It is currently Sun May 12, 2024 4:28 pm


All times are UTC - 5 hours [ DST ]



Post new topic Reply to topic  [ 5 posts ] 
Author Message
 Post subject: Online tool for generating Poincare Discs.
PostPosted: Tue Jan 09, 2024 12:34 am  (#1) 
Offline
GimpChat Member
User avatar

Joined: Sep 24, 2010
Posts: 12521
site: https://www.malinc.se/m/ImageTiling.php

Haven't had any luck getting the bots to create them, so did a search and found this cool site. Added some embellishments to the result (and it could use more tlc, but left it be). :)


Attachments:
Floral Poincare Disk.jpg
Floral Poincare Disk.jpg [ 1.81 MiB | Viewed 693 times ]

_________________
Lyle

Psalm 109:8

Image
Share on Facebook Share on Twitter Share on Orkut Share on Digg Share on MySpace Share on Delicious Share on Technorati
Top
 Post subject: Re: Online tool for generating Poincare Discs.
PostPosted: Tue Jan 09, 2024 5:06 am  (#2) 
Offline
GimpChat Member
User avatar

Joined: Jan 20, 2013
Posts: 14816
Location: roma, italy
Lyle, did you ask David on Pixls whether the function coud be provided by G'mic?

_________________
"Where am I ?"


Top
 Post subject: Re: Online tool for generating Poincare Discs.
PostPosted: Tue Jan 09, 2024 9:03 am  (#3) 
Offline
GimpChat Member
User avatar

Joined: Sep 24, 2010
Posts: 12521
No; have not. I do ask for too mucheth from David though (packed elipse for instance). Perhaps you can ask, Diego. ;)

:)

_________________
Lyle

Psalm 109:8

Image


Top
 Post subject: Re: Online tool for generating Poincare Discs.
PostPosted: Tue Jan 09, 2024 10:09 am  (#4) 
Offline
GimpChat Member
User avatar

Joined: Jan 20, 2013
Posts: 14816
Location: roma, italy
Posted question to PIXLS.

In the meantime generated the following transformations using CIRCLEtoSQUARE/SQUAREtoCIRCLE currently available on G'mic.

Attachment:
Floral Poincare Disk CIRCLEtoSQUARE.jpg
Floral Poincare Disk CIRCLEtoSQUARE.jpg [ 2.35 MiB | Viewed 635 times ]


Attachment:
Floral Poincare Disk.SQUAREtoCIRCLE.jpg
Floral Poincare Disk.SQUAREtoCIRCLE.jpg [ 1.72 MiB | Viewed 635 times ]


A divertissement...

PS:But they reveal also that the function you found and used seems to be not perfect (in the sense of being a perfectly composed "circle"). Or maybe the input was not suitable. IDK.

_________________
"Where am I ?"


Top
 Post subject: Re: Online tool for generating Poincare Discs.
PostPosted: Wed Jan 10, 2024 2:42 am  (#5) 
Offline
GimpChat Member
User avatar

Joined: Jan 20, 2013
Posts: 14816
Location: roma, italy
David can do it, it answered:
Looking at the images, it seems that this could be easily doable if we know how to define the mapping
(u(x,y),v(,y)) corresponding to this transformation.
No time to dive into the maths right now, so if you find the formula somewhere on the web, let me know, I’ll try implementing it.

Lyle, please, look into PIXLS and tell David whether you can find that mapping.

_________________
"Where am I ?"


Top
Post new topic Reply to topic  [ 5 posts ] 

All times are UTC - 5 hours [ DST ]


   Similar Topics   Replies 
No new posts Starting an online art gallery

3

No new posts Attachment(s) Free Online Photoshop Clone

11

No new posts Attachment(s) Smudge tool in 2.10.10

2

No new posts Paths Tool Help

1

No new posts Attachment(s) Need Help with using the cloning tool

3


cron

* Login  



Powered by phpBB3 © phpBB Group