Hyperbolic Tiling Challenge

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SpaceRay And also I still do not know HOW to convert a hyperbolic tiling sphere into the unwrapped version in linear 2D I mean to make make it in a rectangular way instead of the spherical one as shown here

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Skybase Use polar coordinates in Photoshop. Make sure the image is a square, and the item is dead centered.

Well, I have followed your suggestion and made it Polar Coordinates in Photoshop but is does not work in the same way as I have shown in the image above, because Photoshop will always keep the original size (same as FF too) and will not resize the image IF the result of the filter requires it.

If you can see above in the example I have shown here, you have a circular hyperbolic tiling, and then the 2D unwrapping makes it much larger in the sides and becomes a long rectangle, and NOT a square as it happens with Photoshop or using FF with Polar coordinates.

DEAD CENTERED EXAMPLE

Here below is an hyperbolic tiling that is dead centered

As you can see above, it have exactly the same width as the original, so as I said you can´t make the filter resize the result, but this can be done later as I have done here

Resized the image width from 618 to 1400

Well, I think that for now the only way is to fake it and copy and paste the result above and flip it, also in the same way that you need to enlarge it, is also needed to reduce the height in half so the distortion is reduce to the real size and not enlongated vertically

Here is the final result

Well, good luck SpaceRay. lol

Hey, I found this interesting. Here is my try



Hyperbolic Tiles 1.ffxml

I have made some new creations using this amazing and awesome filter and this time I have used as source image the results from 10 Images or Photo Stripes Mix



But as this is too small to see the details, so I have shown already enlarged versions in In this other thread here please, see them there.

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EAdams I just spent an hour mesmerized by beautiful random variations rendered by this filter

YES, this filter can give THOUSANDS of different beautiful random variation with very few source images used, I mean that with just one you can get LOTS of different variations and get many lovely creations. Learn how to use right the settings and you will get even better results.

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EAdams I've never tried meditation, but I'm sure this is better for inner peace

I have tried meditation but I could not do it, but you are right that using this filter and watching the results can be a good thing for the inner peace

5 REASONS TO BUMP AGAIN THIS THREAD

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1 - IT IS AMAZING AND AWESOME

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uberzev wrote: Bump because I just re-discovered this awesome thread

Well, I bump it again because I agree with you and is really amazing and awesome that this kind of hyperbolic tiling is possible to be made with FF and that it has LOTS of different uses

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2 - LINK to the filter made by inujima that is found on page 2

Hyperbolic Tiling Filter made by Inujima

This is the one that has been used for all the examples on this thread

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3 - KALEIDOSCOPIC HYPERBOLIC TILING?

The second reason for this post is to put something I have found that I think it looks cool also, and is that it has been done a Kaleidoscopic image with Hyperbolic Tiling as shown in this Flickr page

Hyperbolic Pattern 11 by Ross Hilbert

I think it would be cool to try to make this in FF too

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4 - KALEIDOSCOPIC AND FRACTAL HYPERBOLIC TILING

Hyperbolic Pattern 20 by Ross Hilbert

And if you think that the above is not complex enough, let´s then throw in also a fractal distribution

When seeing this I remember what Rick Duim has done with the FF fractals, but do not know if this would be really possible

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5 - HYPERBOLIC TILING FOR ORGANIC SHAPES

ThreeDee has put this great idea to be used here

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ThreeDee wrote in this thread Is someone here capable of making a filter that can do this. You can do this with Inujima's Hyperbolic Tiling, maybe that's a suitable starting point for this?

to be able to make something like this



I agree with ThreeDee, It surely is a starting point and try to add disrtortion components

7 years ago this was really awesome and very cool, interesting, awesome and amazing

And I have been working since then in making more advanced and with more features and possible things

In 2018 I made this other threads with many additional ideas and inspiration examples with images that I had found

Hyperbolic Tiling Challenge 2018 expand the original idea with FF 7

so from all these I decided to try to make this filter found in this thread with the following additional features

1 - Adding more settings (Already made)

2 - Adding textures and images to the triangular parts (Already made)

3 - Adding Kaleidoscope options that opens a big wide new world (Already made)

4 - Change Shape from Circular to Square, triangular, or any other polygonal shape (Already made)

5 - Make it in fractal shapes (did not try yet)

6 - Have the Inverse hyperbolic tiling that was not available and finally after much time I could find a way to do it (Already made)

7 - I want to also have a donut shape (have a hyperbolic hole in the center) but have not found yet a way to do it

8 - Add additional inside shapes (not only circles as shown above here in another post) for the hyperbolic tiling, so you could have a hyperbolic square, or triangle or hexagonal tiling (see below the link to show graphic examples), but although have made many tests and trying different ways I could not find a way yet to do it.

9 - Unfold the hyperbolic design into a straight line as shown on some parts of this thread. (tried it but do not work as expected and gives wrong result and still not know yet how to do it)

For graphical images examples of some of these you can see the link shown here in this website and search for the third section that is titled Conformal Mappings of the Poincaré (7,3) Hyperbolic Tiling

When I can clean, try, test and organise the settings and make it easy to use I will upload it to the library although will wait until FF 12 is available

MAIN REASON AND ESSENTIAL I DID NOT MADE IT YET public and shared here?

One of the main reasons for not continued this is because it would be REALLY USEFUL AND AWESOME that FF could have some way to SEPARATE AND GROUP settings of a filter and so be able to make it MUCH EASIER for the users to understand and use a filter that may have multiple different parts, and after 10 YEARS waiting for this that was already requested many times.

in these 10 years there have been already MANY request from many forum users for this since many years ago but until now in 2022 is still not available even when should be something simple.

Add Separator search in forum will give a lot of results

Will wait to see if maybe it could be finally included in FF 12

so from the example above of the presets I can have a whole list of all the available preset combinations and can be able to choose the one I may want to use

For example if I choose the 691 it would be the settings as shown here

instead of input your own images or plain colors, using FF you can also use other filters that may work with hyperbolic tiling as an alternative way.

For example here is a good example using the awesome and beautiful Heptaflower by Rachel Duim


and here is a zoom detail

and the best thing comes when you add the kaleidoscope effect to the result, for example if you use the above result with kaleidoscope you can get this

with kaleidoscope there are a lot of different and multiple options but will not continue with it now

Here is another different kind of hyperbolic that is not based on the previous shapes and is based totally on stripes

and here is a more advanced one using FF lifesaver and outline color edges and just one image so it can clearly be seen the hyperbolic shape of the tiling

here is something similar (is not like this one) but in some way should be symmetrical as this although not with the same shape

this example is from the great expert in hyperbolic that is Vladimir Bulatov

and repeating the gradient with 5 colors

and here is using the FF spectrum gradient in hyperbolic way

here is the same but using 5 color gradient

and something different that I have not seen and is possible thanks to the ThreeDee Arial alphabet and is replacing the hyperbolic shape with individual letters as shown for example here with the "C"

and with U letter you get something like tree branches

this is mixing a hyperbolic image with another one using double tiling that is using two hyperbolic images mixed in just one with color edges outlines

This hyperbolic technique has a huge potential to make many different things although it can not be done all in a single filter because FF is not created for switching off and on some additional component settings

I have around 14 hyperbolic filters with different settings, options and features because there is no way to separate the optional setting that you could modify and that not all would work if something is not selected

I am sorry that I did not upload any of the filters I have made because I have made a big mess inside the filters with many different components and varied experiments mixed together, and a mess also in the settings, and you would not understand how to use it and how it works.