Adam Savage's One Day Builds: Rhombic Dodecahedron with Matt Parker

https://www.youtube.com/watch?v=65r_1TzJXaQ


It's not POV-Ray, but you can see where this is going....

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"Bald Eagle" <cre### [at] netscapenet> wrote:
> Adam Savage's One Day Builds: Rhombic Dodecahedron with Matt Parker
>
> https://www.youtube.com/watch?v=65r_1TzJXaQ
>
>
> It's not POV-Ray, but you can see where this is going....

That's interesting.

Go for it !

It will be interesting to see the result.

--
Tor Olav
http://subcube.com
https://github.com/t-o-k

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"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:

> That's interesting.

Yes, especially the space-filling aspect of it, along with some simple ways to
determine the vertice coordinates.
Lots to play with in the future, for sure!

> Go for it !
>
> It will be interesting to see the result.


Oh, OKAY.

Here's a quick render from just inside the surface of a face, and rotated 5
degrees from the "axis" connecting opposite faces.

"Lights" are emissive cylinders connecting 3 edges of each of the 8 rhombi that
form the "caps" to the remaining 4 rhombi comprising the "belt".

Super important: set Max_trace_level to 255.

Hope you like, and others are inspired to explore some other shapes and
reflective experiments.

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Download 'rhombicdodecahedrom.png' (777 KB)

Preview of image 'rhombicdodecahedrom.png'

"Bald Eagle" <cre### [at] netscapenet> wrote:
> "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
>
> > That's interesting.
>
> Yes, especially the space-filling aspect of it, along with some simple ways to
> determine the vertice coordinates.
> Lots to play with in the future, for sure!
>
> > Go for it !
> >
> > It will be interesting to see the result.
>
>
> Oh, OKAY.
>
> Here's a quick render from just inside the surface of a face, and rotated 5
> degrees from the "axis" connecting opposite faces.
>
> "Lights" are emissive cylinders connecting 3 edges of each of the 8 rhombi that
> form the "caps" to the remaining 4 rhombi comprising the "belt".
>
> Super important: set Max_trace_level to 255.
>
> Hope you like, and others are inspired to explore some other shapes and
> reflective experiments.

Yes, I like !

I've been staring at it several times now, trying to figure out what is what.

It's a surprise, and fascinating, that the space seems to be completely filled
with the reflections of the emissive cylinders at the edges.

--
Tor Olav
http://subcube.com
https://github.com/t-o-k

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This is more tricky than it seems at first glance. very well done indeed.

-- 
Thomas

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Thomas de Groot <tho### [at] degrootorg> wrote:
> This is more tricky than it seems at first glance. very well done indeed.
>
> --
> Thomas

Oh my, really?

I thought it was going to be one of those tedious "now I need to look up a table
of vertex coordinates...", but when searching the topic, I found someone had
already done this in blender, and then a reddit thread had the helpful comment
that the coordinates were just a cube, with points at the face centers "puffed
out" by 1/2.

Got that done, made my triangles, ran into a laptop/qtpovray render window
issue, outlined the edges with cylinders, got half the triangle normals wrong,
fixed those, and then just made the cylinders emissive.

So like most things, it took longer than I wanted it to, but it was easier than
I first thought.

The animation of the cube/RD space filling on Wikipedia is pretty cool, and I'm
thinking there ought to be a way to space fill a half plane with these and have
them all indexable by <x, y, z> of the centers, and be able to randomly color or
color by pattern values....   almost like the unit cube centers of crackle.

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Op 03/01/2022 om 12:30 schreef Bald Eagle:
> 
> So like most things, it took longer than I wanted it to, but it was easier than
> I first thought.
> 
Somehow, it looks like a non-repetitive structure disguised as a regular 
one...

-- 
Thomas

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On 31-12-2021 22:01, Bald Eagle wrote:
> 
> Adam Savage's One Day Builds: Rhombic Dodecahedron with Matt Parker
> 
> https://www.youtube.com/watch?v=65r_1TzJXaQ
> 
> 
> It's not POV-Ray, but you can see where this is going....
> 

It is also my favourite shape, because it fills space. It is the voronoy 
space of a ball stacking lattice. If you have Rhombo dodecahedra shapes 
voxels, the  connectedness of foreground and background are 
well-defined. Just as 6-connectedness in 2D space.

In the days that I regularly used POV I also created some other solids 
that filled space. I might use my 3D printer to print some of those for 
the math teacher in my school.

    Andrel

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On 2021-12-31 17:01 (-4), Bald Eagle wrote:
> 
> Adam Savage's One Day Builds: Rhombic Dodecahedron with Matt Parker
> 
> https://www.youtube.com/watch?v=65r_1TzJXaQ
> 
> 
> It's not POV-Ray, but you can see where this is going....

It's a shame the rhombic dodecahedron doesn't get more attention; I
think it's a beautiful shape.  I first learned about it from a book of
crystallography I read when I was 11 years old.

This is a scene I started in 2003, and still revisit occasionally.  The
shape at the right front is a rhombic dodecahedron.  Image
regular-m3.jpg is the scene as of 2006, though it's not substantially
different from the original.  Image regular-new-m11.jpg is as of last April.

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