Need help with dome calculations for a dome with a 12 segment base

[CMDR Josh Hawkins]

Hey all! I'm looking to build a dome to cover my above ground 18' diameter pool. The pool frame is made up of 12 segments so ideally i'd like the base of the dome to align to each segment. I can't seem to find a calculator that allows me to get calculations based on that, so wondering if anyone here could assist?

Each segment is 4.66' in length

[Dx G]

Josh,

  I'm not sure what would be most helpful, but here are a few items for a start.  Perhaps you can review these and comment on what kind of things are useful.  There are a lot of calculators and tools, all of which have their strengths, depending on the outstanding questions.  Also depends on how strong the dome shell needs to be, what you will use for a cover or panels, and where the base of the dome will sit - on the pool wall, outside or inside the wall, etc.

https://www.simplydifferently.org/LC_Dome
https://www.simplydifferently.org/Geodesic_Dome_Notes
https://br.pinterest.com/pin/957929783214496127/  clamshell dome
https://www.pinterest.com/pin/193303008985141024/   dome from hoops

-DxG

[Paul Kranz]

Josh:

Can you send us a drawing?

Paul sends...

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Very high regards,

 

Paul C. Kranz, LMFT

Kranz & Associates, LLC

ReviveTheFlame.com

[Paul Kranz]

Josh:

A 3v octahedron has a 12-gon as a base at its diameter.

Paul sends...

[CMDR Josh Hawkins]

[Gerry in Quebec]

Josh,

Paul's suggestion sounds good to me because of its simplicity, and you can have all edges of the base equal in length.
- Gerry in Québec

On Friday, June 28, 2024 at 7:20:42 AM UTC-4 Paul Kranz wrote:

[Paul Kranz]

Gerry:

There are probably a couple of great-circle diameters on the 4v tetra that would also yield a 12-sided foundation, no?

Paul sends...

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