Just had a fun conversation about Primitive Pythagorean Triples with Carol Jacoby from: theartofmathematicspodcast.com Can you find a coordinate M:(a,b) such that |OM|=|MA|=k, with O:(0,0) & A:(20,20) and k an integer? You should be able to listen in at the end of March #talkingmaths #mathsky

Happy half term holidays! I am celebrating by releasing another episode of #TheMathematicianspod. Find out about Systems A & B today with a double bill of 'Babylonian' Mathematicians. www.podbean.com/eas/pb-vjqv3... #talkingmaths #mathsky #mathspodcast

New oeis.org/A393283 just dropped. Take a triangular array starting (0),(1,0) Now draw a ray from the tip down to the next term. Each new term is the sum of terms on or adjacent to this ray. 0 1,0 1,1,0 2,3,2,0 Try this in mod 2 for a #cellularautomata. #mathsky #sequences #recreationalmaths

I just lost a game of rock paper scissors, four - nill, to a lobster

Here is a full set of iceberg diagrams. The score is how many full squares there are, counting the ones above the waterline as positive and the ones below the waterline as negative. Given a list of integers (eg 8, 6, 0, -5, -8) can you make an iceberg that will produce exactly that list? #MathSky

My latest obsession with maths teacher bingo has now grown to a 5*6 grid... I might have to stop here. #alevelmaths

New #mathspodcast episode just dropped of the #themathematicianspod, if you want to listen to #Baudhayana again, but with slightly updated mathematics, you will love the episode on #Apastamba A tower is built with one brick on top of another. Come meet India's second brick! #talkingmaths #mathsky

Some 'aspects/rules' of ratio tables ... collected together as an aid to proportional reasoning. 'El. V–16' = Euclid's Elements Book 5 Proposition 16 #UKMathsChat #iTeachMath

New sequence just dropped to the #oeis Start with the numbers [2,2,...] Then each new number is the product of the last two, written in mod n. The sequence stops when there is a repeating pair of consecutive numbers. a(n) is the length of the above sequence. oeis.org/A389543 #mathsky

Who wants to play: "Guess what I've been teaching" #alevelmaths

A diagram for a diagram-less tradition; gradually making some sense of Brahmagupta's Khandakhadyaka. With a couple of shadow measurements and the angle of the rising sun he could calculate the time of day. Astonishing really.

I've started a "Maths lesson Bingo" with my students. Can anyone suggest some phrases for my next card to be 4*4? #alevelmaths

That's not a position vector, it's just 3 components wearing a trench coat.

New game just dropped: #Vector-bet Can you create a letter of the alphabet using a polynomial with vector coefficients? Have a play for yourself with my #GeoGebra widget: www.geogebra.org/m/hv99xfkj Featuring drag and drop vector tools and a squiggly pen! #sillymaths #mathsky

Follow up from my #alevelmaths student: If you use 2D vectors for a high order polynomial, the resulting plot is, once again, 2D - however it is highly disorganised: Here we see a Quintic Equation. #mathsky

A great observation from my #Alevelmaths student: If you create a polynomial with vector coefficients $r=a+bt+ct^2+dt^3...$ you can get higher dimensional equivalents of the polynomial. Here is a 3D quartic equation. #mathsky

New sequence just dropped to the #OEIS Have you ever wondered how many sides are needed on a k-gon such that an inscribed and circumscribed k-gon calculates the area of a unit circle with accuracy bounds up to n digits? I know I have! If you have a 12-gon will tell you π=3 oeis.org/A391013 #mathsky

My new #OEIS sequence just dropped. Least k > a(n-1) such that k + the sum of all previous terms = 0 (mod (k-2)), with a(1)=1 and a(2)=2. 1,2,3,4,... (1+2+3+4+n) Is a multiple of (n-2). ...5,... What comes next? oeis.org/A390783 #mathsky

Very happy with this two cord braid this morning

I am delighted to share with you my first episode of the new year, and my first for the history of maths in #India. Come and listen to some instructions with rope with #Baudhayana. www.podbean.com/eas/pb-tueww... #mathstalk #mathsky

Hey folks, I'm looking to record another episode of #Un-NaturalNumbers, the YouTube maths chat show, soon. If you want to have a go at presenting a cool fact about the number 8 give me a buzz. Or pass the invite on to someone All you need is good WiFi and something interesting to say #mathatalk

Write down the Fibonacci numbers, next find the remainder of each one when you divide it by your favourite number. Then notice how long it takes for a repeating cycle. Rinse and repeat. #mathsky #pisano

Dear @tmip.bsky.social #MerryChrisTMiP Love, Ben #mathsky #Christmaths

Which is better, artistically, to see the layers of fractal pentomino tiles, or just a sea of mini pentominoes? #pentomino #mathart #mathsky #tessellation

Here is an improved mosaic of pentominoes, this time without using a 'tile stamp' method and instead a more organic fill. It contains... F| 565 I| 952 L| 197 N| 196 P| 1068 T| 1116 U| 1040 V| 538 W| 532 X| 396 Y| 2039 Z| 109

Back when I was a groomer at the zoo, my main job was cutting the lions hair

Here is a headshot of me made up of 120,000 pentominoes, each given a single colour, averaged against the original jpeg. The 10,000 'tiles' contain all 12 pentominoes and are randomly selected from the available 2339 ways to create a 6*10 tile. Still a work in progress...

Enhance...

I'm getting closer

That's more like it

I very nearly did something interesting

My daughter and I were outraged this morning watching #ShauntheSheep The goat unwinds the post and eats the grass in an unmistakable Archimedean spiral. What do you think should have happened ? #mathsky #kidmaths

Have you ever wondered what the smallest possible Dobble set is? Or why you can't construct a Heptagon. Or what a Mersenne Prime is? Find out on this latest episode of #Un-NaturalNumbers, the #mathschatshow #mathstalk #mathsky youtu.be/4rszftYsCUo

Back with some beautiful mathematics :) Let's develop some intuition behind the Möbius strip - a shape in mathematics with only one side and one edge!

Apparently you don't get to choose when you start a new obsession... #logic #riddles #nospoilers #threegods en.wikipedia.org/wiki/The_Har...

For anyone who needs a contour map, for a bit of light relief. Here is a picture of watermelon virus. #mathsky #mathsinthewild

I will have a modicum of respect for anyone who can give me a word that is exclusively used in the singular

In today's episode of "I reckon I could probably do that", I just changed the starter motor of my car. It works again! Next week on "I reckon I could probably do that", will I be able to fix the radiator in the bathroom?

So who first introduced the river crossing problem? Or the Jeep Problem? Why our good friend Alcuin of York. Have a listen to the final episode of #TheMathematiciansPodcast to find out more. #mathstalk #york #mathsky #riddles mathematicians.podbean.com/e/episode-50...

I just recorded my final 50th episode of #TheMathematiciansPodcast for this series. It's been a blast. The show will continue, but now much slower; and we will return in the new year with the story in India. You can hear the final ep tomorrow. Or support the next series with the link in my bio.

I just saw a product advertised as 12 kilo watt hours per 1000 hours. So... 12W ? #mathsky #realworldmaths #unitsgore

Today I learnt: If you inscribe and circumscribe a million-gon around a unit circle. The two areas would approximate pi to only 10 dp. (In truth, the approximation is valid by equal truncated values, and actually needs a regular polygon with 1,006,284 sides) #mathsky #pi #piapproximations #oeis

Released today, the penultimate episode of #TheMathematiciansPodcast of the Hellenistic series, with a surprising monk from Northumbria, born 755AD #Bede the venerable, very arguably a Mathematician, find out why. The guy that gave us calendars and counting mathematicians.podbean.com/e/episode-49...

TIL why you cannot construct a regular heptagon with compass and straight edge. I'll tell you all about it on the next episode of #Un-NaturalNumbers which we record tomorrow. Very excited! #mathaky #chebyshevpolynomials

A person on #Reddit asked if one person could survive an apocalypse with only the contents of a supermarket for the rest of their lives (ignoring expiry dates) What was the last #FermiApproximation you did ? #mathsky #mathstalk

If you format your LaTex equations using £\text{pounds}£ instead of $\text{dollars}$, then they are 32% more correct in the current exchange market.

I've been watching old episodes of Mr Bean with my daughter. The physical comedy is timeless, but it's really hard to explain the context of what life was like in the 90s.

I am wondering if I have a problem with #oeis searching... It's becoming obsessive #mathsky

oeis.org/A390487 My second sequence just dropped! Numbers k with the property that k is the next number that cannot be expressed as a linear sum of the squares of any of the preceding terms Very happy with that. 1, 2, 6, 7, 11, 15, 21, 25, 61, 106, 142, 155, 515, 551, 36208... #mathsky #oeis

Don't forget to support this great maths book, if you want more fiction adventures that incorporate abstract maths... #MathFi ?