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</o:shapelayout></xml><![endif]--></head><body lang=EN-GB link=blue vlink=purple><div class=WordSection1><p class=MsoNormal><span style='color:#1F497D'>…so that’s my problem solved for this time.<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>But I’m still interested in solving with maths, with the idea of making a post-processing tool...<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><div><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#7030A0;mso-fareast-language:EN-GB'>Alex Gibson<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#1F497D;mso-fareast-language:EN-GB'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#7030A0;mso-fareast-language:EN-GB'>admg</span><span style='font-family:"Arial","sans-serif";color:#1F497D;mso-fareast-language:EN-GB'> </span><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>consulting<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#7030A0;mso-fareast-language:EN-GB'>edu</span><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>maker limited</span><span style='font-family:"Arial","sans-serif";color:#1F497D;mso-fareast-language:EN-GB'><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'><o:p> </o:p></span></p><p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;color:#604A7B;mso-fareast-language:EN-GB'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>         </span></span></span><![endif]><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>Project management<o:p></o:p></span></p><p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;color:#604A7B;mso-fareast-language:EN-GB'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>         </span></span></span><![endif]><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>Operations & Process improvement <o:p></o:p></span></p><p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;color:#604A7B;mso-fareast-language:EN-GB'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>         </span></span></span><![endif]><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>3D Printing<o:p></o:p></span></p></div><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span lang=EN-US style='font-size:10.0pt;font-family:"Tahoma","sans-serif";mso-fareast-language:EN-GB'>From:</span></b><span lang=EN-US style='font-size:10.0pt;font-family:"Tahoma","sans-serif";mso-fareast-language:EN-GB'> Discuss [mailto:discuss-bounces@lists.openscad.org] <b>On Behalf Of </b>Alex Gibson<br><b>Sent:</b> 21 July 2019 02:05<br><b>To:</b> 'OpenSCAD general discussion'<br><b>Subject:</b> Re: [OpenSCAD] Maths problem = finding corners of an intersection of 2 polygons<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><span style='color:#1F497D'>Yep – playing the GCODE back in Simplify3D gets a perfect square:<o:p></o:p></span></p><p class=MsoNormal><span style='mso-fareast-language:EN-GB'><img width=1105 height=636 id="_x0000_i1027" src="cid:image001.jpg@01D53F69.B1EB9520"></span><span style='color:#1F497D'><o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>That is:<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G92 E0<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X378.546 Y352.217 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X458.698 Y272.065 E76.6848 ;<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X457.434 Y271.615 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X384.642 Y252.783 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X324.204 Y313.221 E144.1098 ;<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X323.103 Y312.381 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X379.141 Y252.143 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X470.219 Y343.221 E58.8828 ;<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X469.321 Y343.146 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X403.880 Y370.221 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X301.294 Y267.635 E129.3704 ;<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>; layer 717, Z = 359.250<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 Z359.250 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X382.211 Y348.552 <o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X428.88 Y301.883 E76.6848 ;<o:p></o:p></span></p><p class=MsoNormal><span lang=FR style='color:#1F497D'>G1 X382.211 Y255.214 E144.1098 ;<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>G1 X335.542 Y301.883 E58.8828 ;<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>G1 X382.211 Y348.552 E129.3704 ;<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>Now I just have to make a couple of versions of this, one repeating 3 times with no extrusion and one just once with extrusion, and jog the printer in between until I find the perfect offset!<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><p class=MsoNormal><span style='color:#1F497D'>Thanks again<o:p></o:p></span></p><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><div><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#7030A0;mso-fareast-language:EN-GB'>Alex Gibson<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#1F497D;mso-fareast-language:EN-GB'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#7030A0;mso-fareast-language:EN-GB'>admg</span><span style='font-family:"Arial","sans-serif";color:#1F497D;mso-fareast-language:EN-GB'> </span><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>consulting<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'><o:p> </o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:#7030A0;mso-fareast-language:EN-GB'>edu</span><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>maker limited</span><span style='font-family:"Arial","sans-serif";color:#1F497D;mso-fareast-language:EN-GB'><o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'><o:p> </o:p></span></p><p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;color:#604A7B;mso-fareast-language:EN-GB'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>         </span></span></span><![endif]><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>Project management<o:p></o:p></span></p><p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;color:#604A7B;mso-fareast-language:EN-GB'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>         </span></span></span><![endif]><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>Operations & Process improvement <o:p></o:p></span></p><p class=MsoNormal style='margin-left:18.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo2'><![if !supportLists]><span style='font-size:10.0pt;font-family:Symbol;color:#604A7B;mso-fareast-language:EN-GB'><span style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>         </span></span></span><![endif]><span style='font-size:10.0pt;font-family:"Arial","sans-serif";color:gray;mso-fareast-language:EN-GB'>3D Printing<o:p></o:p></span></p></div><p class=MsoNormal><span style='color:#1F497D'><o:p> </o:p></span></p><div><div style='border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm'><p class=MsoNormal><b><span lang=EN-US style='font-size:10.0pt;font-family:"Tahoma","sans-serif";mso-fareast-language:EN-GB'>From:</span></b><span lang=EN-US style='font-size:10.0pt;font-family:"Tahoma","sans-serif";mso-fareast-language:EN-GB'> Discuss [mailto:discuss-bounces@lists.openscad.org] <b>On Behalf Of </b>Alex Gibson<br><b>Sent:</b> 21 July 2019 01:49<br><b>To:</b> 'OpenSCAD general discussion'<br><b>Subject:</b> Re: [OpenSCAD] Maths problem = finding corners of an intersection of 2 polygons<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><p class=MsoPlainText>Fantastic, thanks Torsten, I was just thinking on similar lines...<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>I remembered an online STL to OpenSCAD converter.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>So I did a Linear_extrude of my intersection and got:<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><span style='mso-fareast-language:EN-GB'><img width=276 height=193 id="Picture_x0020_1" src="cid:image002.png@01D53F69.B1EB9520"></span><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Then used this dead useful tool <a href="https://jsfiddle.net/Riham/yzvGD/">https://jsfiddle.net/Riham/yzvGD/</a> to get:<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>module object1(scale) {polyhedron(<o:p></o:p></p><p class=MsoPlainText>points=[[382.211,348.552,0],[428.88,301.883,0],[382.211,255.214,0],[382.211,348.552,0],[382.211,255.214,0],[335.542,301.883,0],[382.211,255.214,10],[428.88,301.883,10],[382.211,348.552,10],[335.542,301.883,10],[382.211,255.214,10],[382.211,348.552,10],[382.211,348.552,0],[428.88,301.883,10],[428.88,301.883,0],[382.211,348.552,0],[382.211,348.552,10],[428.88,301.883,10],[335.542,301.883,0],[382.211,348.552,10],[382.211,348.552,0],[335.542,301.883,0],[335.542,301.883,10],[382.211,348.552,10],[382.211,255.214,0],[335.542,301.883,10],[335.542,301.883,0],[382.211,255.214,0],[382.211,255.214,10],[335.542,301.883,10],[428.88,301.883,0],[382.211,255.214,10],[382.211,255.214,0],[428.88,301.883,0],[428.88,301.883,10],[382.211,255.214,10] ],<o:p></o:p></p><p class=MsoPlainText>faces=[[0,1,2],[3,4,5],[6,7,8],[9,10,11],[12,13,14],[15,16,17],[18,19,20],[21,22,23],[24,25,26],[27,28,29],[30,31,32],[33,34,35]]);}<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>translate([200,0,0])<o:p></o:p></p><p class=MsoPlainText>object1(1);<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Which if I strip it down a bit gets: <o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>module object4(scale) {polyhedron(<o:p></o:p></p><p class=MsoPlainText>points=[[382.211,348.552,0],<o:p></o:p></p><p class=MsoPlainText>[428.88,301.883,0],<o:p></o:p></p><p class=MsoPlainText>[382.211,255.214,0],<o:p></o:p></p><p class=MsoPlainText>[335.542,301.883,0]],<o:p></o:p></p><p class=MsoPlainText>faces=[[0,1,2,3]]);}<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>object4(1);<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><span style='mso-fareast-language:EN-GB'><img border=0 width=303 height=199 id="Picture_x0020_2" src="cid:image003.png@01D53F69.B1EB9520"></span><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>…which are exactly the same co-ordinates you got with rounding error of 0.001mm so that’s verified nicely via 2 methods!<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Thanks very much!!!<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Now I can use these co-ordinates to make a GCODE file that plays repeats of a square movement between those co-ordinates, and finally one that extrudes plastic for when I think I’ve jogged X and Y successfully!<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Alex Gibson<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>admg consulting<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>edumaker limited<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>• Project management<o:p></o:p></p><p class=MsoPlainText>• Operations & Process improvement <o:p></o:p></p><p class=MsoPlainText>• 3D Printing<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText><span lang=EN-US style='mso-fareast-language:EN-GB'>-----Original Message-----<br>From: Discuss [mailto:discuss-bounces@lists.openscad.org] On Behalf Of Torsten Paul<br>Sent: 21 July 2019 01:39<br>To: discuss@lists.openscad.org<br>Subject: Re: [OpenSCAD] Maths problem = finding corners of an intersection of 2 polygons</span><o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>On 21.07.19 02:20, Alex Gibson wrote:<o:p></o:p></p><p class=MsoPlainText>> 2)      A way to get OpenSCAD to output the corner co-ordinates?<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Export as SVG, that gives:<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>M 428.88,-301.882 L 382.211,-348.552 L 335.542,-301.883 L 382.212,-255.214 z<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Note that the Y coordinates are negated due to SVG coordinate<o:p></o:p></p><p class=MsoPlainText>system having the origin top left.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>ciao,<o:p></o:p></p><p class=MsoPlainText>  Torsten.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>_______________________________________________<o:p></o:p></p><p class=MsoPlainText>OpenSCAD mailing list<o:p></o:p></p><p class=MsoPlainText>Discuss@lists.openscad.org<o:p></o:p></p><p class=MsoPlainText>http://lists.openscad.org/mailman/listinfo/discuss_lists.openscad.org<o:p></o:p></p></div></body></html>