iiinova — where your digital self keeps evolving

Christopher Danielson @triangleman.bsky.social · 04/10/2026

Coincidentally, look what I just unearthed and am packing for giveaway at nctm Denver! (And also kicking myself that I did not unearth in time for Atlanta last year)

A small pile of black t-shirts with a map outline of the top half of Georgia, an x in the approx location of Atlanta

100

Christopher Danielson @triangleman.bsky.social · 20/08/2026

Look out! Toilet paper math just leveled up!

An enormous toilet paper package labeled “Forever Roll Go up to one month before changing your roll”. The fine print states that there are three rolls per pack and 1700 two-ply sheets per roll. A shelf label indicates that the pack costs 33.49 and there seems to be a unit price of 1.97 but the unit is tiny and illegible to my aging eyes

270

Christopher Danielson @triangleman.bsky.social · 29/07/2026

Good morning from this bee inside a pumpkin flower!

Enormous yellow-orange flower with a bee deep inside, crawling around on the … stamen?

181

Christopher Danielson @triangleman.bsky.social · 04/07/2026

Updates from my own pumpkin patch. How is yours doing?

A big yellow flower with a little tiny pumpkin at its base

A garden by the side of a house. Big green pumpkin leaves in the foreground track many feet into the background along the side of the house. The green is punctuated by the occasional yellow flower

100

Christopher Danielson @triangleman.bsky.social · 03/07/2026

Saint Paul checking in with a perfect July evening

85 degrees and partly cloudy in Saint Paul MN

110

Christopher Danielson @triangleman.bsky.social · 11/06/2026

Celebrate our nation’s sesquicentennial (100 years late)!

A postcard with an eagle and a banner that says 1947 and 2026 (this particular neighborhood event started in 1947, for context) reads:

YOUR SUPPORT AND PARTICIPATION MATTERS

THIS EVENT
ONLY HAPPENS
BECAUSE OF THE GENEROSITY OF OUR LOCAL NEIGHBORS & BUSINESSES

CELEBRATE OUR NATION'S SESQUICENTENNIAL

110

Christopher Danielson @triangleman.bsky.social · 07/06/2026

@wrigleyfield.bsky.social I’m catching up on my Star Tribune reading after a camping trip and need to make sure you’ve heard…

A newspaper headline:

“U ditches
Leave a Future' tagline
Slogan received confused response.”
By ERIN ADLER
The Minnesota Star Tribune
The University of Minnesota is ditching its new "Leave a Future" tagline after U officials…

220

Christopher Danielson @triangleman.bsky.social · 30/05/2026

At an event. Older brother explaining to younger sister about this ruler. “It’s not feet. It’s inches. 12 inches make a foot.”

A yard-stick-like ruler lies on a wooden table with the unit “ducks” stated, and labeled marks at 1,2…up to 12.

There are many small rubber ducks in the background

190

Christopher Danielson @triangleman.bsky.social · 23/05/2026

7 yo just now: “this is a shape with a lot of sides. What is this shape called?” Me: “Depends on how many sides it has” 7 yo: [commences counting]

A purple painted puzzle piece that appears to be circular, but on close examination is a regular polygon with a large number of sides. In the background is a puzzle frame with the words “regular polygons “ and we can see a regular pentagon among others

160

Christopher Danielson @triangleman.bsky.social · 17/05/2026

The whole time I was reading this bizarrely fawning piece, I was wondering what happened to this version of SK's chatbot, from Chalkbeat a month ago. www.chalkbeat.org/2026/04/09/s...

Khan’s comments are an acknowledgement that AI has not quickly allowed for the creation of an effective super-tutor, as some initially hoped. It’s an early indication of the limits of AI to drive massive learning gains, long an unrealized goal of various technologies. While Khan remains optimistic about various uses of AI in education, he’s also come to see its limits.

100

Christopher Danielson @triangleman.bsky.social · 17/05/2026

Argh! THIS! This is the fantasy we are meant to believe every time!

Still, there were moments when the model forgot who it was, or hallucinated with so much swagger that it took several steps before anyone noticed. "The weird thing about the model is that you'll be disappointed for a long time until you're not," Ms. Shieh said.
"I've seen that curve several times, and it's still surprising to me."

140

Christopher Danielson @triangleman.bsky.social · 10/04/2026

When in Rome… (or in this case, Detroit) #why2ks

030

Christopher Danielson @triangleman.bsky.social · 24/03/2026

This seems unfair. And I am a critic of school math!

A Venn diagram with disjoint and distant circles labeled “the math of life” and “the math of school”

200

Christopher Danielson @triangleman.bsky.social · 20/03/2026

New math near the corner of University and Raymond!

A large window is filled with a colorful and highly symmetric Islamic geometry design with (roughly) 10-fold symmetry. The display is made from brown kraft paper and colorful copy paper. At the bottom of the image is this message: "based ona design from the Ulugh Beg Madrasa in Uzbekistan and adapted from Eric Broug's Islamic Design Workbook"

0162

Christopher Danielson @triangleman.bsky.social · 19/03/2026

Haribo Twin Snakes. Clearly they are fraternal twins. Am I to understand that sweetness and sourness are purely genetic traits?

A red and a blue candy snake lie side by side in a wooden cutting board

261

Christopher Danielson @triangleman.bsky.social · 17/03/2026

I am pleased to report that this article has been updated since my screenshots earlier today.

TOP STORY
La Crosse runners celebrate
St. Patrick's Day with 0.1K
sprint/run
Ace Elsen
Mar 14, 2026 Updated 4 hrs ago

LA CROSSE (WKBT) -- On Saturday, hundreds gathered on Pearl Street in La Crosse to celebrate the upcoming St. Patrick's Day holiday with a race that requires no training.
The 21st Annual 0.1k run/walk is around a whopping 33 feet of racing.
Participants earned a t-shirt, a green beer, and bragging rights.
The race started at 6 P.M. and ended at 6:05 P.M; A post-run party was held at Brother's starting at 6:06 P.M..
Proceeds benefit The Hunger Task Force; The event has raised over $100,000 in total for nonprofit organization.

131

Christopher Danielson @triangleman.bsky.social · 13/03/2026

lolol and yet the ACTUAL latest NWS map looks like this...

A map of potential snow accumulations from the Dakotas across Minnesota, Wisconsin, and the UP of Michigan. There are snow ranges that include "4 to 22 inches" for the Twin Cities and "9 to 28 inches" in Wausau, WI

000

Christopher Danielson @triangleman.bsky.social · 09/03/2026

the return of the hexagonal stop sign, starring zoom #thankscommoncore

screenshot of an icon: a white X inside a red outlined hexagon, all on a black background above the word "End"

140

Christopher Danielson @triangleman.bsky.social · 03/03/2026

This is Roo. A surprising number of yall have met him. Goofy little dude. Came to us 3.5 years ago with unknown age and background. Full of love for the ladies of the house especially.

A Pomeranian with a very short cut and a tennis ball head rides in a car on a sunny day

1130

Christopher Danielson @triangleman.bsky.social · 09/02/2026

The Fox News chyron on the seatback a row in front of me. Literally every accusation is a confession isn’t it?

“Scrutiny builds over ilhan omars personal wealth”

030

Christopher Danielson @triangleman.bsky.social · 05/02/2026

If only cyclists would obey the rules of the road

A car turns right on red in front of two No Turn on Red signs

Zoomed in crop of red light and accompanying no turn on red sign

000

Christopher Danielson @triangleman.bsky.social · 24/01/2026

The words “several” and “transported” are doing important obfuscatory work in this second paragraph

181

Christopher Danielson @triangleman.bsky.social · 24/12/2025

Come for the mending! Stay for the cute dog! Or vice versa. Anyway, s/o to @anniekp.bsky.social for inspiration

A yellow wool blanket sports a gray woven mend and lies at the foot of a ridiculous very old and short haired Pomeranian

1140

Christopher Danielson @triangleman.bsky.social · 05/12/2025

"Hey Christopher!" they say. "Math On-A-Stick is great fun and all, but what does it have to do with school math?"

Four paired images. Each pair consists of (1) a photograph of a pattern drawn in sand on a rotating disk, and (2) a graph showing a close approximation the sand pattern, rendered digitally on a grid of polar coordinates. From left to right, the patterns are (1) circle centered at the origin, (2) circle, off center from the origin, (3) linearly growing spiral, and (4) linearly growing spiral, but the path is more star-shaped and jaggedy than circular, and having seven "points" on the star.

281

Christopher Danielson @triangleman.bsky.social · 04/12/2025

I am becoming more and more suspicious that those rulers were lightly-edited AI slop. Dig this poster in the avatar's classroom.

five shapes on a poster hanging from a hook. Two triangles at the top, three quadrilaterals beneath. Under each shape is a scribbly line imitating text. Each shape has an internal subdividing line, such as you might use to indicate the height of a shape that lacks right angles. Importantly, the ones in the triangles are not perpendicular to any of the sides (although one more egregiously so than the other), and one of the lines in a non-square rectangle is a diagonal. All of the shapes, notably, have horizontal bases.

030

Christopher Danielson @triangleman.bsky.social · 04/12/2025

I do not have time for all 56 parts of this tour right now.

A modal popped up in front of a cartoony window with a melancholy bunny. This bunny has maybe been crying, or is about to? Imagine like your childhood invisible friend bunny has come to life and is seeing you again for the first time since you cast him prior to your own adolescence. This bunny has known sadness, and is now filled with a tentative yet powerful hope. The modal reads "Start your tour by choosing a section! Show me how ALEKS Adventure" and then there are four options (1) Engages and motivates students (0/18), (2) Individualizes to Students' Needs (0/11), (3) Supports Independent Learning (0/15), (4) Builds Retention and Mastery (0/12)

100

Christopher Danielson @triangleman.bsky.social · 04/12/2025

But then what about this ruler which appears three seconds later, and which is evidently the work of a totally different ruler designer than the previous one?