Twelve years. I started this project twelve years ago, and today I hold the result in my hand. It’s a book that combines bead weaving with math called, “Beading with Algorithms: Cellular Automata in Peyote Stitch.” With help from mathematician and artist Roger Antonsen, graphic designer Zelda Lin, a handful of talented proof readers, and the good people from World Scientific Publishing Company, my dream of combining my loves of math, art, and teaching into a book is finally a reality.

This book is the first of its kind, a recipe book of algorithms that can be used and combined to generate colorful patterns in peyote stitch beadwork in any size and shape you desire. These algorithms could also be applied to other pixelated art forms like tile laying, embroidery, crochet, and quilts. We included projects like bracelets, pill pouches, pendants, beaded beads, and key chains. We also included a bunch of different grids that you can photocopy and color with markers.

Of course I’m biased, but I think it’s a really beautiful book. We included multiple colorful images on almost every page, 172 pages in all. It was a huge layout challenge, but Zelda nailed it. My original goal was to write 128 pages on how to use algorithms to make beaded jewelry, but the more we explored the space, the more we found. Not just millions of algorithms, the space of possibilities is infinite. So of course, we couldn’t include them all. But we used math and Roger’s custom software that he wrote for this project to help us find dozens of the easiest algorithms and more than a hundred more in increasing levels of complexity. We included all of our favorites. 1/2

#MathArt #beading #Genuary #math #beadweaving

We found so much to include that the book ended up a full third longer than I had originally planned. It took years longer than I originally expected. But it was a labor of love, a passion project, something we made because we wanted to make something beautiful and inspiring. I can hardly believe it’s finally finished. I hope you will love it too.

Link to order the book: https://www.worldscientific.com/worldscibooks/10.1142/14357#t=aboutBook

There’s a 30% off code
RECMATH30

It’s preorder. The release date is the end of February. 2/2

#MathArt #beading #Genuary #math #beadweaving

@gwenbeads hi ya, just ordered it. Looking forward to it.
@littlescraps thank you. I hope beading with algorithms brings you some of the joy it’s given me.
@gwenbeads oh I think I am really going to have fun with it!
@gwenbeads @GinevraCat Can't wait for my copy!!! Congratulations - this looks amazing!
@RosyMaths @GinevraCat thank you so much Rosy. I hope you find a similar joy to what I have from beading with algorithms. It’s very meditative.
@gwenbeads @GinevraCat I am more mathsy than art-y, but really enjoy handcrafts. So I'm sure I'll love it!
@RosyMaths @GinevraCat the book actually has a fair amount of math in it. However the math is more observational, rather than proof-based, because I didn’t want to scare away the artists. Since most of our math observations come without proof, I think there is a lot there for mathematically interested folks to consider and explore, too. I’m hoping the book will spawn a few senior math theses, in particular. Some of our observations might even be harder than that. I don’t know because I didn’t try to write the proofs. Instead I wanted to make a recipe book of algorithms for artists. Since you enjoy hand crafts, you can also apply our algorithms to coloring or embroidery. Thank you for your interest and support.
@gwenbeads pre-ordered, looking forward to it. We just had a family friendship bracelet night last night 😀
@grease thank you very much. I hope you enjoy making art with these algorithms as much as I have. As a family, you can all choose the same algorithm, but each use different colors and a different initial condition, and you’ll all get a different piece of art.
@gwenbeads that's so cool. Will def appeal to the kiddos 🤗
@gwenbeads so looking forward to going through the book, and I know a few family members who will enjoy it too.

@gwenbeads will there be an ebook?

Thank you!

@gwenbeads Thank you so much for the notice and discount code! Being an extreme novice in mathematics I am a bit wary but when I read the time and devotion you took to write this...how could one not considering purchasing it. Going to follow #beading and other tags. ☀️

@tinfoiling thank you! Working on this book became a side hobby. After year 3, it gave me and my friends who worked on it a reason to meet regularly and chat about our progress and other cool math and art stuff.

Unless we sell 100,000 copies, it’s never going to pay for all the time we put in it, and that’s okay. It was fun, beautiful, and content worth sharing with the world. But maybe, just maybe, we’ll sell 100,000 copies. That’s only 1 in every 83,000 people.

@gwenbeads I definitely don’t need this book, but it looks beautiful, and your passion is contagious. So now you only need to sell 99,999 to break even.
@provuejim awe thanks Jim. I promise it will be worth at least half of what you paid for it or half your money back. 😉
@gwenbeads thanks this is intriguing. I have pre-ordered
@gwenbeads oh man, this is beyond cool. Absolutely gonna throw this around to everyone I know.
@gwenbeads
Wow, this looks amazing! My kid and I both love math and crafts. Instant pre-order!!! 😍
@gwenbeads Thanks! Shared the link with a needlework enthusiast who is also raising a math nerd.
@gwenbeads can't wait to get my copy!

@fractalkitty @lizzard @paul_ipv6

Thank you so much for your interest and enthusiasm for this project!!!!

@gwenbeads

Thanks for the discount code. More than covered the shipping on the softback.

@gwenbeads Will include in the next edition of Geometry Links - http://geometrylinks.blogspot.com

Congratulations on the book and its publication

geolinks

@gmoke thank you for helping me get the word out about my new book!
@gwenbeads not all algorithms are bad! 👏👏👍
@gwenbeads congratulations Gwen! ✨🎉✨ Exciting!
@gwenbeads Wow, that looks fascinating! First thing I've seen that makes me want to take up beading!
@MyYeeHaa thank you. Sure, you could take up beading; there’s a whole chapter on weaving beads. If that’s not your style, you could retile the bathroom or kitchen. The algorithms would work perfectly with ceramic tiles: squares, rectangles, or regular hexagons.
@gwenbeads
Ordered!!
@MyYeeHaa thank you so much. I hope it brings you some of the enjoyment that it’s brought me. I find the process of beading with algorithms (or even coloring with them) is very meditative. It’s good to calm an anxious mind.
@gwenbeads this looks like a book that @standupmaths would take way too seriously, and then recruit some students to attempt a world record with
@MisterMadge @standupmaths perhaps the largest patch of 1D cellular automata that doesn’t repeat. I’d love to see it!
@gwenbeads Wow, congratulations!
@gwenbeads That looks great. I may have to order it; and I don’t even do beading!

@UweHalfHand thank you. It’s a pretty book full of pretty pictures. Maybe that’s enough. One of my goals was to make it pass “the flip test,” meaning when you quickly flip through the pages, there’s an explosion of colorful images. When I’m in bookstores, I always use the flip test when deciding which books to buy for myself because I like pictures more than text.

There’s a complete chapter on bead weaving, but if you don’t want to learn beading, you could color the coloring pages. It’s very meditative. Or maybe you know how to lay tile, and you could use the algorithms to tile the bathroom or kitchen. The algorithms all work with grids using squares, rectangles, or regular hexagons.

@gwenbeads I’m sorry to say I was not able to preorder it. The website got to “select shipping” for which the only choice was “select”, and the “continue” button looped back to the same page. If you have contacts there, you might ask them to investigate. I’ll try again later and from another computer…
@gwenbeads Your book just arrived today, and it looks quite lovely! I am gonna do some reading tonight
@UweHalfHand excellent! Thank you. If you get inspired and make art with it, I hope you’ll share it with me.
@gwenbeads Absolutely! I don’t guarantee that I’ll take up beading, I do have a number of things to do already, but if I do make something I promise I will share!
@UweHalfHand my hope is that people will apply the idea to other crafts. The algorithms are applicable to all kinds of other media.
@gwenbeads Yes, they certainly are. I’ve played with cellular automata in the past (purely on a computer)
@toxi You might enjoy this book!
@gwenbeads oh AMAZING!!! congrats on publishing it!!!!
@gwenbeads that’s fantastic.
@gwenbeads just checking names, was the Roger you mention Norwegian?
@loopspace yes. Roger Antonsen was a math professor at University of Oslo, Norway. Sadly, he passed away, it will be two years this April. He and I worked on this project for about seven years together.

@gwenbeads I suspected as much.

He was a lovely person. I wouldn't say I knew him very well, but when I lived in Trondheim we got into the habit of having a coffee and a talk about maths whenever he visited the city.

I was already inclined to buy your book. That just seals the deal.

@loopspace Roger Antonsen was a spark of light, a genius at math, logic, coding, and mathematical art. He was kind and funny. I learned a lot from him, and I was lucky to have as much of his attention as I did. Many of the deeper mathematical observations in our book were Roger’s, and he wrote all the code that we used for the illustrations that appear on almost every page. I miss him dearly.
@gwenbeads this sounds like a real labor of love, I'm looking forward to flipping through my copy 😇
@FlarZuumi thank you Flar. I hope you enjoy using the algorithms to make some art.

@gwenbeads can't wait to share this with colleagues at work tomorrow!

I feel blessed to work with the special type of nerd that will love this!

@gwenbeads my dyslexia read that as breeding algorithms and im dissapoined its not the case
@gwenbeads my mum would've loved your book. She was a fan of Contemporary Geometric Beadwork (https://beadmobile.wordpress.com/) and before the cancer she'd been close to finishing this beautiful piece. Her longtime tutor organised her other students to finish it for us after Mum died.

@v_for_verbosity that’s a lovely piece of Cellini peyote stitch your mom made. Thank you for sharing it with me.

I’m very familiar with Contemporary Geometric Beadwork. I have both of the first two books, and they are masterful works, both! I like to imagine that CGB described the intrinsic forms of peyote stitch beadwork in the way that Beading with Algiritms describes the color patterns. The two books are complementary and can be used together.

@gwenbeads This looks AMAZING! Congratulations! I want to read it and I don't even make any of these things (so far) !!!!!