Hello, my name is Amber and I'm reaching out on behalf of Dr. Teplow, who was interested in using your figure for a book. It is a commercial project on philosophy of science, so your lovely figures display the concepts he discusses very well. Would it be possible to receive copyright permissions even though it is a commercial project?
Hello Amber, you have permission to use images made on my site for the book, even though it is a commercial project. Kind regards, Malin
Thank you so much for making math so accessible and easy to use. I found your wonderful fractal program while looking for a way to use fractals to make a duvet cover for my mathy son. I created a cafe press page for my art to be useful . . . I hope you might please give permission for me to use the images I created with your fractal generator as part of my commercial Cafe Press web site (and for my son's duvet cover). Thank you again for you great site! Jenn Serene
Thank you for your kind words! You have the permission to use images created from my site for your Cafe Press web site, and for your sons duvet cover (that’s a neat idea). I wish you all the best! Malin
Hej Malin. Jag får börja med att tacka dig för din hemsida där man kan lära sig GeoGebra. Jag håller på att rita en graf där man kan simulera en värmepumps värmekurva. Y-axeln skall gå från +20 upp till +90 grader. X-kurvan skall gå från vänster +20 via 0 på mitten ut till -20 på höger sida. Men jag hittar inte hur man vänder på X-axeln från default minus till plus, till från plus till minus. Vet du möjligen hur man gör? Stort tack på förhand för din hjälp! //Mats
Hej Mats och tack för de vänliga orden. Så vitt jag vet går det inte att ändra riktning på x-axeln. Om det är till en demonstration kan man fuska, dvs inte visa koordinataxlarna utan istället visa vektorer man själv lagt in som ska se ut som koordinataxlar. Jag vet att jag har gjort det i vissa sammanhang. Det blir inte lika dynamiskt som med GeoGebras koordinataxlar men kan funka i vissa sammanhang. Jag vet inte om en sådan fusklösning kan funka i ditt fall. /Malin
God evening, my name is Filippo Bartoletti, I am an Italian student at the Math University of Bologna. I am doing my thesis on Poincaré model's tessellations, and I've discovered this beautiful site, in particular the page where you can create tilings using an image. So I wanted to ask you for the copyright permission, but unfortunately a few days ago that page stopped working. I really hope it can be fixed very soon, so I could insert a few creative figures in my thesis. Regards, Filippo.
Good evening Filippo. Others have told me about the problem with the site. I think it is because of a new version of php (which I use to program the site). The new version is not compatible with my code. I will look into it this weekend and see to it that it works again. And yes, you can use images made from the site for your theses. You have my permission. Regards, Malin
Hi, Malin. I am Yuri Proshin and I used your excellent animations to showcase to students during my lectures. Specifically, I used the Lorenz Interactive Attractor. Unfortunately, today I found that this page (and many others!) isn't open. Is this my problem or is there another reason? Could you tell me about this? Thank you for a great job. Regards, Yurii
Hi Yuri! Thank you for telling me this. I suspect that it has to do with a new version of php (the programming language I use for the site). I have seen warnings about this new version, but ignored it since I haven’t had time to update the code. I will now try to update my code as soon as possible.
Hi Malin, My name is Renee Treml and I’m a children’s book writer and illustrator in Australia. I’m working on my third graphic novel set in a museum, the first two are: Sherlock Bones and the Sea-Creature Feature and Sherlock Bones and the Natural History Mystery. I’d love to use 3 of the fractal images I generated in the science-art exhibit in the book. The book is a commercial product printed by a publisher so I would need your permission to use. Thank you!
Hi Renee! Feel free to use the images, even if it is for a commercial product. You have my permission. Cheers!
Hi Malin, I love your programs that turn photos into fractals and hyperbolic tilings. Do you have these programs available for off-line use? Mark
No sorry. It is all made in Javascript for online use.
Hi Malin. My name is Ben Stern and I'm submitting a paper on nonlinear dynamics to a medical journal and wondering if I might use your Lorenz image in the piece? If it is, how would you like to be cited?
Hi Ben, and sorry for the late reply. If it’s not too late, give credit to Malin Christersson and possibly with a link to the site.
Cheers!
Malin
My name is Andrew Garnar and I am currently finishing a book manuscript. I would like to include a figure that I generated using your website. It is being published Lexington Books, which is a commercial press. Would using this image be possible? Thank you very much for your time. Andrew
Please use the image! I feel honored. Just give some credit to me or my website. This answer is a permission to use it even though it is for a commercial product.
/Malin
Orbit trap fractal animation of Mona Lisa eye roll - variations of the polynomial degree, n, in the recursive function f(z)=z^n+c.
High resolution on YouTube: https://youtu.be/TRsdRJc3RcA
Orbit trap fractal animation of Mona Lisa eye roll
High resolution version on YouTube: https://youtu.be/T3X7yD88eE0
Degree 5 orbit trap animation,
(i.e. the recursive formula f(z)=z^5+c has degree 5)
A 2160*2160 pixels version on YouTube: https://youtu.be/I8Tx8--rioI
Another Mona Lisa eye roll
(since I’ve just learnt how to make video using Python and OpenCV)
A bigger image used on YouTube: https://www.youtube.com/watch?v=TO031w_o1vw
Twisting Apollonian gasket.
Generated as a limit set. http://www.malinc.se/math/geometry/apolloniangasketen.php
I’ve translated Swedish material to English.
Hello Malin, I found your website while looking for interactive Lorenz system. I would like to learn making things like these. Can you suggest where can I start, from mathematical and programming standpoint, apart from basics? Thank you.
My Lorenz attractor is made using Javascript and the 3d library three.js. If you are a novice programmer I would not recommend using pure Javascript for visualisations. In my opinion the easiest programming language for making math visualisations is Processing, (https://processing.org) or the Javascript version of Processing called p5.js (https://p5js.org). You can start programming p5.js using online editors such as https://editor.p5js.org/ or https://www.openprocessing.org/, search on YouTube for tutorials. On OpenProcessing you can search for “Lorenz attractor” and then study the code of various examples. These are not 3d, but to begin with, learn how to handle 2d.
