irregular pattern dome

[mike wazowski]

Can one genarate this random pattern for a dome ? I would be very interested in the chord factors :)

I know these are mostly pentagons, but the pattern looks so cool, like cell walls, or the Beijing water cube :

Is there a dome like this out there that i dont know about ? 

[Dick Fischbeck]

Randome is very flexible. BTW, I doubt pentagons here are a majority.  Just saying.. Except there are so many quads and triangles. Pure topology. E+V=F+2.

[Dick Fischbeck]

Edge length is not in play. Topology only.

[Hector Alfredo Hernández Hdez.]

Euler's characteristic
 V - E + F = 2

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[TaffGoch]

Mike,

You can generate a random triangulation with a Thomson-problem solver, then produce a dual of that triangulated sphere

Personally, I use this java applet: http://thomson.phy.syr.edu/thomsonapplet.php

(Used it to produce the above voronoi sphere image.)

-Taff

[mike wazowski]

That is such a cool software, thanks Taff !

And thank you Dick and Hector, i will research that.

I would like to make a paper model of such a dome but i'm not sure how yet, it would be great if i could print every shape individualy from that app. 

[TaffGoch]

Mike,

Take note that the "faces" of such a voronoi sphere are not, necessarily, planar.  They are (more-likely) to be "spherical polygons."

-Taff

[Marcos Lutyens]

This is what I have been creating at sxsw this week . Called the memory observatory

Best 

Marcos

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marcoslutyens.net
+1 323 633 0494

my book

[mike wazowski]

Didnt realize that Taff but even if they would be planar the idea isnt that great since the structure would be a lot weaker (in some points) the a Goldberg dome, so it would only be a good idea from an artistic standpoint, not a practical one.