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Paula Beardell Krieg @paulakrieg.bsky.social · 1d

Lately I've been up to my ears in pattern block inspired forms. Been enlarging them for boxes, using their interior spaces & fractally decorating. The Jaffe Center has slipped me into their November schedule to teach a one session evening class with these forms.
jaffecollection.org/workshops/fr...

Two triangles based on pattern blocks, and , oh my, looks like one of them opens up to reveal a little blue person getting some sunshine.

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Paula Beardell Krieg @paulakrieg.bsky.social · 28d

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

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Paula Beardell Krieg @paulakrieg.bsky.social · 29d

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · 29d

Love this!

Paula Beardell Krieg @paulakrieg.bsky.social · Sep 18

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

Paula Beardell Krieg @paulakrieg.bsky.social · Sep 14

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

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Paula Beardell Krieg @paulakrieg.bsky.social · Sep 14

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?...

Double Bubbles with compass and straight edge, a very cool drawing lesson

YouTube video by Paula B Krieg

youtu.be

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Paula Beardell Krieg @paulakrieg.bsky.social · Sep 14

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...

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…

bookzoompa.wordpress.com

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Paula Beardell Krieg @paulakrieg.bsky.social · Sep 1

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

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 31

Beautiful !

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 31

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

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.

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 30

Oh love seeing a photo of Mr and Mrs Triangle!

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 26

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 25

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

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 24

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 24

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 24

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

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 24

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 24

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.

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.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 21

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

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 19

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?

Paula Beardell Krieg @paulakrieg.bsky.social · Aug 19

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...

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 18

So beautiful.

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Paula Beardell Krieg @paulakrieg.bsky.social · Aug 15

So fun! Thank you for these images and links

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Reposted by Paula Beardell Krieg

Christopher Danielson @triangleman.bsky.social · Aug 11

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

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

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