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Matt Macauley @visualalgebra.bsky.social · 17/09/2026

September fruit from my orchard. I picked these all today. Fuyu persimmons, flying dragon citrus, and red & green muscadines.

Plate with fruit I picked today: Fuyu persimmons, flying dragon citrus, and red & green muscadines.

A bunch of flying dragon citrus fruit growing on a thorny tree.

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Matt Macauley @visualalgebra.bsky.social · 08/09/2026

Looks like it’s a term that he defined in the paper.

Google Translate from Russian:

We shall call an edge "sunken" if both faces incident to it are triangles, and "semi-sunken" if only one of them is a triangle.

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Matt Macauley @visualalgebra.bsky.social · 04/09/2026

I also got Utah, at 54%. But my most similar city was Seattle, which is my hometown, and also at 54%. It’s definitely called a potato bug.

My dialect: 54% Utah. But most similar cities:

Seattle, Portland, LA (all 54%)

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Matt Macauley @visualalgebra.bsky.social · 24/08/2026

You mean the Seahawks, Ken. And they’re called points, not runs. [Googles “Mariners.” Oh. 🤦‍♂️]

Titans 19, Seahawks 16, with 5:45 to play.

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Matt Macauley @visualalgebra.bsky.social · 21/08/2026

Academics, to "celebrate" the start of a new semester, post a WayBack Machine snapshot of your workplace from when you were applying to college (or a later milestone if you missed the dawn of dot edu) #WayBackCollegeChallenge

Snapshot of the Clemson University webpage in April 1999. Featuring Thurmond and Lindsey Graham…

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Matt Macauley @visualalgebra.bsky.social · 08/08/2026

In 2015, I planted a knee-high fig tree in a place that accumulated a lot of water (due to a cul-de-sac and hill), and also drained well. Here it is now. It gives me about 50 pounds of figs per week, for 3-4 weeks a year. I have a few other fig trees too, but I get 95% from this one.

Celeste tree at the end of my driveway that produces over 50 lbs/week for 3-4 weeks a year. I planted this in 2015.

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Matt Macauley @visualalgebra.bsky.social · 07/08/2026

When you get over 150 pounds of fresh figs in 3 weeks, you have to get creative. This is a cast iron skillet with wheel of Brie cheese, fresh figs, nuts, fresh rosemary, honey, balsamic glaze, and raw cane sugar. Baked for 30 minutes.

Cast iron skillet with Brie cheese, fresh figs, nuts, fresh rosemary, honey, and balsamic glaze.

Cast iron skillet with partially baked Brie cheese, fresh figs, nuts, fresh rosemary, honey, balsamic glaze, and raw cane sugar.

Cast iron skillet with baked melted Brie cheese, fresh figs, nuts, fresh rosemary, honey, balsamic glaze, and raw cane sugar.

Baked Brie cheese, fresh figs, nuts, fresh rosemary, honey, balsamic glaze, and raw cane sugar, on toasted everything seasoned sourdough.

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Matt Macauley @visualalgebra.bsky.social · 31/07/2026

I’ve gotten a few hyperfigs this year.

Several conjoined figs on a marble countertop.

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Matt Macauley @visualalgebra.bsky.social · 28/07/2026

Made some water kefir with my fresh figs. Added a little sugar in the raw and basalmic vinegar. Fermentation process takes 48 hours. Gonna crack it open tomorrow!

A large mason jar of water kefir with raw brown sugar and a little balsamic vinegar, at t=0.

Closeup of a large mason jar of water kefir with raw brown sugar and a little balsamic vinegar, at t=0.

A large mason jar of water kefir with raw brown sugar and a little balsamic vinegar, at t=48 hours.

Closeup of a large mason jar of water kefir with raw brown sugar and a little balsamic vinegar, at t=48 hours.

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Matt Macauley @visualalgebra.bsky.social · 27/07/2026

Got 7 pounds each of the last two days. Would have been much more, but the rain caused many to ripen and rot quickly and get attached by bugs and bees. Up to 98 pounds in 13 days

7 pounds of figs in a stack of plastic containers on a small scale.

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Matt Macauley @visualalgebra.bsky.social · 25/07/2026

Picked 8 pounds each of the last two days. Up to 83 pounds in 11 days, all from a single Celeste tree that I planted in 2015. (Including a 2 lb basket I forgot to include in my last photo.)

8 pounds of figs in plastic containers on a small metal scale

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Matt Macauley @visualalgebra.bsky.social · 23/07/2026

The distribution is not unimodal! Back up to 7 pounds yesterday and 8 pounds today. Now over 65 pounds of figs in 9 days, all from the same tree that I planted in 2015.

7 pounds of figs in containers on a small metal scale.

8 pounds of figs in containers on a small metal scale.

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Matt Macauley @visualalgebra.bsky.social · 21/07/2026

Not quite as much the last 2 days: 4.5 pounds and 6 pounds, respectively. But that’s brings last week’s total haul to just over 50 pounds.

6.5 pounds of figs on a small metal scale.

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Matt Macauley @visualalgebra.bsky.social · 19/07/2026

Most people would find this either delicious or disgusting. Toasted sourdough everything (seasoning) bread, butter, fresh figs, and…Marmite.

Two pieces of toast sitting on a plate with Marmite, butter, and fresh figs on top.

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Matt Macauley @visualalgebra.bsky.social · 19/07/2026

Picked 6 pounds today, which means that this one tree gave me 40 pounds of figs in just 5 days!

6 pounds of figs, stacked 5 containers high.

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Matt Macauley @visualalgebra.bsky.social · 18/07/2026

Only 7 pounds today. But that’s still 34 pounds from one tree in 4 days. My LSU Gold and Chicago Hardy trees aren’t even ripe yet.

Plastic container of figs on a small metal scale. 7 pounds and 1 once from a single Celeste tree. That’s 34 pounds in 4 days!

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Matt Macauley @visualalgebra.bsky.social · 17/07/2026

And another 11 pounds today! Just from the Celeste. The LSU Gold and Chicago Cold Hardy figs haven’t even ripened yet.

11 pounds of figs that I picked from my Celeste tree tonight. Yesterday I got 9.5 pounds, and the day before, 6.5 pounds.

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Matt Macauley @visualalgebra.bsky.social · 16/07/2026

24 hours later. Over 9.5 pounds! Al from one Celeste tree in my front yard.

Figs I picked from a single Celeste tree tonight. After picking all the ripe ones (over 6 lbs) the day before. Total net weight: 9 lbs 10 oz (The 9 lbs 10 oz includes 4 oz of plastic.)

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Matt Macauley @visualalgebra.bsky.social · 15/07/2026

It’s that time of year again!!! Today haul: over 6 lbs. I’ll be getting this much every day for a few weeks.

Stack of 5 plastic fruit baskets full of fresh figs on a scale, weighing 6 lbs and 4 oz.

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Matt Macauley @visualalgebra.bsky.social · 12/07/2026

It’s okay, it’s not like she actually did it herself.

AI detector flagging the last half of Elizabeth Warren’s tweet about Lindsey Graham.

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Matt Macauley @visualalgebra.bsky.social · 09/07/2026

Got my first rip Celeste fig of the year this morning. And saw this little guy protecting it.

Lizard with open mouth on a fig leaf in front of an unripe green fig

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Matt Macauley @visualalgebra.bsky.social · 06/07/2026

But them they always round out that group with two minnows, so India and Pakistan always* advance.

USA Cricket shocks Pakistan in Super Over at the ICC T20 World Cup.

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Matt Macauley @visualalgebra.bsky.social · 02/07/2026

I’m skeptical. Maybe this year is different, but we saw this 6 years ago with Jaime Harrison, who lost by 16 percentage points.

Poll from 2020 showing Lindsey Graham and Jaime Harrison ties at 48%.

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Matt Macauley @visualalgebra.bsky.social · 24/06/2026

This is bizarre. Dan Sachs Goldman, of the Goldman-Sachs family, was the preferred choice among voters in low-income areas. What’s the explanation for this? (I don’t know much about NYC politics.)

Screenshot from the NYT election results. Brad Lander easily won younger residents, college educated areas, higher income areas, majority Hispanic, but lost lower-
income areas.

https://www.nytimes.com/interactive/2026/us/elections/results-new-york-us-house-10-primary.html

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Matt Macauley @visualalgebra.bsky.social · 22/06/2026

I took my kids mushroom foraging in the woods behind my house, and we came home with a bunch of chanterelles.

White basket of chanterelle mushrooms, and one white pepper milk cap.

My 7-year-old daughter holding a basket of chanterelle mushrooms in the woods, with a cove of Lake Keowee in the distance.

Chanterelle mushrooms with a shallow cove of Lake Keowee in the background.

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Matt Macauley @visualalgebra.bsky.social · 21/06/2026

All on her own, my 7-year-old daughter made me a surprise Father’s Day card with a Cayley Graph and Cayley table! 🥰

A 7-year-old’s Homemade Father’s Day card, with a Nyan Cat, and a Cayley graph and Cayley table below, and a sketch of her with her dad.

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Matt Macauley @visualalgebra.bsky.social · 18/06/2026

A number theorist told me he prefers #1. But another argument for #2 can be made by the following natural reflective symmetries of the primes in ℤ[i] and ℤ[ω], which carries over to other quadratic integer rings as well. Please help me decide, and don't be shy to make your case. Thank you! 3/3

A 12x12 grid showing Gaussian integers, with the primes as dark black dots. Light red & blue octants (each 45 degrees) illustrate natural reflective symmetries of these primes.

A 12x12 grid showing Eisenstein integers, with the primes as dark black dots. Twelve light red & blue regions (each one 30 degrees) illustrate natural reflective symmetries of these primes.

Picture showing two grids of quadratic integers rings. A "rectangular" one for m=-2 (left), and a grid of isosceles triangles for the the other, m=-7 (right).

Left: Light red & blue octants (each 45 degrees) illustrate natural reflective symmetries of these primes.

Right: Twelve light red & blue regions (each one 30 degrees) illustrate natural reflective symmetries of these primes.

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Matt Macauley @visualalgebra.bsky.social · 18/06/2026

Hey #MathSky, I need your advice. Which of the following two pictures should I use to visualize quadratic integer rings? Pro of #1: They highlight the "fundamental domains." Pro of #2: Illustrates how both are "stretched versions" of the Gaussian & Eisenstein integers, respectively. 1/3

Picture showing two grids of quadratic integers rings. A "rectangular" one for m=-2, and a grid of parallelograms for the the other, m=-7.

Picture showing two grids of quadratic integers rings. A "rectangular" one for m=-2, and a grid of isosceles triangles for the the other, m=-7.

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Matt Macauley @visualalgebra.bsky.social · 17/06/2026

The Congo is COD?!? If only there was a more widespread 3-letter abbreviation for the the DRC…

Screenshot of the Portugal vs Democratic Republic of Congo match, 1-0 after 42 minutes.

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Matt Macauley @visualalgebra.bsky.social · 13/06/2026

They lost on the last ball. By an inch. Incredible finish that was actually reminiscent of the WC game 7 ending. But the real drama is what been happening with Cricket Canada lately… www.msn.com/en-ca/news/c...

The US cricket batter diving and stretching his bat and crossing the line by an inch for the winning run on the last ball of the US/Canada ODI match.

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Matt Macauley @visualalgebra.bsky.social · 13/06/2026

It was a good one! An incredible finish with the US scoring 15 runs in the last over to win by 1.

USA - CAN cricket match box score. June 12, 2026.

CAN 275/8
US 276/5

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Matt Macauley @visualalgebra.bsky.social · 12/06/2026

Fun activity: I provided the blank squares and the blue and inner red arrows, and she filled everything in and figured out the outer arrows and the node labels. Personally, I would have used r²f and r³f, her choice works too!

Cayley graph of D_4 with nodes labeled by symmetries of a square, in a 7-year-old’s handwriting.

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Matt Macauley @visualalgebra.bsky.social · 10/06/2026

Is it “good” good, or “greatest book in recorded history” good? Also, how can I get an autographed pre-ordered copy to add to my collection? 😁

The book “Beautifully Unique Sparkleponies” by Chris Kluwe, with an autographed letter from him that I got for preordering it.

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Matt Macauley @visualalgebra.bsky.social · 10/06/2026

First figs of the year from my orchard, and they’re HUGE!

Large green figs next to a much smaller golf ball on a granite counter.

Plate of sliced figs, basalmic drizzle, lavender sheep cheese, and cheesy crackers.

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Matt Macauley @visualalgebra.bsky.social · 09/06/2026

The Coset Poset™ of D_6! (The nodes are the coset graphs of the corresponding poset.)

Left: Sub(G)/G for G=D_6, where the nodes are the cycle graph of one of the conjugate subgroups.

Right: The coset graphs defined by considering the action of G on the cosets of the corresponding subgroup.

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Matt Macauley @visualalgebra.bsky.social · 09/06/2026

Puzzle for #MathSky: what’s the knot type of this piece of artwork that is on display at the Denver airport?

Large piece of art work: a knot made of several hundred buckets in Colorado colors (red, white, yellow, blue).

Large piece of art work: a knot made of several hundred buckets in Colorado colors (red, white, yellow, blue). View from the left.

Large piece of art work: a knot made of several hundred buckets in Colorado colors (red, white, yellow, blue). View from the right.

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Matt Macauley @visualalgebra.bsky.social · 05/06/2026

Can’t help thinking of you right now, as I’m flying over Lake Michigan from the Philippines and into O’Hare, with your book in tow. 🇵🇭

Lake Michigan shore from an airplane, north side of Chicago.

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Matt Macauley @visualalgebra.bsky.social · 03/06/2026

My 7-year-old made her first Cayley graph and Cayley table today! And she LOVED it! At 9pm, she was too excited to go to sleep…”but I just want to do more algebra!” 🥰 #MathSky #VisualAlgebra

Bird’s eye view of my 7-year-old daughter drawing a Cayley graph of the Klein 4-group on an iPad.

Cayley graph and Cayley table of the Klein 4-group on an iPad, with some of it in a 7-year-old’s handwriting

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Matt Macauley @visualalgebra.bsky.social · 31/05/2026

(d) Why does the US flag have 79 stars? DC, Puerto Rico, Canada, Greenland, Venezuela, Iran…what am I missing?

AI generated American flag with 79 stars

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Matt Macauley @visualalgebra.bsky.social · 30/05/2026

Here are two very legitimate alternatives!

Chart of NFL owners’ biggest political donors. Falcons are #1 with $1.7 million (blue). The next 7 are all red.

Seahawks owner Jody Allen. No Trump contributions. Supports education, the arts, and scientific research.

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Matt Macauley @visualalgebra.bsky.social · 25/05/2026

My proof of the Riemann Hypothesis is 95% done. The remaining 5% is just showing that all of the non-trivial zeros have real part 1/2, and then typing it up.

Tweet from Frank Luntz: “insider reporting from an unnamed White House official says the Iran deal is 95% done.

The remaining 5% of negotiations are focused on Iran opening the Strait of Hormuz and turning over all nuclear material.”

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Matt Macauley @visualalgebra.bsky.social · 11/05/2026

Got my first ever pair of reading glasses last week, for $5 at the local grocery store.

Me holding a cup of coffee with a palm tree visible through the window.

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Matt Macauley @visualalgebra.bsky.social · 10/05/2026

And on the other side of the world, in South Africa, this happened today…

Hail on a wooden porch with fall foliage in the background. Franschoek, South Africa.

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