Ok - Mathober prompts are posted for this year for those early birds:

I hope you all join in and share your knowledge, learn, create and/or play!

I will post this sooner to October as well.

https://fractalkitty.com/2023/08/26/mathober-2023-prompts/

#mathober2023 #mathart #math #iTeachMath #mtbos #mathober

It's more moiré in a way because I basically just reworked some #mathober code so it's just more of that as opposed to anything new.

#genuary #genuary2023 #genuary23

https://tomjhinton.github.io/genuary23/#/moire

@mscroggs @timhutton
Here's one I found for an octagon in 5 pièces, thanks to @fractalkitty who offered the design of the tiling for #mathober. I just had to find the right lengths.
https://www.geogebra.org/m/p6zwuuep

Day 31 - Unity

To emphasize its unity,
Bourbaki wrote mathématique as a singular noun
— while letting spread some absurd idea of a hierarchy.

#mathober #mathober2022

Day 30 - Jitter

I view jitter bug
as the revenge of life
against the overall digitization.

#mathober #mathober2022

Day 29 - Catastrophe

Is it such a catastrophe
if Professor Thom's theory
lead to that nonsensicality?

#mathober #mathober2022

Day 28 - Singularity

Whatever Hironaka allows you to do,
I pray you will never ever resolve
Your own singularity.

#mathober #mathober2022

Day 27 - Hull

Each time a convex hull
appears in a field of mathematics,
a star begins to shine in heaven.

#mathober2022 #mathober

Day 26 - Cell

Schubert cells, Whitehead cells, Fox-Artin's wild cells…
Mathematics is a living organism,
it even has amoebas…

#mathober2022 #mathober

Day 25 - Packing

Apollonius and Kepler packed number theory, geometry and algebra
with beautiful problems
for the likes of Peter, Tom, and Marina…

#mathober #mathober2022

Day 24 - Antipodal

The Polish mathematician Karol Borsuk has shown that two antipodal places on earth
Share the same temperature and air pressure.
But there is much more to it, from combinatorics to geometry and functional analysis.

#mathober2022 #mathober

Day 23 - Braid

Artin's braids are just like hair braids, a weave of threads,
just more difficult to untangle,
if not impossible, as Dehornoy showed.

#mathober #mathober2022

Day 22 - Reciprocity

Not only a stunning mathematical result about prime numbers,
Gauss's Theorema Aureum
seems to lie at the crossroads of all of mathematics.

#mathober #mathober2022

Day 21 - Limaçon

Pascal's limaçon is not a slug,
but a particular case of roulette curve.
Dürer called it the spider curve…

#mathober #mathober2022

Day 20 - Moiré

These visual interference patterns
are beautiful on silk, but unwanted on print.
They also help you make precise measures.

#mathober #mathober2022

Day 19 - Inverse

With a little bit of reflection,
our inverse image in a mirror,
is an algebraic inversion.
So is the inverse of a number,
or even of a proposition.
But not of zero, that's an horror.

#mathober #mathober2022

Day 18 - Annulus

Can you imagine that the stability of the solar system would depend
On a problem that puzzled Henri Poincaré for a long time, until Birkhoff solved it?
— Do area preserving diffeomorphisms of the annulus have fixed points?

#mathober #mathober2022

Day 17 - Vault

Some stairs in Musée du Louvre let you admire beautiful mathematical vaults.
That makes me muse about the architecture of mathematics:
Where would you say its keystones are?

#mathober #mathober2022

Day 16 - Capsule

I didn't know a capsule could be a mathematical object,
yet the picture made me think at the aspirine I needed to read the word
spheropolyhedron.

#mathober #mathober2022

Day 15 - Tiling

Beautifully regular or puzzlingly aperiodic,
Tilings make you feel
The Harmony of the world.

#mathober #mathober2022