topic Re: How to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ? in PTC Mathcad
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695332#M192643
<BLOCKQUOTE><HR /><LI-USER uid="41062"></LI-USER> wrote:<BR />
<P>When I was a student, I solved such a problem in the discipline Descriptive Geometry (Engineering Graphics). Without a computer!<BR />The coordinates of the vertices of three triangles are given. You need to draw them in three projections and find the coordinates of the common point, the intersection point of the triangles.</P>
<HR /></BLOCKQUOTE>
<P><SPAN class="tlid-translation translation"><SPAN title="">Ah yes, it was a long time ago, but I still remember it very well.</SPAN> And it was exactly those tasks I had in mind when I created that picture (<SPAN title="">where the penetration points are NOT constructed.</SPAN> <SPAN class="" title="">The drawing relies on the correct visibility algorithm.</SPAN>). </SPAN></P>
<P> </P>
<P><SPAN class="tlid-translation translation"><SPAN title="">The usual procedure was the "Deckgeradenprinzip" (I don't know how whats it called in English).</SPAN><BR /><SPAN title="">The procedure is explained step by step in this Powerpoint presentation: </SPAN><A href="http://members.geometry.at/3d-geometry/Dokumente/deutsch/05_gak/05_08_06_te_a_schnitt_2dreiecke.ppsx" target="_blank">http://members.geometry.at/3d-geometry/Dokumente/deutsch/05_gak/05_08_06_te_a_schnitt_2dreiecke.ppsx</A><BR /></SPAN></P>
<P> </P>
<P><SPAN class="tlid-translation translation"><SPAN title="">I loved Descriptive Geometry constructions, but a lot of what I learned got obsolete when computer geometry took over.</SPAN> <SPAN class="" title="">Nevertheless, I believe that we were able to develop a better understanding through the tedious and time consuming constructions.</SPAN></SPAN></P>
<P> </P>Tue, 27 Oct 2020 11:22:42 GMTWerner_E2020-10-27T11:22:42ZHow to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695175#M192631
<P> Hello Everyone.<BR />How to plot a triangle of XY-plane in 3-D FOR SURFACE PLOT IN ORDER TO "FILL (COLOR) SURFACE" TO THAT TRIANGLE ?<BR />Thanks in advance for your time and help.<BR /> Best Regards.</P>Mon, 26 Oct 2020 18:56:48 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695175#M192631lvl1072020-10-26T18:56:48ZRe: How to plot a triangle of XY-plane in 3-D ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695197#M192634
<P>basically you have the choice between creating a polygon (a couple of point which may be connected by lines) or a surface patch.</P>
<P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Werner_E_0-1603738273912.png" style="width: 612px;"><img src="https://sejnu66972.i.lithium.com/t5/image/serverpage/image-id/32995i38ED4E5FE3CC3B2E/image-dimensions/612x938?v=1.0" width="612" height="938" role="button" title="Werner_E_0-1603738273912.png" alt="Werner_E_0-1603738273912.png" /></span></P>
<P>MC15 sheet attached</P>
<P> </P>
<P>EDIT: You added the need for a surface plot just after I replied. But you now have that solution, too.<BR />BTW - no need to cry (capital letters)</P>
<P> </P>Mon, 26 Oct 2020 18:59:07 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695197#M192634Werner_E2020-10-26T18:59:07ZRe: How to plot a triangle of XY-plane in 3-D ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695201#M192635
<P> I highly apprreciate your time and help, Werner. <span class="lia-unicode-emoji" title=":grinning_face:">ðŸ˜€</span><span class="lia-unicode-emoji" title=":grinning_face:">ðŸ˜€</span><span class="lia-unicode-emoji" title=":grinning_face:">ðŸ˜€</span>. The method 2 that all I wish it.</P>
<P> Many thanks, again.</P>
<P> Best Regards.</P>
<P> Loi.</P>Mon, 26 Oct 2020 19:14:28 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695201#M192635lvl1072020-10-26T19:14:28ZRe: How to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695209#M192636
<P>You may also use a functional approach and use CreateMesh()</P>
<P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Werner_E_0-1603743963078.png" style="width: 466px;"><img src="https://sejnu66972.i.lithium.com/t5/image/serverpage/image-id/32996iA018AFEADD92C674/image-dimensions/466x584?v=1.0" width="466" height="584" role="button" title="Werner_E_0-1603743963078.png" alt="Werner_E_0-1603743963078.png" /></span></P>
<P> </P>Mon, 26 Oct 2020 20:26:46 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695209#M192636Werner_E2020-10-26T20:26:46ZRe: How to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695215#M192637
<P>Thanks again, Werner. I guess this approach is better than the prior approach.(avoid hitting the wrong key-stroke)</P>
<P> Regards.</P>Mon, 26 Oct 2020 21:43:05 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695215#M192637lvl1072020-10-26T21:43:05ZRe: How to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695302#M192640
<P>When I was a student, I solved such a problem in the discipline Descriptive Geometry (Engineering Graphics). Without a computer!<BR />The coordinates of the vertices of three triangles are given. You need to draw them in three projections and find the coordinates of the common point, the intersection point of the triangles.</P>Tue, 27 Oct 2020 07:43:47 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695302#M192640ValeryOchkov2020-10-27T07:43:47ZRe: How to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695332#M192643
<BLOCKQUOTE><HR /><LI-USER uid="41062"></LI-USER> wrote:<BR />
<P>When I was a student, I solved such a problem in the discipline Descriptive Geometry (Engineering Graphics). Without a computer!<BR />The coordinates of the vertices of three triangles are given. You need to draw them in three projections and find the coordinates of the common point, the intersection point of the triangles.</P>
<HR /></BLOCKQUOTE>
<P><SPAN class="tlid-translation translation"><SPAN title="">Ah yes, it was a long time ago, but I still remember it very well.</SPAN> And it was exactly those tasks I had in mind when I created that picture (<SPAN title="">where the penetration points are NOT constructed.</SPAN> <SPAN class="" title="">The drawing relies on the correct visibility algorithm.</SPAN>). </SPAN></P>
<P> </P>
<P><SPAN class="tlid-translation translation"><SPAN title="">The usual procedure was the "Deckgeradenprinzip" (I don't know how whats it called in English).</SPAN><BR /><SPAN title="">The procedure is explained step by step in this Powerpoint presentation: </SPAN><A href="http://members.geometry.at/3d-geometry/Dokumente/deutsch/05_gak/05_08_06_te_a_schnitt_2dreiecke.ppsx" target="_blank">http://members.geometry.at/3d-geometry/Dokumente/deutsch/05_gak/05_08_06_te_a_schnitt_2dreiecke.ppsx</A><BR /></SPAN></P>
<P> </P>
<P><SPAN class="tlid-translation translation"><SPAN title="">I loved Descriptive Geometry constructions, but a lot of what I learned got obsolete when computer geometry took over.</SPAN> <SPAN class="" title="">Nevertheless, I believe that we were able to develop a better understanding through the tedious and time consuming constructions.</SPAN></SPAN></P>
<P> </P>Tue, 27 Oct 2020 11:22:42 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/695332#M192643Werner_E2020-10-27T11:22:42ZRe: How to plot a triangle of XY-plane in 3-D for SURFACE PLOT (TO FILL COLOR) ?
https://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/698003#M192849
<P><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 524px;"><img src="https://sejnu66972.i.lithium.com/t5/image/serverpage/image-id/33538iDC9B2A4E0727B627/image-size/large?v=1.0&px=999" role="button" title="image.png" alt="image.png" /></span><span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="image.png" style="width: 561px;"><img src="https://sejnu66972.i.lithium.com/t5/image/serverpage/image-id/33539i695DF0762B84DCC0/image-size/large?v=1.0&px=999" role="button" title="image.png" alt="image.png" /></span></P>Thu, 12 Nov 2020 07:47:35 GMThttps://community.ptc.com/t5/PTC-Mathcad/How-to-plot-a-triangle-of-XY-plane-in-3-D-for-SURFACE-PLOT-TO/m-p/698003#M192849ttokoro2020-11-12T07:47:35Z