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David K Butler

@davidkbutler.bsky.social

Lecturer at Maths Learning Centre, Uni Adelaide (my views here). Grad Dip Ed & PhD Finite Geom. Love maths and helping people learn. he/him

1,667 Followers  |  641 Following  |  4,517 Posts  |  Joined: 10.10.2023  |  1.7205

Latest posts by davidkbutler.bsky.social on Bluesky

Wordle 1,508 6/6.

1: Y b b b b …
2: b Y b b b …
3: G b G G b …
4: G b G G Y …
5: G G G G b …
6: G G G G G …

A perfect 6! Very satisfying.

04.08.2025 16:29 — 👍 0    🔁 0    💬 0    📌 0

My favourite number is the only natural power of 2 currently known that does not have a one-digit power of 2 (1,2,4,8) as a digit.

04.08.2025 01:27 — 👍 7    🔁 0    💬 1    📌 0

Ugh. Some people hoard information because they think it telling people things lessens their own power.

03.08.2025 23:37 — 👍 2    🔁 0    💬 0    📌 0
A white, purple and yellow iris flower against a background of green spiky leaves. It has six white petals, every second one with a yellow stripe and every other one with brown spots near the centre. Three purple petals sit above the white petals with the yellow stripes.

A white, purple and yellow iris flower against a background of green spiky leaves. It has six white petals, every second one with a yellow stripe and every other one with brown spots near the centre. Three purple petals sit above the white petals with the yellow stripes.

Iris.

03.08.2025 22:58 — 👍 9    🔁 1    💬 0    📌 0

Two pairs of somethings hang on the telephone lines above, but they are too small to be shoes, as you would most often see hanging in that position. When I get close enough to see, they turn out to be organza bags of sugared almonds, like you might be given at a wedding reception.

03.08.2025 22:10 — 👍 1    🔁 1    💬 0    📌 0

Two pairs of somethings hang on the telephone lines above, but they are too small to be shoes, as you would most often see hanging in that position. When I get close enough to see, they turn out to be organza bags of sugared almonds, like you might be given at a wedding reception.

03.08.2025 22:10 — 👍 1    🔁 1    💬 0    📌 0

Wordle 1,507 4/6.

1: b b b b b …
2: b b b b b …
3: Y b Y b b …
4: G G G G G …

Looks like a surprise win, but actually I had ruled out a LOT of letters and had only ruled IN a weird combination.

03.08.2025 18:25 — 👍 0    🔁 0    💬 1    📌 0

*BBC

03.08.2025 10:14 — 👍 0    🔁 0    💬 0    📌 0

I have indeed and I enjoyed it. (I note that’s 2004, so my point still stands.)

03.08.2025 08:05 — 👍 1    🔁 0    💬 1    📌 0

If you watched the 1995 BCC adaptation of Pride and Prejudice and subsequently watched any other pre-2000 adaptation of Jane Austen, you may be entitled to compensation.

03.08.2025 05:05 — 👍 5    🔁 1    💬 2    📌 0

Wordle 1,506 5/6.

1: b b Y b b …
2: b G G b b …
3: b G G G G …
4: b G G G G …
5: G G G G G …

After Guess 3, I blithely just kept guessing the first word I thought of, secure in the belief that there couldn’t be that many words that ended in those four letters.

02.08.2025 19:02 — 👍 1    🔁 0    💬 1    📌 0

Wordle 1,505 4/6.

1: b G Y b b …
2: b G G G G …
3: b G G G G …
4: G G G G G …

I was shocked and slightly disappointed it was almost over at the result of Guess 2, but glad I got to play for one more Guess than I expected afterwards.

01.08.2025 19:15 — 👍 0    🔁 0    💬 1    📌 0

This representation really highlights the deep conection between the structure of a finite field and the affine plane you make using coordinates from that field.

01.08.2025 07:23 — 👍 1    🔁 1    💬 0    📌 0

Holy crap this is an AI bear on a trampoline. Your argument is now valid, and we're all going to hell!

31.07.2025 01:20 — 👍 990    🔁 47    💬 24    📌 2

See also: Any person. People see me doing my thing at One Hundred Factorial and think I can be like that all the time.

01.08.2025 04:08 — 👍 4    🔁 0    💬 0    📌 0

Hundred thousand percent this 👇

31.07.2025 21:21 — 👍 54    🔁 9    💬 1    📌 0

I cannot express to you how much fun I had making this.

01.08.2025 03:59 — 👍 9    🔁 0    💬 0    📌 0
A page with text and diagrams.

Title: A representation of the affine plane of order eight. David K Butler.

Text: The plane has 64 points made up of 8 dots and 56 arrows.

Diagram: Eight big red dots at the corners of a cube, and all the arrows between them in both directions.

Text: The plane has 72 lines, each with eight points (dots or arrows). The lines are arranged in nine classes so that every point (dot or arrow) is covered exactly once in each class. Lines in different classes share exactly one point (dot or arrow).

Diagram: 72 wireframe cubes arranged in nine columns of eight. Each has some of the dots and/or arrows from the first diagram. The first column each has one dot and all the arrows pointing away from it. The second column, each has one dot and all the arrows pointing towards it. The third column begins with the eight dots, and the other cubes show eight arrows each. All the other cubes have one dot and seven arrows, but the arrows point head to taill to each other in a loop.

A page with text and diagrams. Title: A representation of the affine plane of order eight. David K Butler. Text: The plane has 64 points made up of 8 dots and 56 arrows. Diagram: Eight big red dots at the corners of a cube, and all the arrows between them in both directions. Text: The plane has 72 lines, each with eight points (dots or arrows). The lines are arranged in nine classes so that every point (dot or arrow) is covered exactly once in each class. Lines in different classes share exactly one point (dot or arrow). Diagram: 72 wireframe cubes arranged in nine columns of eight. Each has some of the dots and/or arrows from the first diagram. The first column each has one dot and all the arrows pointing away from it. The second column, each has one dot and all the arrows pointing towards it. The third column begins with the eight dots, and the other cubes show eight arrows each. All the other cubes have one dot and seven arrows, but the arrows point head to taill to each other in a loop.

A representation of the affine plane of order eight using dots and arrows as points. #MathSky
High resolution PDF here: drive.google.com/file/d/1y-Oj...

01.08.2025 02:40 — 👍 2    🔁 2    💬 0    📌 2

Wordle 1,504 4/6.

1: b b b b b …
2: Y b b b b …
3: Y b G Y b …
4: G G G G G …

Another sentence and this one is even more sensical than yesterday’s.

31.07.2025 18:46 — 👍 0    🔁 0    💬 1    📌 0

A man runs down the stairs and off along the riverside path wearing a very skimpy white singlet top, very short pink shorts and absolutely huge black gloves.

31.07.2025 08:23 — 👍 2    🔁 1    💬 1    📌 0

A man runs down the stairs and off along the riverside path wearing a very skimpy white singlet top, very short pink shorts and absolutely huge black gloves.

31.07.2025 08:23 — 👍 2    🔁 1    💬 1    📌 0

Regular reminder not to tell people something is easy. If the implication you want them to take from saying it’s easy is that they can do it, I suggest you say, “I think you can do it”.

31.07.2025 04:09 — 👍 37    🔁 11    💬 2    📌 0
A rough pencil drawing on dot paper.
A fairy is flying with ragged butterfly wings. They wear an off-shoulder stress that maybe looks like it’s made of feathers or leaves, and also a grumpy expression. They hold a long staff with a swirly top, which is surrounded by a magical glow. Their ears are pointy and their hair is coiffed into a point too. From under their dress rises a long tail like a lion’s with a tuft on the end.

A rough pencil drawing on dot paper. A fairy is flying with ragged butterfly wings. They wear an off-shoulder stress that maybe looks like it’s made of feathers or leaves, and also a grumpy expression. They hold a long staff with a swirly top, which is surrounded by a magical glow. Their ears are pointy and their hair is coiffed into a point too. From under their dress rises a long tail like a lion’s with a tuft on the end.

Extremely rough sketch of a dark fairy with a tail.

30.07.2025 22:30 — 👍 2    🔁 1    💬 0    📌 0
A rough pencil drawing on dot paper.
A fairy is flying with ragged butterfly wings. They wear an off-shoulder stress that maybe looks like it’s made of feathers or leaves, and also a grumpy expression. They hold a long staff with a swirly top, which is surrounded by a magical glow. Their ears are pointy and their hair is coiffed into a point too. From under their dress rises a long tail like a lion’s with a tuft on the end.

A rough pencil drawing on dot paper. A fairy is flying with ragged butterfly wings. They wear an off-shoulder stress that maybe looks like it’s made of feathers or leaves, and also a grumpy expression. They hold a long staff with a swirly top, which is surrounded by a magical glow. Their ears are pointy and their hair is coiffed into a point too. From under their dress rises a long tail like a lion’s with a tuft on the end.

Extremely rough sketch of a dark fairy with a tail.

30.07.2025 22:30 — 👍 2    🔁 1    💬 0    📌 0

Distributive law? More like distributive gift!

30.07.2025 22:10 — 👍 2    🔁 0    💬 0    📌 0

No-one would believe me if they hadn’t seen it in action when I say how much fun I think the distributive law is.

30.07.2025 22:08 — 👍 4    🔁 0    💬 0    📌 1

A confusing splash of orange seems to hang in the air above a green yucca in a front yard. When I get close enough to see clearly, I see a round autumn leaf from a nearby ornamental pear has been skewered neatly through its centre by the sharp tip of one of the yucca’s long pointy leaves.

30.07.2025 21:57 — 👍 3    🔁 1    💬 1    📌 0

A confusing splash of orange seems to hang in the air above a green yucca in a front yard. When I get close enough to see clearly, I see a round autumn leaf from a nearby ornamental pear has been skewered neatly through its centre by the sharp tip of one of the yucca’s long pointy leaves.

30.07.2025 21:57 — 👍 3    🔁 1    💬 1    📌 0

Some people are ok with writing the whole line at once, but it is extremely common that those people don't trust multiplication and division to hold the numbers together and always put brackets to make sure they get done first.

30.07.2025 20:25 — 👍 2    🔁 0    💬 2    📌 0

They are indeed. And if someone had written “Axel is taller than Beatrice”, you wouldn’t read it aloud as “Beatrice is shorter than Axel”, even if they do mean the same thing.

30.07.2025 19:26 — 👍 1    🔁 0    💬 1    📌 0

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