POV-Ray : Newsgroups : povray.binaries.images : Interesting Shape Server Time
15 Apr 2024 13:56:36 EDT (-0400)
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From: Bill Pragnell
Subject: Re: Interesting Shape
Date: 11 Dec 2021 09:40:00
Message: <web.61b4b710fe478710b96893c06f35e431@news.povray.org>
"Dave Blandston" <IsN### [at] protonmailch> wrote:
> This shape has intrigued me for years

Ah yes, the dodecahedron, dual of the icosahedon!

I have a set of include files for vertices and faces of:
- the Platonic solids
- the Archimedean solids
- the Catalan solids
- the Kepler-Poinsot solids
- the Johnson solids
- the uniform non-convex star polyhedra (51 of those)
- the 59 stellations of the icosahedon

The first 5 of these are in the POV-Ray object collection, although that site is
still currently down in the wake of the server failure earlier this year. I can
repost them here if anyone's interested...

Bill


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From: Dave Blandston
Subject: Re: Interesting Shape
Date: 11 Dec 2021 14:40:00
Message: <web.61b4fe6ffe4787102636f1af607c1b34@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:
> You may enjoy perusing this guy's blog - he's a roofer in CA.   I've never seen
> such an amazing amount of work done for construction design.  If there was a PhD
> in roofing, this guy would have it - and then some!
>
> https://sbebuilders.blogspot.com/


Looking at variations of the M. C. Escher work mentioned above is what reminded
me of this shape. You may appreciate this woodwork as well:
https://midwooddesigns.com/escher-tesselation


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From: Dave Blandston
Subject: Re: Interesting Shape
Date: 11 Dec 2021 14:45:00
Message: <web.61b4ff51fe4787102636f1af607c1b34@news.povray.org>
"Bill Pragnell" <bil### [at] hotmailcom> wrote:
> Ah yes, the dodecahedron, dual of the icosahedon!
>
> I have a set of include files for vertices and faces of:
> - the Platonic solids
> - the Archimedean solids
> - the Catalan solids
> - the Kepler-Poinsot solids
> - the Johnson solids
> - the uniform non-convex star polyhedra (51 of those)
> - the 59 stellations of the icosahedon


I do remember these and this collection is astounding!


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From: Dave Blandston
Subject: Re: Interesting Shape
Date: 11 Dec 2021 14:50:00
Message: <web.61b500b7fe4787102636f1af607c1b34@news.povray.org>
RSOCP version


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Attachments:
Download 'escherball.jpg' (85 KB)

Preview of image 'escherball.jpg'
escherball.jpg


 

From: Ton
Subject: Re: Interesting Shape
Date: 11 Dec 2021 18:40:00
Message: <web.61b536acfe478710870605757597fb06@news.povray.org>
"Dave Blandston" <IsN### [at] protonmailch> wrote:
> RSOCP version

That's a nice one!

Cheers
Ton


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From: Dave Blandston
Subject: Re: Interesting Shape
Date: 12 Dec 2021 21:55:00
Message: <web.61b6b5dbfe4787102636f1af607c1b34@news.povray.org>
"Ton" <ton### [at] gmailcom> wrote:
> That's a nice one!
>
> Cheers
> Ton


Thanks! One can never go wrong with the RSOCP!


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From: Thomas de Groot
Subject: Re: Interesting Shape
Date: 14 Dec 2021 02:39:17
Message: <61b84a25$1@news.povray.org>
Op 11/12/2021 om 01:23 schreef Dave Blandston:
> This shape has intrigued me for years and when I tried to reproduce it with
> POV-Ray I initially failed. I know it would be trivial for the rest of you guys
> but I had a difficult time with it and I had to cheat to figure out the angle
> for the facets. I first saw this shape in the M. C. Escher lithograph
> "Reptiles."
> 

Yes, those shapes are surprisingly tricky when you try to model them 'ex 
nihilo'. I hit that wall too. So, well done indeed. Where are the 
reptiles? ;-)

-- 
Thomas


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From: Dave Blandston
Subject: Re: Interesting Shape
Date: 14 Dec 2021 06:10:00
Message: <web.61b87a8efe4787102636f1af607c1b34@news.povray.org>
Thomas de Groot <tho### [at] degrootorg> wrote:
> Where are the reptiles? ;-)


What do you know, somebody actually gave it a try
http://graphics.stanford.edu/courses/cs348b-competition/cs348b-01/escher/

Some key elements are missing but it's a good start!


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From: Bald Eagle
Subject: Re: Interesting Shape
Date: 14 Dec 2021 07:20:00
Message: <web.61b88b01fe4787101f9dae3025979125@news.povray.org>
"Dave Blandston" <IsN### [at] protonmailch> wrote:

> What do you know, somebody actually gave it a try
> http://graphics.stanford.edu/courses/cs348b-competition/cs348b-01/escher/

Wow - that's a really good job!

(Not to hijack the thread - but I have C. S. Lewis' _That Hideous Strength_
sitting off to the side, and this thread title really ties in with it.)


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From: Dave Blandston
Subject: Re: Interesting Shape
Date: 14 Dec 2021 14:05:00
Message: <web.61b8e9d7fe4787102636f1af607c1b34@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:
> (Not to hijack the thread - but I have C. S. Lewis' _That Hideous Strength_
> sitting off to the side, and this thread title really ties in with it.)


No worries - there's only so much that can be said about one shape... I'm glad
you reminded me to add The Chronicles of Narnia to my reading list. A teacher
read some of the books to us when I was in about fourth or fifth grade and I was
entranced by them but the school year ended before she finished reading us all
the books and I've always wanted to read the whole series.


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