Hello,

Nothing spectacular here, just a render showing how an icosahedron can 
be made using 20 tabbed triangles of paperboard. There are extra tabs 
that you can barely make out; they go under the obvious tabs you can see.

I shamelessly ripped rotation values from "shapes2.inc."

Questions and comments, welcome as per usual :)

Sam

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Download 'lbtest2_54.jpg' (43 KB)

Preview of image 'lbtest2_54.jpg'

stbenge <stb### [at] hotmailcom> wrote:
> Hello,
>
> Nothing spectacular here, just a render showing how an icosahedron can
> be made using 20 tabbed triangles of paperboard. There are extra tabs
> that you can barely make out; they go under the obvious tabs you can see.
>
> I shamelessly ripped rotation values from "shapes2.inc."
>
> Questions and comments, welcome as per usual :)
>
> Sam

I always like the ethereal feel of your images.  This is no exception.  I'll
have to check out shapes.inc too.  That would make this sort of thing much
easier.  Probably takes about as much time as it does to make the real thing.
It really is very relaxing to make these things.  That's probably why I have a
whole shelf of them at home!

 - Ricky

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triple_r wrote:
> I always like the ethereal feel of your images. This is no exception.

TR,

Thanks! FYI, I used two area_illuminate area lights and in-POV luminous 
color bleeding for this render. The model is not that good; I slapped it 
together much too quickly :/

> I'll
> have to check out shapes.inc too.  That would make this sort of thing much
> easier.  Probably takes about as much time as it does to make the real thing.
> It really is very relaxing to make these things.  That's probably why I have a
> whole shelf of them at home!

I modeled this after one I have sitting on my shelf. I agree, making 
things like this is relaxing, and figuring out new ways to hook them 
together is also fun :)

If you find a way to match the edges of the triangles in POV, let me 
know. I've been busting my head all afternoon trying to figure it out! 
Edge matching would allow me to make some more interesting forms, like 
Escher-esque wicker baskets ;)

Sam

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stbenge <stb### [at] hotmailcom> wrote:

> If you find a way to match the edges of the triangles in POV, let me
> know. I've been busting my head all afternoon trying to figure it out!
> Edge matching would allow me to make some more interesting forms, like
> Escher-esque wicker baskets ;)

Not sure if it's what you're getting at, but perhaps take a look at my most
recent post in p.b.s-f.  The shape is a bit simpler than an icosahedron, but
the principle should be the same.  The general idea is as follows:

1) Set up two coordinate systems (x,y,z and a point).  Call them A and B.  These
can be calculated manually from vertices with vector operations.  We want to
link object A to some point in B.

2) Transform some point in B-coordinates, say <1,0,0> into the B frame of
reference to get its representation in absolute coordinates.

3) Inverse-transform it with the A coordinate system to get its corresponding
representation in A-coordinates.

4) Create an object in the A frame of reference at this point and transform it
into the A coordinates, except now it's at exactly the correct point in B
coordinates!

The result of this, if anyone can follow it, is that you can properly link
objects from two different coordinate systems with splines or whatever you
like.  If it's a regular geometric object, you can just labor over one part and
copy it symmetrically.  Nothing new, just a bit of vectors and matrices.  Works
for direction vectors too, just omit the translation when transforming.  Again,
the example file uses this, if you can decode what's going on.

 - Ricky

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triple_r wrote:
> stbenge <stb### [at] hotmailcom> wrote:
> 
>> If you find a way to match the edges of the triangles in POV, let me
>> know. I've been busting my head all afternoon trying to figure it out!
>> Edge matching would allow me to make some more interesting forms, like
>> Escher-esque wicker baskets ;)
> 
> Not sure if it's what you're getting at, but perhaps take a look at my most
> recent post in p.b.s-f.  The shape is a bit simpler than an icosahedron, but
> the principle should be the same.  The general idea is as follows:
...

Yeah, I'll check that out soon.

You just gave me an idea to try vtransform(). Or maybe your code uses 
that already. At any rate, I hope to make some progress, but not tonight 
≡blink≡ :|

Sam

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"triple_r" <nomail@nomail> schreef in bericht 
news:web.48253761fff24494dcb320720@news.povray.org...
> Not sure if it's what you're getting at, but perhaps take a look at my 
> most
> recent post in p.b.s-f.....

p.t.s-f?

Thomas

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Looks like white (tin) metal or like aluminum. But the idea is good, and it 
looks okay.

Sven



"stbenge" <stb### [at] hotmailcom> schrieb im Newsbeitrag 
news:4824d946@news.povray.org...
> Hello,
>
> Nothing spectacular here, just a render showing how an icosahedron can
> be made using 20 tabbed triangles of paperboard. There are extra tabs
> that you can barely make out; they go under the obvious tabs you can see.
>
> I shamelessly ripped rotation values from "shapes2.inc."
>
> Questions and comments, welcome as per usual :)
>
> Sam
>

Post a reply to this message

Sven Littkowski wrote:
> Looks like white (tin) metal or like aluminum. But the idea is good, and it 
> looks okay.
> 
> Sven

Well no, it's not okay. On my screen it looks like light-grey paperboard 
(aka cereal box), or thick parchment paper. If it looks like metal to 
you, gamma issues might be at work. Of course, there's always the 
possibility that my perception is way off whack or something.... I wish 
there was some way to see what you're seeing.

Anyway, thanks for the reply!

Sam

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stbenge nous illumina en ce 2008-05-10 16:35 -->
> Sven Littkowski wrote:
>> Looks like white (tin) metal or like aluminum. But the idea is good, 
>> and it looks okay.
>>
>> Sven
> 
> Well no, it's not okay. On my screen it looks like light-grey paperboard 
> (aka cereal box), or thick parchment paper. If it looks like metal to 
> you, gamma issues might be at work. Of course, there's always the 
> possibility that my perception is way off whack or something.... I wish 
> there was some way to see what you're seeing.
> 
> Anyway, thanks for the reply!
> 
> Sam
For me, it's clearly made out of cardboard bieces. For a moment, I even wondered 
if it was a photo or a render...

Alain

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Alain wrote:
> stbenge nous illumina en ce 2008-05-10 16:35 -->
>> Sven Littkowski wrote:
>>> Looks like white (tin) metal or like aluminum. But the idea is good,
>>> and it looks okay.
>>>
>>> Sven
>>
>> Well no, it's not okay. On my screen it looks like light-grey
>> paperboard (aka cereal box), or thick parchment paper. If it looks
>> like metal to you, gamma issues might be at work. Of course, there's
>> always the possibility that my perception is way off whack or
>> something.... I wish there was some way to see what you're seeing.
>>
>> Anyway, thanks for the reply!
>>
>> Sam
> For me, it's clearly made out of cardboard bieces. For a moment, I even
> wondered if it was a photo or a render...
> 
	Same here, clearly cardboard or thick paper.

		Jerome
- --
+------------------------- Jerome M. BERGER ---------------------+
|    mailto:jeb### [at] freefr      | ICQ:    238062172            |
|    http://jeberger.free.fr/     | Jabber: jeb### [at] jabberfr   |
+---------------------------------+------------------------------+

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