Domes not based on icosahedrons or dodecahedrons

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Ashok Mathur

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May 27, 2025, 10:18:40 PMMay 27
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Dear All,
There are only occasional discussions on such domes in this group.
Many years ago a Nezelander, John W. Rich used to actively build such domes and I had written about his work. Unfortunately he passed away many years ago but somebody has collected his work and made it available here  https://www.oocities.org/geodesicsnz/people.htm

There is a new paper by Dominika Bysiec ( attached to this post)  that discusses Octahedron domes based on two well known divisions  but with the twist that some domes use a single cross-section for all the struts, while the second model uses "optimized" cos-sections for different struts.
Using a mathematical modelling  described in the paper, it turns out that a single cross-section of the struts offers a stronger structure.
 Synergy at work!

Regards

Ashok


s41598-024-71553-6.pdf

Scott J Becker

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May 27, 2025, 11:19:49 PMMay 27
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I've come up with some of those:
https://www.greatanswers.us/Domes_Custom_c.pdf


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Dx G

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May 28, 2025, 7:32:51 PMMay 28
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Those of you not already familiar with Hugh Kenner's book, Geodesic Math, has some very useful information on Octahedrals, Tetrahedrals, and several versions of elliptical domes in both Class 1 and 2.
 
I would also suggest you review information related to Catalan Solids.  They have some properties that are unique, interesting, and useful.

Dx G
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