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25 Jan 2022 18:28:16 EST (-0500)
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From: Dave Blandston
Subject: Interesting Shape
Date: 10 Dec 2021 19:25:00
Message: <web.61b3ef8e3c76231e2636f1af607c1b34@news.povray.org>
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."

Have a blessed day everyone!

Kind regards,
Dave Blandston


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From: m@b
Subject: Re: Interesting Shape
Date: 10 Dec 2021 19:47:09
Message: <61b3f50d@news.povray.org>
On 11/12/2021 8:23 am, Dave Blandston wrote:
> 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."
> 
> Have a blessed day everyone!
> 
> Kind regards,
> Dave Blandston

Well done - I made some similar shapes in a recent project, so I know 
how a seemingly simple shape can be a devil to model.

m@


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From: Paolo Gibellini
Subject: Re: Interesting Shape
Date: 11 Dec 2021 05:27:15
Message: <61b47d03$1@news.povray.org>
Il 11/12/2021 01:23, Dave Blandston ha scritto:
 > 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."
 >
 > Have a blessed day everyone!
 >
 > Kind regards,
 > Dave Blandston
 >

Everything is perfectible, but the composition is very nice, and I also 
like the light!

Paolo


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From: Bald Eagle
Subject: Re: Interesting Shape
Date: 11 Dec 2021 08:30:00
Message: <web.61b4a7c6fe4787101f9dae3025979125@news.povray.org>
"Dave Blandston" <IsN### [at] protonmailch> wrote:
> 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."
>
> Have a blessed day everyone!
>
> Kind regards,
> Dave Blandston

The dodecahedron is a very cool Platonic solid, with more interesting properties
than one can imagine.

At least we have it easy with POV-Ray and computer graphics and can employ some
tricks.  Imagine having to make this thing out of wood on a table saw - where
you not only have the angles of the faces to one another, you have the compound
angles of the edges and corners...   :O

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/


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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:
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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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