my first dome

[peter töffels]

Hello group

I have been working for the past few weeks on drawing a dome, but I haven't quite succeeded yet. I am using Fusion 360 and projecting from an icosahedron onto a sphere. I then measure the parts on the surface of the sphere. I am only drawing the two hexagons and one pentagon. I find your work very interesting, and I will keep trying to draw the dome. The provided dimensions are helpful, but I am still unsure how to implement them correctly.
I am from Germany, Thuringia.
Best regards,
Peter
My first dome

[Dx G]

Peter,

 Very interesting, thanks for posting this. I have a question.  It appears that you used standard pipe fittings that connect at a 45 degree angle, and that was used for all of the 3-way connections.  Is that correct, or just an illusion?  If so, was that a good fit or was there some strain where 45 degrees was not an optimum angle?  I have not calculated the actual theoretical angle of those 3-way connections yet, and don't know how close to 45 degrees they actually are. 

thanks again

Dx G

[TaffGoch]

Dx G ,

Looks more like 60° connectors, don't you think?

Peter,

Nice 3v rotegrity! Kudos

Taff

(aka; TaffGoch, David Price)

[Dx G]

Yes, Taff, that same thought occurred to me...you must be a mind reader :-).   Here in the US, a Wye is typically 45 degrees. I've only seen very few places that sell a 60.  However, they may be more common in Europe, so they might indeed be 60's.  Peter will know, so we'll see what he says.  Either way, if that is true I then find two things of interest here, first, they are all 3-way connectors, second they are all 45 degrees...or 60, or we'll see what.  thx  

Dx G

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[Curt McNamara]

The internal angles of a hexagon add up to ... There are ... of them for any given hexagon so each must be ...

     Curt

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[Dx G]

I agree with that as a starting premise, so 60 seems a whole lot more likely than 45. In fact, it gets worse. Since these are not flat triangles, they may take on characteristics of spherical triangles, especially if those struts are curved, and we are not dealing with flat polygons.  I say worse, because the total degrees of angles of spherical triangles can be greater than 180.  So it looks even less likely that those wye connectors are 45 degrees each.  As I heard a scout leader once say, always pays to make sure brain is engaged before putting mouth in gear.... :-)     

  So Peter, are those 60 degree wyes or something else?

Dx G

[peter töffels]

Hello everyone,

I have created a short explanatory video and hope that it answers your questions. 

https://www.youtube.com/watch?v=o35JjwCD0Pc 

   

I'm not a mathematician, so unfortunately, I can't present it in any other way.

https://www.instagram.com/holzzeichen/

https://www.youtube.com/@Holzzeichen

Peter

[peter töffels]

I The way I designed it, the dome fit perfectly, but unfortunately, it’s still not perfect enough if I want to build it using real wood joints. At a certain point, I was no longer able to measure the angles—it's not possible on the sphere, whereas on a flat surface, it's clear and easy. However, the way I did it, measuring wasn’t necessary; I simply printed all the connectors separately.

[peter töffels]

Thank you for your kind words! I really appreciate hearing that from you, as I truly admire your work