Paula Beardell Krieg

Is there any reason we would even believe anything that they call evidence?

Shameless pink zinnia

Perfect in pink cosmos

We had our first brush with an autumn frost just last night. Suspecting it would be so, I took some photos of some end of season blooms. Glad to have these.

Love this!

What a fun idea!
Also, tangrams made from folded paper have a satisfying feel to them youtu.be/-QCQgWn6K1k?...

I want to know, do you make a plan so that he can stay on your lap for hours? Do you read, nap, text?

YouTube video by Paula B Krieg Double Bubbles with compass and straight edge, a very cool drawing lesson

Doing geometric constructions is something else to think about. Here’s a super fun one inspired by a post by @mpershan.bsky.social youtu.be/xKMU36RrTYk?...

Making Blocks from Paper There’s a rabbit hole of of making 3D shapes that I’ve stumbled into… This week I have the good fortune of being able to talk to people, via zoom, at the German Mathematical Socie…

Sam, if you want to chat I have soooo many projects I could talk to you about. A big part of what I do these days is work with artists on creating solid forms. also, have written many posts that are math/art. Heres a good one about building solid forms
bookzoompa.wordpress.com/2021/09/26/m...

Three cubes sitting around looking quite satisfied with themselves and each other. A mostly orange cube has designs influenced by Seminole Patchwork, a Native American invention. A black and white cube started with an Islamic Geometry construction, was generalized by John Golden in Geobebra, and then I messed with it in Adobe Illustration, and then there's a Rainbow cube that splits apart to reveal a secret hexagon or two.

A post about the cubes I've been making
bookzoompa.wordpress.com/2025/08/31/d... #mathart

Beautiful !

There's a sliced cube that shows off the hexagon face embedded in its center; a cube that has the marbling on it reminiscent of Turkish techniques; the orange cube echoes Seminole Patchwork, and there's some references to Islamic geometry in he black and white cube.

Oh I didn't mean to include so much of the inside of my house in this photo, but oh well. Here's another arrangement of the cubes. A colorful tower.

Black box with cubes tucked in.

Boxes are so challenging to get right and so satisfying to make. So much math goes into making a box. Let's teach more box making. Here are the nets for my box and lid. They make a handsome pair.

Been working on some fun cubes this week. Taking patterns I've created then using them on cubes that are sliced in ways that allow them to interact. Because the patterns I make are inspired by so many different sources I think of them as Diversity Cubes. Nice box too.

#mathart
#patterns
#cubes

Oh love seeing a photo of Mr and Mrs Triangle!

By the way, I'm enjoying the ALT text feature of Bluesky. It lets me play around with descriptions.
I keep forgetting to use good hash tags. This one should have probably been tagged as #mathart and #geometry. I've never been much good at hashtags. Would appreciate any advice.

Three compounds of an octahedron and a cube sitting on my desk waiting for me to walk in this morning and admire them. That's a rhombic dodecahedron box to the left, which is the perfect fit for these solids.

Another view of these compound solids. The one made from a single pattern doesn't show off the compound-ness as well as the one on the right, but , really it's a satisfying shape even if you don't know or care about compound solids.

Oops. The cube lost its octahedron protrusions.

The blue patterned compound of the cube and the tetrahedron has hopped into its convex hill, the rhombic dodecahedron box while the cube looks on surrounded by the wayward points of the octahedron.

Another way to fill the rhombic dodecahedron happens to be the convex hull of a compound of an octahedron cube.

#convexhull
#polyhedron
#compoundpolyhedra
#rhombicdodecahedron
#cube
#octahedron

Doing it the way you’ve done it shows up the tension between math and material: the thickness of the paper, which is slight, still makes the last folded unit fit imprecisely.

Nice! I’m going back through some twitter archives and am seeing rhombic dodecahedron things going on around then… I missed mic of it at the time, as I think I just starting to get to know you all.

In a day or two I'll be posting a completely different construction I've made for filling it.

Right, I like that we are doing the inverse of each other with same shape...you are filling up space with the rhombic dodecahedron, and I'm filling up the space within it.

There's a hungry solid blue shape called a rhombic dodecahedron which wants to gobble up everything else in this photo.

The hollow orange cube consumes the little book, then the blue shape, which from some vantage points looks like a cube, turns itself inside out and wraps itself all around the orange cube.

Oh my. Now the fully filled up blue patterned shape slips perfectly into the blue box

Now both the cubes and the little book are neatly tucked into this twelve sided shape with rhombic faces.

Unlike @davidkbutler.bsky.social , who fills up space with #rhombicdodecahedrons, I've been filling up the space within this shape. A hollow cube and a deconstructed cube work just fine to fill it. Blog post coming soon. I hope.

So many people sent me yesterday’s NYT article on blossom fold that I couldn’t resist making one. Very pretty in three dimensions

I asked if 1 is an odd number, and it told me that "Yes, the number one is considered an odd number." Seems like a basic contradiction of the first fact it offered. Am I missing something?

Unintentionally I typed a 3 into the my search bar, so, naturally, AI defined it for me. It started with "AI Overview
The number 3 is a fundamental number with various mathematical, cultural, and symbolic meanings. It is the third smallest prime number, and the first odd prime number" So then...

So beautiful.

So fun! Thank you for these images and links

Nine large hexagons, made of colorful pattern blocks with various and interesting symmetries, tiled together to make a larger mosaic, roughly 12 inches square.

On my own this evening, this was about a half hour of work. We're gonna crush this thing!

Hey check this out!!

The p square is strange, especially compared to the Y square.

I look forward to seeing what you share.

Very strange.

Hmmm.. can’t find a red push pin anywhere.

Thanks Karen. I am going to try this now. So nice to be here with my friends. 🙂