316, 0.400}}], Line[{{0.321, 0.408}, {0.318, 0.404}}], Line[{{0.323, 0.412}, {0.321, 0.408}}], Line[{{0.325, 0.416}, {0.323, 0.412}}], Line[{{0.328, 0.420}, {0.325, 0.416}}], Line[{{0.330, 0.424}, {0.328, 0.420}}], Line[{{0.333, 0.428}, {0.330, 0.424}}], Line[{{0.335, 0.431}, {0.333, 0.428}}], Line[{{0.338, 0.436}, {0.335, 0.431}}], Line[{{0.340, 0.439}, {0.338, 0.436}}], Line[{{0.350, 0.160}, {0.362, 0.166}}], Line[{{0.362, 0.166}, {0.375, 0.172}}], Line[{{0.375, 0.172}, {0.386, 0.179}}], Line[{{0.386, 0.179}, {0.389, 0.181}}], Line[{{0.401, 0.188}, {0.411, 0.195}}], Line[{{0.389, 0.181}, {0.401, 0.188}}], Line[{{0.411, 0.195}, {0.415, 0.198}}], Line[{{0.415, 0.198}, {0.426, 0.205}}], Line[{{0.426, 0.205}, {0.440, 0.216}}], Line[{{0.440, 0.216}, {0.449, 0.224}}], Line[{{0.449, 0.224}, {0.454, 0.228}}], Line[{{0.454, 0.228}, {0.463, 0.236}}], Line[{{0.463, 0.236}, {0.471, 0.245}}], Line[{{0.475, 0.249}, {0.483, 0.257}}], Line[{{0.471, 0.245}, {0.475, 0.249}}], Line[{{0.483, 0.257}, {0.516, 0.272}}], Line[{{0.516, 0.272}, {0.524, 0.272}}], Line[{{0.550, 0.275}, {0.573, 0.280}}], Line[{{0.573, 0.280}, {0.586, 0.282}}], Line[{{0.524, 0.272}, {0.550, 0.275}}], Line[{{0.586, 0.282}, {0.610, 0.287}}], Line[{{0.610, 0.287}, {0.624, 0.295}}], Line[{{0.624, 0.295}, {0.636, 0.300}}], Line[{{0.636, 0.300}, {0.641, 0.309}}], Line[{{0.641, 0.309}, {0.640, 0.317}}], Line[{{0.640, 0.317}, {0.633, 0.326}}], Line[{{0.633, 0.326}, {0.619, 0.333}}], Line[{{0.619, 0.333}, {0.600, 0.341}}], Line[{{0.600, 0.341}, {0.583, 0.347}}], Line[{{0.343, 0.443}, {0.340, 0.439}}], Line[{{0.345, 0.446}, {0.343, 0.443}}], Line[{{0.348, 0.450}, {0.345, 0.446}}], Line[{{0.350, 0.454}, {0.348, 0.450}}], Line[{{0.353, 0.457}, {0.350, 0.454}}], Line[{{0.355, 0.460}, {0.353, 0.457}}], Line[{{0.358, 0.464}, {0.355, 0.460}}], Line[{{0.360, 0.466}, {0.358, 0.464}}], Line[{{0.363, 0.470}, {0.360, 0.466}}], Line[{{0.583, 0.347}, {0.541, 0.385}}], Line[{{0.541, 0.385}, {0.540, 0.392}}], Line[{{0.540, 0.392}, {0.539, 0.401}}], Line[{{0.368, 0.475}, {0.366, 0.473}}], Line[{{0.370, 0.478}, {0.368, 0.475}}], Line[{{0.366, 0.473}, {0.363, 0.470}}], Line[{{0.373, 0.481}, {0.370, 0.478}}], Line[{{0.375, 0.483}, {0.373, 0.481}}], Line[{{0.378, 0.485}, {0.375, 0.483}}], Line[{{0.381, 0.488}, {0.378, 0.485}}], Line[{{0.383, 0.490}, {0.381, 0.488}}], Line[{{0.385, 0.491}, {0.383, 0.490}}], Line[{{0.388, 0.494}, {0.385, 0.491}}], Line[{{0.392, 0.497}, {0.390, 0.495}}], Line[{{0.390, 0.495}, {0.388, 0.494}}], Line[{{0.395, 0.498}, {0.392, 0.497}}], Line[{{0.397, 0.500}, {0.395, 0.498}}], Line[{{0.399, 0.500}, {0.397, 0.500}}], Line[{{0.402, 0.501}, {0.399, 0.500}}], Line[{{0.539, 0.401}, {0.538, 0.407}}], Line[{{0.538, 0.407}, {0.536, 0.414}}], Line[{{0.536, 0.414}, {0.534, 0.420}}], Line[{{0.534, 0.420}, {0.532, 0.426}}], Line[{{0.532, 0.426}, {0.529, 0.432}}], Line[{{0.529, 0.432}, {0.526, 0.437}}], Line[{{0.526, 0.437}, {0.522, 0.443}}], Line[{{0.522, 0.443}, {0.519, 0.447}}], Line[{{0.519, 0.447}, {0.515, 0.452}}], Line[{{0.404, 0.502}, {0.402, 0.501}}], Line[{{0.406, 0.503}, {0.404, 0.502}}], Line[{{0.409, 0.503}, {0.406, 0.503}}], Line[{{0.411, 0.504}, {0.409, 0.503}}], Line[{{0.415, 0.504}, {0.411, 0.504}}], Line[{{0.421, 0.503}, {0.417, 0.504}}], Line[{{0.417, 0.504}, {0.415, 0.504}}], Line[{{0.423, 0.503}, {0.421, 0.503}}], Line[{{0.427, 0.501}, {0.423, 0.503}}], Line[{{0.428, 0.500}, {0.427, 0.501}}], Line[{{0.432, 0.498}, {0.428, 0.500}}], Line[{{0.515, 0.452}, {0.511, 0.455}}], Line[{{0.506, 0.459}, {0.502, 0.462}}], Line[{{0.511, 0.455}, {0.506, 0.459}}], Line[{{0.502, 0.462}, {0.497, 0.465}}], Line[{{0.433, 0.496}, {0.432, 0.498}}], Line[{{0.438, 0.492}, {0.437, 0.493}}], Line[{{0.437, 0.493}, {0.433, 0.496}}], Line[{{0.442, 0.488}, {0.438, 0.492}}], Line[{{0.493, 0.467}, {0.487, 0.470}}], Line[{{0.497, 0.465}, {0.493, 0.467}}], Line[{{0.487, 0.470}, {0.481, 0.472}}], Line[{{0.481, 0.472}, {0.477, 0.473}}], Line[{{0.470, 0.474}, {0.467, 0.475}}], Line[{{0.477, 0.473}, {0.470, 0.474}}], Line[{{0.467, 0.475}, {0.442, 0.488}}]}

It fails and only gets part of it:

Graphics@{Red, linelist2, Thickness -> .008, Black, Dashed, 
  Boundary2SingleLine@linelist2}

enter image description here

I figured out that for some reason FindCurvePaths is returning 2 lists in this case:

pts = Flatten[linelist2[[All, 1]], 1];
fcp = FindCurvePath@pts
Graphics@{Red, Line[pts[[fcp[[1]]]]], Blue, Line[pts[[fcp[[2]]]]]}

enter image description here

At this point I could manually finagle a way to attach these two lists, but I really have no guarantee it'll work generally, and I'm guessing this is an unnecessarily complicated solution anyway.

What's an easier way of doing this?

edit: Thank you for any advice. However, please show a solution working with the second example set of lines, as I already have a solution that works with the first.

edit: Here is @Michael E2's solution, which works on the second example:

Boundary2SingleLine[inBd_] := (
  gr = Graph[inBd /. Line[List[v__]] :> UndirectedEdge[v]];
  cycle = First@FindHamiltonianCycle[gr, 1];
  Return@Line[Append[cycle[[All, 1]], cycle[[-1, 2]]]];
  )
Graphics@{Dashing[.01], Boundary2SingleLine@linelist2}

enter image description here

|improve this question
$\endgroup$
  • $\begingroup$ Why don't you edit your post in such a way that makes it easy to get to the information that is needed to help. $\endgroup$ – user21 Jul 8 '16 at 19:14
  • $\begingroup$ @user21, sorry if it isn't clear, but what do you mean? The 2nd example? If so, I tried to include it in the main body but the input area said I reached the character limit. $\endgroup$ – YungHummmma Jul 8 '16 at 19:17
  • $\begingroup$ You put a huge list of line in the text that you are not really interested in but the one you are interested in a link. In other words the not important data is more prominent that the important one. $\endgroup$ – user21 Jul 8 '16 at 19:34
  • 3
    $\begingroup$ Why include the first example at all? And why have you copied one of the answers into the question? $\endgroup$ – Simon Woods Jul 8 '16 at 20:06
  • 2
    $\begingroup$ In my opinion it would be sufficient just to state that Boundary2SingleLine works fine when FindCurvePath returns a single list. If you want to show the details then yes, I think you should put the working data in the link and the problem data in the post. $\endgroup$ – Simon Woods Jul 8 '16 at 21:17
14
$\begingroup$

Here's a graph-based solution:

gr = Graph[linelist1 /. Line[List[v__]] :> UndirectedEdge[v]];
cycle = First@FindHamiltonianCycle[gr, 1];
Graphics[{Dashing[0.01], Line[Append[cycle[[All, 1]], cycle[[-1, 2]]]]}]

Mathematica graphics

|improve this answer
$\endgroup$
  • $\begingroup$ Excellent, this works great on the 2nd example! $\endgroup$ – YungHummmma Jul 8 '16 at 19:16
6
$\begingroup$ 
linelist1 = {Line[{{0.15042300130733277`, 
      0.09918669845167598`}, {0.15124668865085406`, 0.09522452324491057`}}], 
   Line[{{0.14961629841942972`, 0.10444571885174352`}, {0.15042300130733277`, 
      0.09918669845167598`}}], 
   Line[{{0.15124668865085406`, 0.09522452324491057`}, {0.15296330904994523`, 
      0.09071834061461313`}}], 
   Line[{{0.14933067532583966`, 0.10873463230613303`}, {0.14961629841942972`, 
      0.10444571885174352`}}], 
   Line[{{0.1492065391252379`, 0.11459136282769972`}, {0.14933067532583966`, 
      0.10873463230613303`}}], 
   Line[{{0.15296330904994523`, 0.09071834061461313`}, {0.15443233429278366`, 
      0.08720754178169458`}}], 
   Line[{{0.15443233429278366`, 0.08720754178169458`}, {0.15738657618834503`, 
      0.0837116800119704`}}], 
   Line[{{0.15738657618834503`, 0.0837116800119704`}, {0.1596507357294199`, 
      0.08081800622081214`}}], 
   Line[{{0.14938185651096897`, 0.11910808435898695`}, {0.1492065391252379`, 
      0.11459136282769972`}}], 
   Line[{{0.14978835086914977`, 0.1254736636010152`}, {0.14938185651096897`, 
      0.11910808435898695`}}], 
   Line[{{0.15077460730814868`, 0.1327981842766949`}, {0.15036790182308324`, 
      0.13013455437855134`}}], 
   Line[{{0.15036790182308324`, 0.13013455437855134`}, {0.14978835086914977`, 
      0.1254736636010152`}}], 
   Line[{{0.15120855329817068`, 0.13696037633048153`}, {0.15077460730814868`, 
      0.1327981842766949`}}], 
   Line[{{0.16277911871721887`, 0.07929367135576196`}, {0.16756504304577993`, 
      0.07669208018087739`}}], 
   Line[{{0.1596507357294199`, 0.08081800622081214`}, {0.16277911871721887`, 
      0.07929367135576196`}}], 
   Line[{{0.16756504304577993`, 0.07669208018087739`}, {0.17179084853507678`, 
      0.07624695124973005`}}], 
   Line[{{0.17179084853507678`, 0.07624695124973005`}, {0.17906280098426666`, 
      0.07576450311212397`}}], 
   Line[{{0.15257273308627697`, 0.14470958676131765`}, {0.15214869088284963`, 
      0.14169046682959874`}}], 
   Line[{{0.15214869088284963`, 0.14169046682959874`}, {0.15120855329817068`, 
      0.13696037633048153`}}], 
   Line[{{0.154380363176796`, 0.15329508718925586`}, {0.15336715187177208`, 
      0.14894978414339125`}}], 
   Line[{{0.15336715187177208`, 0.14894978414339125`}, {0.15257273308627697`, 
      0.14470958676131765`}}], 
   Line[{{0.15408201484170664`, 0.17090212421388687`}, {0.154380363176796`, 
      0.15329508718925586`}}], 
   Line[{{0.17906280098426666`, 0.07576450311212397`}, {0.1846655098267246`, 
      0.07675733142107073`}}], 
   Line[{{0.1846655098267246`, 0.07675733142107073`}, {0.19526513101961043`, 
      0.07935442585321775`}}], 
   Line[{{0.19526513101961043`, 0.07935442585321775`}, {0.2025793721147758`, 
      0.08225275130107908`}}], 
   Line[{{0.2025793721147758`, 0.08225275130107908`}, {0.2174515369686099`, 
      0.0892027606755095`}}], 
   Line[{{0.15130771769953516`, 0.18272337857024754`}, {0.15175791747769907`, 
      0.1805607558081054`}}], 
   Line[{{0.15175791747769907`, 0.1805607558081054`}, {0.15408201484170664`, 
      0.17090212421388687`}}], 
   Line[{{0.14947523641765`, 0.19324727078363216`}, {0.15130771769953516`, 
      0.18272337857024754`}}], 
   Line[{{0.14922075255141615`, 0.195421957699875`}, {0.14947523641765`, 
      0.19324727078363216`}}], 
   Line[{{0.14830703464564116`, 0.20491305790082923`}, {0.14922075255141615`, 
      0.195421957699875`}}], 
   Line[{{0.14786378115799406`, 0.20890778773289803`}, {0.14791166732629607`, 
      0.20675668855532706`}}], 
   Line[{{0.1473023145442782`, 0.21917015209603855`}, {0.14786378115799406`, 
      0.20890778773289803`}}], 
   Line[{{0.14791166732629607`, 0.20675668855532706`}, {0.14830703464564116`, 
      0.20491305790082923`}}], 
   Line[{{0.1471112448868429`, 0.22098660364789832`}, {0.1473023145442782`, 
      0.21917015209603855`}}], 
   Line[{{0.14727721615276837`, 0.22307805371953965`}, {0.1471112448868429`, 
      0.22098660364789832`}}], 
   Line[{{0.1471140525731194`, 0.23582182314046962`}, {0.14709509899938097`, 
      0.23406594386910806`}}], 
   Line[{{0.14783588435291467`, 0.24801241612439603`}, {0.1471140525731194`, 
      0.23582182314046962`}}], 
   Line[{{0.14709509899938097`, 0.23406594386910806`}, {0.14727721615276837`, 
      0.22307805371953965`}}], 
   Line[{{0.2174515369686099`, 0.0892027606755095`}, {0.22682413867491788`, 
      0.09457182622878016`}}], 
   Line[{{0.23712928145996623`, 0.10232063183487138`}, {0.2468063966900775`, 
      0.10735408035037859`}}], 
   Line[{{0.23617311839755725`, 0.10167498697856284`}, {0.23712928145996623`, 
      0.10232063183487138`}}], 
   Line[{{0.22682413867491788`, 0.09457182622878016`}, {0.23617311839755725`, 
      0.10167498697856284`}}], 
   Line[{{0.2468063966900775`, 0.10735408035037859`}, {0.258487721590078`, 
      0.1157776125601875`}}], 
   Line[{{0.2708808482807588`, 0.12670886782426`}, {0.28387897498993575`, 
      0.13571165906064925`}}], 
   Line[{{0.258487721590078`, 0.1157776125601875`}, {0.2708808482807588`, 
      0.12670886782426`}}], 
   Line[{{0.28387897498993575`, 0.13571165906064925`}, {0.2978272217864588`, 
      0.14759488720466138`}}], 
   Line[{{0.1477234246451498`, 0.24947273784932386`}, {0.14783588435291467`, 
      0.24801241612439603`}}], 
   Line[{{0.1479541145674177`, 0.2511362254380753`}, {0.1477234246451498`, 
      0.24947273784932386`}}], 
   Line[{{0.1491240645508071`, 0.26387991264561694`}, {0.1479541145674177`, 
      0.2511362254380753`}}], 
   Line[{{0.14921751200149097`, 0.2652532987421324`}, {0.1491240645508071`, 
      0.26387991264561694`}}], 
   Line[{{0.14965754343046883`, 0.2667953281098005`}, {0.14921751200149097`, 
      0.2652532987421324`}}], 
   Line[{{0.151331525973231`, 0.2788746216617924`}, {0.14965754343046883`, 
      0.2667953281098005`}}], 
   Line[{{0.1513023469154561`, 0.28000225496294356`}, {0.151331525973231`, 
      0.2788746216617924`}}], 
   Line[{{0.15159808750593176`, 0.28126407977451784`}, {0.1513023469154561`, 
      0.28000225496294356`}}], 
   Line[{{0.1542183286126348`, 0.2951998224290116`}, {0.15159808750593176`, 
      0.28126407977451784`}}], 
   Line[{{0.1543844511422373`, 0.29622903636555487`}, {0.1542183286126348`, 
      0.2951998224290116`}}], 
   Line[{{0.15487515594649698`, 0.2973588777162937`}, {0.1543844511422373`, 
      0.29622903636555487`}}], 
   Line[{{0.1579674954611141`, 0.3106502784721332`}, {0.15487515594649698`, 
      0.2973588777162937`}}], 
   Line[{{0.15801884123013382`, 0.31149526756373586`}, {0.1579674954611141`, 
      0.3106502784721332`}}], 
   Line[{{0.15837231170577926`, 0.3124103567537063`}, {0.15801884123013382`, 
      0.31149526756373586`}}], 
   Line[{{0.16249412038258731`, 0.3268594270632616`}, {0.15837231170577926`, 
      0.3124103567537063`}}], 
   Line[{{0.1627258634053209`, 0.32761076950461077`}, {0.16249412038258731`, 
      0.3268594270632616`}}], 
   Line[{{0.1677923104797096`, 0.3421155216709148`}, {0.1627258634053209`, 
      0.32761076950461077`}}], 
   Line[{{0.2978272217864588`, 0.14759488720466138`}, {0.3120103725148076`, 
      0.16185946995643472`}}], 
   Line[{{0.3120103725148076`, 0.16185946995643472`}, {0.32775672771374703`, 
      0.17512244347152398`}}], 
   Line[{{0.16831982916051622`, 0.3434042241910501`}, {0.16791854046841395`, 
      0.3427532989898076`}}], 
   Line[{{0.16791854046841395`, 0.3427532989898076`}, {0.1677923104797096`, 
      0.3421155216709148`}}], 
   Line[{{0.17421155114809514`, 0.3581968200459465`}, {0.17392151465705788`, 
      0.35763372336909505`}}], 
   Line[{{0.17392151465705788`, 0.35763372336909505`}, {0.16831982916051622`, 
      0.3434042241910501`}}], 
   Line[{{0.18069422094150786`, 0.37205702305025484`}, {0.17421155114809514`, 
      0.3581968200459465`}}], 
   Line[{{0.180891236025593`, 0.37258053248480366`}, {0.18069422094150786`, 
      0.37205702305025484`}}], 
   Line[{{0.18830785455803709`, 0.38637151726676766`}, {0.180891236025593`, 
      0.37258053248480366`}}], 
   Line[{{0.18865265276787174`, 0.3868486426773692`}, {0.18830785455803709`, 
      0.38637151726676766`}}], 
   Line[{{0.19640017190085496`, 0.3994058587164615`}, {0.18865265276787174`, 
      0.3868486426773692`}}], 
   Line[{{0.19666833626667307`, 0.3999132604697406`}, {0.19640017190085496`, 
      0.3994058587164615`}}], 
   Line[{{0.20531029788487257`, 0.41211763157731013`}, {0.19666833626667307`, 
      0.3999132604697406`}}], 
   Line[{{0.20571216030393039`, 0.4126101422556851`}, {0.20531029788487257`, 
      0.41211763157731013`}}], 
   Line[{{0.2145020546238386`, 0.4233429398459504`}, {0.20571216030393039`, 
      0.4126101422556851`}}], 
   Line[{{0.21537048933945666`, 0.42440920138360355`}, {0.2148469636279404`, 
      0.42392452797297386`}}], 
   Line[{{0.2148469636279404`, 0.42392452797297386`}, {0.2145020546238386`, 
      0.4233429398459504`}}], 
   Line[{{0.224937909314532`, 0.4347906814830722`}, {0.22447106274957196`, 
      0.43419502129876153`}}], 
   Line[{{0.2255708635091629`, 0.4352755122957541`}, {0.224937909314532`, 
      0.4347906814830722`}}], 
   Line[{{0.22447106274957196`, 0.43419502129876153`}, {0.21537048933945666`, 
      0.42440920138360355`}}], 
   Line[{{0.2362387193659058`, 0.44519046171637694`}, {0.23550854177430175`, 
      0.44469711425577`}}], 
   Line[{{0.23550854177430175`, 0.44469711425577`}, {0.23493104304809412`, 
      0.4440809402390221`}}], 
   Line[{{0.23493104304809412`, 0.4440809402390221`}, {0.2255708635091629`, 
      0.4352755122957541`}}], 
   Line[{{0.2458063880151631`, 0.4529965121115738`}, {0.2362387193659058`, 
      0.44519046171637694`}}], 
   Line[{{0.24729866193283856`, 0.45414958092958785`}, {0.24648326240945`, 
      0.45363954361140574`}}], 
   Line[{{0.24648326240945`, 0.45363954361140574`}, {0.2458063880151631`, 
      0.4529965121115738`}}], 
   Line[{{0.2570213951396619`, 0.46095021578202966`}, {0.24729866193283856`, 
      0.45414958092958785`}}], 
   Line[{{0.25867545846199563`, 0.4621600936383677`}, {0.2577865151619174`, 
      0.4616258862109966`}}], 
   Line[{{0.2577865151619174`, 0.4616258862109966`}, {0.2570213951396619`, 
      0.46095021578202966`}}], 
   Line[{{0.2713565274343649`, 0.46964096460519306`}, {0.27029474445148616`, 
      0.46923832388523573`}}], 
   Line[{{0.27029474445148616`, 0.46923832388523573`}, {0.2693435427651083`, 
      0.4686736095095178`}}], 
   Line[{{0.2693435427651083`, 0.4686736095095178`}, {0.25867545846199563`, 
      0.4621600936383677`}}], 
   Line[{{0.2820834503649971`, 0.47540708814525406`}, {0.28108085796610294`, 
      0.4748070587399311`}}], 
   Line[{{0.28317996258778066`, 0.47583890202372664`}, {0.2820834503649971`, 
      0.47540708814525406`}}], 
   Line[{{0.2929264508462746`, 0.4800548651057634`}, {0.28317996258778066`, 
      0.47583890202372664`}}], 
   Line[{{0.28108085796610294`, 0.4748070587399311`}, {0.2713565274343649`, 
      0.46964096460519306`}}], 
   Line[{{0.2962869754197271`, 0.4814350589126312`}, {0.2950906392127613`, 
      0.48115832533184144`}}], 
   Line[{{0.293969971604404`, 0.48069317434650516`}, {0.2929264508462746`, 
      0.4800548651057634`}}], 
   Line[{{0.2950906392127613`, 0.48115832533184144`}, {0.293969971604404`, 
      0.48069317434650516`}}], 
   Line[{{0.3070188184813319`, 0.4856253611147443`}, {0.30588411540871324`, 
      0.4851249910683927`}}], 
   Line[{{0.3082111485742116`, 0.48593284952392213`}, {0.3070188184813319`, 
      0.4856253611147443`}}], 
   Line[{{0.30588411540871324`, 0.4851249910683927`}, {0.2962869754197271`, 
      0.4814350589126312`}}], 
   Line[{{0.3200745284695116`, 0.4896040338211999`}, {0.31889586095955874`, 
      0.4892654893053082`}}], 
   Line[{{0.3306538583299412`, 0.49210181021046007`}, {0.3200745284695116`, 
      0.4896040338211999`}}], 
   Line[{{0.31889586095955874`, 0.4892654893053082`}, {0.3082111485742116`, 
      0.48593284952392213`}}], 
   Line[{{0.32775672771374703`, 0.17512244347152398`}, {0.34339600647788815`, 
      0.19037157889533632`}}], 
   Line[{{0.34339600647788815`, 0.19037157889533632`}, {0.3584920715847559`, 
      0.20748513832003038`}}], 
   Line[{{0.3584920715847559`, 0.20748513832003038`}, {0.37529647269459104`, 
      0.22416045439778076`}}], 
   Line[{{0.391394006394934`, 0.24187639988977794`}, {0.40595760835145256`, 
      0.26052294423977673`}}], 
   Line[{{0.40595760835145256`, 0.26052294423977673`}, {0.4211937389690042`, 
      0.2783989008665915`}}], 
   Line[{{0.37529647269459104`, 0.22416045439778076`}, {0.391394006394934`, 
      0.24187639988977794`}}], 
   Line[{{0.4211937389690042`, 0.2783989008665915`}, {0.4360859857909327`, 
      0.29688362962532056`}}], 
   Line[{{0.4360859857909327`, 0.29688362962532056`}, {0.44849554349384785`, 
      0.31513488497582964`}}], 
   Line[{{0.44849554349384785`, 0.31513488497582964`}, {0.45950702525841847`, 
      0.3312352642133482`}}], 
   Line[{{0.45950702525841847`, 0.3312352642133482`}, {0.47168951000586257`, 
      0.3485013232084075`}}], 
   Line[{{0.3329811696167614`, 0.49261958674849604`}, {0.33180955627977493`, 
      0.49246904090890936`}}], 
   Line[{{0.33180955627977493`, 0.49246904090890936`}, {0.3306538583299412`, 
      0.49210181021046007`}}], 
   Line[{{0.3433488889598254`, 0.4945445748405384`}, {0.3329811696167614`, 
      0.49261958674849604`}}], 
   Line[{{0.3546249958718492`, 0.495842695338322`}, {0.3444697509923371`, 
      0.49471602188622743`}}], 
   Line[{{0.3444697509923371`, 0.49471602188622743`}, {0.3433488889598254`, 
      0.4945445748405384`}}], 
   Line[{{0.3556865540320001`, 0.4960280715277968`}, {0.3546249958718492`, 
      0.495842695338322`}}], 
   Line[{{0.3567177912758346`, 0.49597308113395`}, {0.3556865540320001`, 
      0.4960280715277968`}}], 
   Line[{{0.47168951000586257`, 0.3485013232084075`}, {0.48077950746507786`, 
      0.3644837993542871`}}], 
   Line[{{0.4860140377063631`, 0.37629909992727895`}, {0.494713514709459`, 
      0.3908117600585477`}}], 
   Line[{{0.48077950746507786`, 0.3644837993542871`}, {0.4860140377063631`, 
      0.37629909992727895`}}], 
   Line[{{0.494713514709459`, 0.3908117600585477`}, {0.5001882062215272`, 
      0.4033850666119429`}}], 
   Line[{{0.36750825194268794`, 0.4965078617110783`}, {0.36656376103364224`, 
      0.49656032955172325`}}], 
   Line[{{0.36656376103364224`, 0.49656032955172325`}, {0.3567177912758346`, 
      0.49597308113395`}}], 
   Line[{{0.37788302207581576`, 0.4962518669896069`}, {0.37703288668338875`, 
      0.4963125224987447`}}], 
   Line[{{0.3870248630651093`, 0.4952799609069687`}, {0.37788302207581576`, 
      0.4962518669896069`}}], 
   Line[{{0.37703288668338875`, 0.4963125224987447`}, {0.36750825194268794`, 
      0.4965078617110783`}}], 
   Line[{{0.3877734346697613`, 0.49519893336654924`}, {0.3870248630651093`, 
      0.4952799609069687`}}], 
   Line[{{0.39647039041779775`, 0.49345442085222035`}, {0.3877734346697613`, 
      0.49519893336654924`}}], 
   Line[{{0.397110731984245`, 0.4933399169989696`}, {0.39647039041779775`, 
      0.49345442085222035`}}], 
   Line[{{0.4053005892876792`, 0.4908254279842213`}, {0.397110731984245`, 
      0.4933399169989696`}}], 
   Line[{{0.40582676815159685`, 0.49066402514110335`}, {0.4053005892876792`, 
      0.4908254279842213`}}], 
   Line[{{0.4134479680115215`, 0.48738189051877207`}, {0.40582676815159685`, 
      0.49066402514110335`}}], 
   Line[{{0.41385501671116315`, 0.4871604717762271`}, {0.4134479680115215`, 
      0.48738189051877207`}}], 
   Line[{{0.5001882062215272`, 0.4033850666119429`}, {0.5026656466799566`, 
      0.41378366311013043`}}], 
   Line[{{0.5049910805017521`, 0.42092707055693956`}, {0.5073345408466324`, 
      0.4298919589211338`}}], 
   Line[{{0.5026656466799566`, 0.41378366311013043`}, {0.5049910805017521`, 
      0.42092707055693956`}}], 
   Line[{{0.4274391169072527`, 0.47801529681458305`}, {0.42084769258955246`, 
      0.48311400029769436`}}], 
   Line[{{0.42084769258955246`, 0.48311400029769436`}, {0.41385501671116315`, 
      0.4871604717762271`}}], 
   Line[{{0.4329580876836497`, 0.47231834863067207`}, {0.4274391169072527`, 
      0.47801529681458305`}}], 
   Line[{{0.4331675034193015`, 0.4720847717913544`}, {0.4329580876836497`, 
      0.47231834863067207`}}], 
   Line[{{0.437890159746943`, 0.46566606263920335`}, {0.4331675034193015`, 
      0.4720847717913544`}}], 
   Line[{{0.5073345408466324`, 0.4298919589211338`}, {0.507075192557166`, 
      0.43670292340445127`}}], 
   Line[{{0.507075192557166`, 0.43670292340445127`}, {0.5049458541122729`, 
      0.4449675445229827`}}], 
   Line[{{0.4776009750118953`, 0.4514099006447918`}, {0.4730868229244228`, 
      0.45077008810913194`}}], 
   Line[{{0.4730868229244228`, 0.45077008810913194`}, {0.437890159746943`, 
      0.46566606263920335`}}], 
   Line[{{0.5049458541122729`, 0.4449675445229827`}, {0.5029083407423581`, 
      0.44889688974935993`}}], 
   Line[{{0.4838758910848437`, 0.45289412540402957`}, {0.4776009750118953`, 
      0.4514099006447918`}}], 
   Line[{{0.5029083407423581`, 0.44889688974935993`}, {0.49919310111973014`, 
      0.45113398227358853`}}], 
   Line[{{0.4890646389147416`, 0.45348782067176335`}, {0.4838758910848437`, 
      0.45289412540402957`}}], 
   Line[{{0.49919310111973014`, 0.45113398227358853`}, {0.49332267538788155`, 
      0.45296691617990653`}}], 
   Line[{{0.49332267538788155`, 0.45296691617990653`}, {0.4890646389147416`, 
      0.45348782067176335`}}]};

Convert lines to points

pts = Flatten[linelist1 /. Line -> Identity, {2}][[1]];

Using ListCurvePathPlot

ListCurvePathPlot[pts,
 Frame -> True,
 Axes -> False,
 PlotStyle -> Dashed]

enter image description here

Using FindCurvePath

curve = FindCurvePath[pts];

ListLinePlot[pts[[curve[[1]]]],
 Frame -> True,
 Axes -> False,
 AspectRatio -> Automatic,
 PlotStyle -> Dashed,
 ImageSize -> 350]

enter image description here

|improve this answer
$\endgroup$
  • $\begingroup$ You coded Flatten with the optional second argument between curly braces. Where is this use documented? In the documenation for Flatten I have access to this argument is without braces. Thanks $\endgroup$ – Sigis K Jul 13 '16 at 21:38
  • $\begingroup$ @SigisK - See the tutorial Levels in Expressions $\endgroup$ – Bob Hanlon Jul 13 '16 at 23:11
5
$\begingroup$

The goal here is to turn the collection of Line objects into a BoundaryMeshRegion, and then extract the boundary from that region. This is similar to user21's solution, but a bit more robust for this application.

mr = BoundaryDiscretizeGraphics[linelist2];
MeshPrimitives[mr, 2] /. Polygon[a__] :> Line[a] // 
 Graphics[{Dashing[0.01], #}] &

Mathematica graphics

|improve this answer
$\endgroup$
  • $\begingroup$ Thanks, but the point of my post is that this doesn't work for my 2nd example. My first attempt at a solution does this already. $\endgroup$ – YungHummmma Jul 8 '16 at 18:59
  • $\begingroup$ Thanks for the edit, that looks good. Unfortunately I already chose an answer, thank you though! $\endgroup$ – YungHummmma Jul 8 '16 at 19:22
  • 1
    $\begingroup$ @YungHummmma You're free to change your selection, if you think this is better than mine. It's close, and in a tie, one tends to prefer one's own children, so to speak. :) This is also why some advise waiting a while before accepting, to see what answers come in. (+1, Jason.) $\endgroup$ – Michael E2 Jul 8 '16 at 23:56
  • $\begingroup$ @MichaelE2 Thank you. I wanted to point out that there are other ways to show approval of an answer than accepting, lol. I find it interesting that the graph path solution works where the FindCurvePath fails. $\endgroup$ – Jason B. Jul 9 '16 at 1:00
  • $\begingroup$ @MichaelE2 I think I may have actually found a way in which yours fails, but for now it's working for me so I'll stick with it. (when I did the same shape, but with fewer points, I think, something broke.) $\endgroup$ – YungHummmma Jul 9 '16 at 22:25
3
$\begingroup$

You can use DiscretizeGraphics for this:

mr = DiscretizeGraphics[linelist1]

and if you want a graphics out of it:

Graphics[GraphicsComplex[
  MeshCoordinates[mr], {Dashed, 
   MeshCells[mr, {1, All}, Multicells -> True]}]]
|improve this answer
$\endgroup$
  • $\begingroup$ Thank you. However, the dashing problem still fails with this. Try Dashing[.01] and you'll see that it still does it unevenly. $\endgroup$ – YungHummmma Jul 8 '16 at 19:01
3
$\begingroup$ 
sTour = FindShortestTour[data = Flatten[First /@ linelist1, 1]];
Graphics[{Dashing[0.01], Line[data[[sTour [[2]]]]]}]

enter image description here

|improve this answer
$\endgroup$
0
$\begingroup$

What about literal replacing lines with dashed lines?

Graphics@linelist1 /. Line[a_] -> {Dashed, Line[a]}
|improve this answer
$\endgroup$
  • 1
    $\begingroup$ Thanks, but for me this produces the uneven dashing in my post above. $\endgroup$ – YungHummmma Jul 8 '16 at 19:18
0
$\begingroup$

Here's my solution, which doesn't rely on any fancy functions:

appendNextSegment[{acc_, rest_}] := Module[{closeness, nearest, pos, next},
  closeness = Map[Norm[(Last@acc) - First@#] &, rest];
  nearest = Min[closeness];
  pos = Position[closeness, nearest][[1, 1]];
  next = rest[[pos]];
  Return[{acc~Join~next, Delete[rest, pos]}]
  ]
lineJoin[listOfLines_] := Line[Nest[
    appendNextSegment, 
    ({First@listOfLines, Rest@listOfLines} /. Line -> Sequence),
    Length[listOfLines] - 1][[1]]
    ]

Then

Graphics@{Dashed, lineJoin@linelist1}
Graphics@{Dashed, lineJoin@linelist2}

produce nice graphics (that I can't paste here, as imgur is blocked at work).

|improve this answer
$\endgroup$
  • 1
    $\begingroup$ Wait, what qualifies a function as "fancy"? :-P $\endgroup$ – Jason B. Jul 9 '16 at 1:16
  • $\begingroup$ My working definition is that a function is fancy if you can't immediately understand by looking at its name what inputs you should pass it or what the output ought to be. $\endgroup$ – evanb Jul 9 '16 at 1:18

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.