You should try it! There are cellular automata for knitting, but the rule I’m using is for a staggered grid, like for crochet. This particular rule would give a very different look if used in knitting because knit stitches aren’t staggered.
Patch of crossed stitch embroidery. The patches on a staggered grid of woven fabric with the top half of the Xs stitched.
#Embroidery with algorithms: I thought I’d try a staggered cross stitch with an algorithm I call “Buds & Vines” to make this patch on my scrappy purple pants. I’m using the hexagonal weave in the fabric as the grid to help me place my cross stitches, with one X over each hexagon. #generative
Colorful, cartoon painting of a black hole, but in green with planets and bubblegum streamers shooting out of it. One of the planets is a color wheel. There’s a cat and various aliens.
Black Hole, but in Green
I wanted a black hole, but more colorful, like in green, to match the couch.
Watercolor and black pigment ink on Tomoe River paper, A4 #blackhole #painting
gwenbeads.etsy.com/listing/4466...
Is this one blanket with two sides or two blankets? Gorgeous!
Cut and folded paper looks architectural
More fun with paper and scissors
#mathart #origami #papercraft
Kiko is my favorite dog I’ve never met. Also, pretty shawl.
Fold and cut paper like a page from a popup book. Prisms that go in and out.
Fold and cut paper #mathart
As a math teacher, I want every kid to play the board game Monopoly and be the banker, so they can learn to count by 5s, 10s, 50s, & 100s, & learn how to make change. I want them to roll dice and develop an understanding of randomness and probability & learn the economic consequences of monopolies.
Thank you for sharing grannygoatfish!
Cellular automata rule and the patches it generates
Cellular automata patch
Cellular automata patch
Cellular automata patch
In the first image, you can see a four-color multiset cellular automata rule with its 20 parts and two symmetric examples of the patches it generates. The shows color cycling with a period of 3 and 12 colors. The right is the same patch without color cycling. #math #mathart #generative #beading
I know about roots of unity, but what is the function when the graph is not perfectly symmetrical over the x-axis?
Folded and cut pink sheet of paper with lots of hearts cut into it.
Happy Valentine’s Weekend
The extant of my celebration is cutting paper.
Pulling up loops at the corners to attach the work to the backing fabric. Will weave in the long ends to stabilize the edges… www.grannylifecrochet.com #grannylife #mathart #geek #crochet 🧶
Cellular automata pattern
Cellular automata pattern
Cellular automata pattern
Cellular automata pattern
This is cellular automata on a staggered grid, like we use for beaded peyote stitch. I call this algorithm Stained Glass, which I describe on pages 49-51 in my new book. #math #mathart #generative #beading
I thought it was turtles all the way down.
Cellular automata: Vines on a Fence
Cellular automata: Vines on a Fence
Cellular automata: Vines on a Fence
Cellular automata: Vines on a Fence
This is cellular automata applied to a staggered grid, like in beaded peyote stitch. All of these images were created with the same algorithm, what I call “Vines on a Fence.” The only difference among them is how I started each patch. I give the recipe for Vines on a Fence on page 105 of my new book
I made all of these images with the same algorithm, what I call “Vines on a Fence.” The only difference among them is how I started each patch. I give the recipe for Vines on a Fence on page 105 of my new book, Beading With Algorithms: Cellular Automata in Peyote Stitch.
That’s a nice one. I like the different shades of gray. You’re using a square grid, and I’m using hexagons.
Almost, but not quite. This is one dimensional cellular automata, but not on a standard square grid. I recently published a book on this.
Four images of cellular automata
A little cellular automata to color your day #mathart
A beaded bead made using the methods described in my new book, Beading with Algorithms: Cellular Automata in Peyote Stitch. #mathart #beading #asmr
We found so much to include that it ended up a third longer than I had planned. It took years longer than I expected. It was a labor of love, 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.
Patch of colorful beadwork with shades of color
Since the space of possibilities is infinite, 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.
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. We included multiple colorful images on almost every page, 172 pages in all.
Patch of colorful beadwork with a complex geometric design.
The algorithms 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.
Photo of a Book “Beading with Algorithms: Cellular Automata in Peyote Stitch” by Gwen Fisher and Roger Antonsen, World Scientific, with a QR code.
Text about the book and information about the two authors.
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.”
This book is the first of its kind, a recipe book of algorithms for making pixel art.
Those are some very nice dodecahedrons.
Paper folded and cut into stair steps
Pretty much every time I try to make one of the deaigns in that book, I end up with something different. It continues to amaze me what can be made with a piece of paper and a pair of scissors.
Landscape painting of river through the hills
Pairing with palette and tubes of paint
Close up of cat in the berry bush.
A little fantasy landscape to momentarily distract you from the chaos…
Question: Do rivers ever run away from the ocean?
4.75” square
Gouache on cotton paper
#painting #gouache #art #landscape
Yellow Labrador sitting curled up on a large round tan dog bed.
It’s called cinnamon bunning. #dog
