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About Deviant Artist Member Physicist/geometerUnited States Group :iconkerkythea: Kerkythea
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Eden Project Biomes by TaffGoch
Eden Project Biomes
Geodesic dome dimensions, regarding full theoretical spheres. (In other words, the depiction does not show the dome truncations, employed to fit the hilly terrain)

"Subdivision" refers to Class-I icosahedral "frequency." (Edge of icosahedron subdivided into 9 or 15 segments)

Data obtained from an Eden Project structural-engineering report. (This depiction emulates a diagram from the report)

"The Structural Making of the Eden Domes"
www.studioseverini.eu/res/Docu…
 - or -
www.mero.de/images/Bausysteme/…
______________________

For this depiction, the "pillow" domes were 3D-modeled in SketchUp
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Gears; Enneacontahedron
Work-in-progress

Gear axes are centered on vertices of a rhombic-enneacontahedron (as shown in animation)

32 large gears - 30 teeth each
60 small gears - 16 teeth each
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Note:  Paul Nylander derived this arrangement, as well:
bugman123.com/Gears/92GearSphe…
(30:30:16)
Geodesic Sphere Gears
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Gears; 15-21-16 by TaffGoch
Gears; 15-21-16
This arrangement provides (virtually) equal spacing between adjacent red gears. Also, compared to other, previously-posted, arrangements, these three gear components have lower tooth counts (and, therefore, larger teeth.)

I am, currently, checking adjacent tooth fitment, to assess potential for "rattle"...
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Clockwork - Steampunk Sphere by TaffGoch
Clockwork - Steampunk Sphere
24, 20 and 16-tooth gears; 92 total

Icosahedral, dodecahedral and buckyball geometry

3D-modeled in SketchUp, rendered in Kerkythea
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deviantID

TaffGoch
Physicist/geometer
Artist
United States
If you can't tell, already, I'm enamored of geodesic constructs.

It is my hope that these deviations will inspire others.

Physicist/geometer,
-Taff
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If you ever need help with the geometry of geodesic domes (or spheres,) there is help available:

Geodesic Help Group (Google Group)

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:iconmann-of-lamancha:
Mann-of-LaMancha Featured By Owner Dec 2, 2014  Hobbyist Digital Artist
Say, by any chance did you notice this study I did on SU and the results of saving in different styles, or is this common knowledge?

mann-of-lamancha.deviantart.co…
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:icontaffgoch:
TaffGoch Featured By Owner Dec 3, 2014
Don,

I had not seen your study, but I do, personally, take full advantage of components (as opposed to groups,) because of the file-size savings.

It should be common knowledge, since it's in the "SketchUp Users Guide," but many don't read it (or, even, know about it.)

-Taff
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:iconmann-of-lamancha:
Mann-of-LaMancha Featured By Owner Dec 3, 2014  Hobbyist Digital Artist
Well the point was about components but also what view style you save your work in.

Yup, I didn't know about it. Thanks :)
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:iconmann-of-lamancha:
Mann-of-LaMancha Featured By Owner Nov 25, 2014  Hobbyist Digital Artist
Say, do you use this www.instructables.com/id/Const… geodesic sphere for your spheres? It gripes me out that it isn't made of regular shapes.
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:icontaffgoch:
TaffGoch Featured By Owner Nov 26, 2014
While I do use SketchUp, that tutorial subdivision "method" is only one of many. (If I recall correctly, >9 methods have been documented.)

The only convex polyhedra that can be constructed of equilateral triangles are the tetrahedron, octahedron and icosahedron. To produce greater complexity (and more-closely approximate a sphere,) irregular triangles must be introduced. If the solid surface is allowed both, concave and convex regions, then Lobel frames, employing equilateral triangles, can be a (rather odd) solution:

 3dwarehouse.sketchup.com/model…
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:iconmann-of-lamancha:
Mann-of-LaMancha Featured By Owner Nov 26, 2014  Hobbyist Digital Artist
Thanks. :)

I wasn't necessarily thinking of equilaterals and should have said fewer regular shapes. I think in years past I had found those tetra's, octa's and iso's but due to senility or an early case of alzheimer's I couldn't find any tutorials for the past couple of weeks, except that link I mentioned. More exactly, I was thinking of Epcot's Space Ship Earth which, in my mind's eye, I thought was made from two or three regular triangles reiterated to make a sphere. Imagine my embarrassment when I just looked it up (having only now remembered it's name) and found it actually has a lot of "fudging."

As a matter of fact, I think I just remembered a previous search for geodesic tutorials that I found by looking up "soccer ball" so I'll try that now...

My apologies if I was a bother and my thanks for your help.
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:icontaffgoch:
TaffGoch Featured By Owner Nov 26, 2014
Spaceship Earth (Epcot) is, indeed, visually deceiving. If recollection serves, there are about 40 different triangle definitions:
3dwarehouse.sketchup.com/model…
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(1 Reply)
:iconfractalyst:
fractalyst Featured By Owner Oct 9, 2014  Hobbyist Digital Artist
thanks for the adwatch!
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:iconnic022:
nic022 Featured By Owner Sep 15, 2014
Hello, thank you a lot for the watch   :)
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:iconbeevomit:
BeeVomit Featured By Owner Aug 18, 2014
Found Domerama online. Blew me away! Never thought such a comprehensive resource existed. Makes me wonder why I'd never seen it before.. hum. I'll be checking in from time to time, you got some great work up here. :) Cheers!
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