frieze and meander texture

 
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XU-22



Joined: 26 Sep 2006
Posts: 7

PostPosted: Sun Oct 01, 2006 12:33 pm    Post subject: frieze and meander texture Reply with quote

Hi there,

just another suggestion for improvment:

At the moment Bricks'n'Tiles supports and provides
seamless brick textures, border, arch and column
textures.

There is an another brick wall element often used
which has got a horizontal orientation - the frieze.

Examples for such a wall element one can find on
ancient Greek buildings (meander, Greek key), in
the romanesque archirecture (german band) or with
the northern renaissance.

So, how about an additional texture type within
Bricks'n'Tiles - the frieze texture?

--

XU-22
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MrSparkle
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Joined: 05 Jan 2006
Posts: 89
Location: Leipzig, Germany

PostPosted: Sun Oct 01, 2006 3:37 pm    Post subject: Reply with quote

Hi XU-22,

this sounds very interestion, I never thought of that before. Could you please tell more about your idea, how one could integrate this into the workflow with brick textures?

I don't know if I understand you correctly, but creating simple friezes should be possible with the current version of Bircks'n'Tiles. You could use a simple brick texture with one row and a regular column width and one brick texture. This brick texture represents the smalles frieze element. For the visual appearence of the frieze, you need to provide a good bump map, or you could model the frieze in you 3d application and apply a simple brick texture.

Is this what you were thinking of?

Christian
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XU-22



Joined: 26 Sep 2006
Posts: 7

PostPosted: Fri Oct 06, 2006 8:00 pm    Post subject: Reply with quote

Hi Christian,

Actually yes, this is what I was thinking of. Smile

Thank you for your advice. Actually, it is possible
to create simple single row frize textures with the
current version of Bricks'n'Tiles.

But up to the present I couldn't perform a hot
testing if it is possible to create a frieze texture
with two different brick textures - different not
only in frieze pattern but in brick width too. Question

--------------------
From a more mathematical point of view a frieze is
simply a discrete group of a symmetric pattern. That
group is repeated n-times in one direction. Confused

Actually, there exists a complete mathematical
framework which can be used to classify frieze
patterns. Shocked

As you know Wink if there is a mathematical description
of frieze patterns one can implement an automated
procedure to create a variety of nice individual
frieze pattern textures and its bump maps by setting
up some initial parameters and/or adjustment sliders
and make a simple mouse click afterward ... Laughing

Maybe you can use this as an inspiration to a future
improvment of your nice Bicks'n'Tiles. Question

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XU-22
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MrSparkle
Site Admin


Joined: 05 Jan 2006
Posts: 89
Location: Leipzig, Germany

PostPosted: Fri Oct 06, 2006 8:29 pm    Post subject: Reply with quote

Hi XU-22!

That sounds great! I'm going to discover the secret mathematics behind frieze patterns! Smile

I want to ask you if you could post some example images of friezes you want to create with Bricks'n'Tiles, so I could verify my theorie. From what I understand by saying that a frieze is a "discrete group of a symmetric pattern", the program should create a brick pattern - let's say "12345" - then mirroring and append it, so you have a pattern like "12345 54321", which can be repeated all over the cladding. Or is that too easy?

Christian
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XU-22



Joined: 26 Sep 2006
Posts: 7

PostPosted: Sat Oct 14, 2006 12:59 pm    Post subject: Reply with quote

Hi Christian,

... no, it isn't. You are quite right. Smile

Depending on the basic pattern (or patterns) you
could increase or decrease the comlexity. The basic
concept of the whole lot is symmetry within the
pattern group itself.

That is, one can find symmetry groups like yours
above but also the following groups depending on
the basic patterns of the frieze ...

Let A, B basic geometric patterns:

(1) AB, AB, AB, ... or
(2) ABB, ABB, ABB, ... or even
(3) AA^-1, AA^-1, AA^-1, ... and so forth
(4) ... with or without rotations or shift-outs ...

But an automated generation of geometric frieze
patterns with Bricks'n'Tiles is actually a question
of how to create an appropriate bump map for the
basic patterns A,B and their associated, maybe
different brick widths.

And - let me say - there is actually a "small gap"
between a mathematical frieze group and medieval
arts and historic architecture repetative motifs. Cool

Probably, you might get an idea on:

http://www.pitt.edu/~medart/menuglossary/repmotiftable.htm

As I said: Think of it as an inspiration ... Wink

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XU-22
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