modified nexorade

RC

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Jun 25, 2022, 10:44:39 PM6/25/22

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modified Nexorade made from single strut size.JPG

Ashok Mathur

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Jun 26, 2022, 1:08:42 AM6/26/22

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Interesting work.

How did you do it?

Are you worried about the rectangular sub parts?

Regards

Ashok

Sent from my iPhone

On 26-Jun-2022, at 8:14 AM, RC <clark.rob...@gmail.com> wrote:

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Adrian Rossiter

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Jun 26, 2022, 7:29:34 AM6/26/22

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Hi Robert

On Sat, 25 Jun 2022, RC wrote:
> [image: modified Nexorade made from single strut size.JPG]

Nice model.

To get to it from a dodecahedron, the connection method is like this

https://groups.google.com/g/geodesichelp/c/RFBZ6uFmsjU/m/WiskWJwmBwAJ

But with the triangles (base model vertices), reversed

Although this variant isn't included in the Antiprism rotegrity program,
the raw model can be made with 'wythoff' and then processed with
'rotegrity'

wythoff dod -p [.6V.4E,.4E.6F,VEF,V3EF]0F1ev1_2,e3efv2v3f0 | rotegrity -f 0.4 -t -O r | antiview -v 0.02 -e 0.02

Example based on icosahedral geodesic 1,2 dual (including central sphere
so the units are easier to see):

wythoff geo_1_2_d -p [.6V.4E,.4E.6F,VEF,V3EF]0F1ev1_2,e3efv2v3f0 | rotegrity -f 0.4 -t -O r | antiview -v 0.01 -e 0.01 - std_geo_5 -E invisible -V invisible

I'll review if there is a method to systematically identify all strut
replacement variants (for replacement by a small number of struts). I
have attached an image of another variant I made while trying to make
your version.

Adrian.
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Adrian Rossiter
adr...@antiprism.com
http://antiprism.com/adrian

Screenshot from 2022-06-26 13-26-44.png

Screenshot from 2022-06-26 13-13-23.png

Screenshot from 2022-06-26 13-23-12.png

Adrian Rossiter

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Jun 26, 2022, 8:45:48 AM6/26/22

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On Sun, 26 Jun 2022, Adrian Rossiter wrote:
> https://groups.google.com/g/geodesichelp/c/RFBZ6uFmsjU/m/WiskWJwmBwAJ
>
> But with the triangles (base model vertices), reversed

... and a couple of conections swapped on a unit.

RC

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Jul 16, 2022, 9:53:50 AM7/16/22

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Ashok,

I discovered it accidentally while doodling over another geometric shape I had created. The process is shown visually below. As far as the rectangles, I am not worried. The triangles that are formed lock every member rigidly.