Generating a geodesic dome - Grasshopper2022-08-09T08:28:59Zhttps://www.grasshopper3d.com/forum/topics/generating-a-geodesic-dome?feed=yes&xn_auth=noHow about using the facet dom…tag:www.grasshopper3d.com,2017-01-24:2985220:Comment:16776032017-01-24T20:17:08.020ZDaniel Pikerhttps://www.grasshopper3d.com/profile/DanielPiker
<p>How about using the facet dome component like this?:</p>
<p>How about using the facet dome component like this?:</p> Maybe it depends on the metho…tag:www.grasshopper3d.com,2017-01-24:2985220:Comment:16777452017-01-24T19:43:35.738Zmartyn hogghttps://www.grasshopper3d.com/profile/martynhogg427
<p>Maybe it depends on the method you use to generate the dome?</p>
<p>I thought geodesic domes start as an icosohedron... 20 equilateral triangles with all vertices lying on a sphere.</p>
<p>Divide the equilateral triangles into more triangles and project the points of these triangles onto the sphere.</p>
<p>The more triangles you divide the original equilateral triangles into, the closer to a sphere you get but the more variation in length of triangle edge and corner node…</p>
<p>Maybe it depends on the method you use to generate the dome?</p>
<p>I thought geodesic domes start as an icosohedron... 20 equilateral triangles with all vertices lying on a sphere.</p>
<p>Divide the equilateral triangles into more triangles and project the points of these triangles onto the sphere.</p>
<p>The more triangles you divide the original equilateral triangles into, the closer to a sphere you get but the more variation in length of triangle edge and corner node geometry.</p>
<p>This method is also giving you triangles not hexagons and pentagons, but you can see the hexagons and pentagons made up of the triangles.</p> I see your point, but it was…tag:www.grasshopper3d.com,2017-01-23:2985220:Comment:16772272017-01-23T23:05:52.365ZMorten Ydefeldthttps://www.grasshopper3d.com/profile/MortenYdefeldt
<p>I see your point, but it was quite not the solution I was looking for, it's a bit too hax, the math need add up.</p>
<p>I don't know why it does initially work..</p>
<p>But then I look here:<br></br> <a href="http://mathworld.wolfram.com/GeodesicDome.html" target="_blank">http://mathworld.wolfram.com/GeodesicDome.html</a></p>
<p><i>In such domes, neither the polyhedron vertices nor the centers of faces necessarily lie at exactly the same distances from the center. However, these conditions are…</i></p>
<p>I see your point, but it was quite not the solution I was looking for, it's a bit too hax, the math need add up.</p>
<p>I don't know why it does initially work..</p>
<p>But then I look here:<br/> <a href="http://mathworld.wolfram.com/GeodesicDome.html" target="_blank">http://mathworld.wolfram.com/GeodesicDome.html</a></p>
<p><i>In such domes, neither the polyhedron vertices nor the centers of faces necessarily lie at exactly the same distances from the center. However, these conditions are approximately satisfied.</i></p>
<p>So maybe it's not possible to generate such a thing? But then again how is it done in this component ? [Example1.png]</p>
<p>But then <i>again again</i> I look at the amount of different line lengths in the exploded hexagons from that example and note there are some inconsistencies. [example2.png]</p>
<p><b>Conclusion:</b><br/> Wolfram Alpha is correct, it's <b>not</b> possible to generate this shape without 'haxing' around with the points to make it fit planar surfaces.</p>
<p>But it should be possible to generate an approximation that is good enough, actually the method presented by Hyungsoo Kim should be just as fine as anything else.</p>
<p>Thank you!</p> Hi.
How about using Kangaroo2…tag:www.grasshopper3d.com,2017-01-23:2985220:Comment:16768452017-01-23T13:51:10.715ZHyungsoo Kimhttps://www.grasshopper3d.com/profile/HyungsooKim
<p>Hi.</p>
<p><span>How about using Kangaroo2 for planarization?<a href="http://storage.ning.com/topology/rest/1.0/file/get/2769236237?profile=original" target="_self"><img width="721" class="align-full" src="http://storage.ning.com/topology/rest/1.0/file/get/2769236237?profile=RESIZE_1024x1024"/></a></span></p>
<p>Hi.</p>
<p><span>How about using Kangaroo2 for planarization?<a href="http://storage.ning.com/topology/rest/1.0/file/get/2769236237?profile=original" target="_self"><img width="721" class="align-full" src="http://storage.ning.com/topology/rest/1.0/file/get/2769236237?profile=RESIZE_1024x1024"/></a></span></p>