The Aleph @borgesianbox - Tumblr Blog

Casual reminder that the Palestine Children's Relief Fund has a 97% on Charity Navigator and you should donate to it if u can. Despite the limited external aid that's been allowed into Gaza, they've been able to distribute a lot of aid internally. And they are providing needed aid to Lebanon.

The Palestine Children's Relief Fund was established in 1992 by concerned humanitarians in the USA to bring injured and sick children for fr

lestatdelioncuort

Amaka Umeh as DEE PHARMA

THE VAMPIRE LESTAT | 3.01 "DETROIT"

socialistexan

French-Iranian author and illustrator Marjane Satrapi, best known for the book and film “Persopolis”, has died of "sadness", members of her

This one hurt, her work had such a profound effect on my life, thoughts, and politics.

May her memory be a blessing

sqrt-73

you've heard of optimal square packing, but packing cubes in cubes also exists.

is the optimal for 12 cubes. (image from https://erich-friedman.github.io/packing/cubincub/ )

ok this is even more cursed than squares. i love it and hate it at the same time. my eyes bleed out with hearts to this.

locally-normal

Me trying to convince my wife this really is the best way to load a moving truck

p-adict

l infinity sphere packing

locally-normal

This one weird trick will make it so much easier to pack your infinity spheres!!

bobdylanyaoi

“Subverting” Catholic art? Oh, okay. I see, you think this has nothing to do with you. You log onto the internet and you post about how “Wound of Christ” from Psalter and Prayer Book of Bonne de Luxembourg, attributed to Jean le Noir, c.1349, for instance, looks like a vulva because you're trying to tell the world that you enjoy Catholic art and imagery in an alternative, queer, risqué way that challenges Christian beliefs. But what you don't know is that that stigma isn’t just a vulva. It's not just a mandorla. It's not just yonic. It's actually intentionally erotic. And you're also blithely unaware of the fact that around 1297, Saint Angela of Foligno experienced a vision of Christ himself, who called her to put her mouth to the wound in his side and lick the freshly flowing blood. And then I think it was Saint Catherine of Siena who drank blood and a clear liquid from the wound before receiving a ring made from Christ’s foreskin? And then graphically erotic encounters with the side wound of Christ quickly showed up in the writings of eight different mystics. And then the yonic interpretation of the stigmata filtered down through the illuminated manuscripts and then trickled on down into some pseudo-intellectual corner of the internet…where you, no doubt, fished it out of some Pinterest board. However, that interpretation represents hundreds of years and countless visions of religious ecstasy. And it's sort of comical how you think that you've come up with an idea that exempts you from Christian theology when, in fact…you're posting an image that was sexualized for you by the very Medieval saints you think you’re so different than…from “subverted” Catholic art.

trippiest

what a beautiful day to not be in high school

gayofthefae

This is the like those “remember to be grateful you don’t have a sore throat right now” posts. It IS a beautiful day to not be in high school! Thank you!

divorcedfranklangdon

the fact that this was mostly unscripted and Isa and Gerran broke for real makes Gerran trying to keep it at a "jeez" but breaking and dragging it out into a "jesus christ" so funny

galois-groupie

Once I saw this guy on a bridge about to jump. I said, “Don’t do it!” He said, “Everyone notices my mistakes.” I said, “Peer review doesn't notice mistakes. Are you an academic?” He said, “Yes.” I said, “Humanities or natural sciences?” He said, “Count it how you like, but a mathematician.” I said, “Me, too! Pure or applied?” He said, “Pure.” I said, “Me, too! What area?” He said, “Number theory.” I said, “Me, too! Do you study primes or Galois groups?” He said, “Galois groups.” I said, “Me, too! Langlands program or anabelian geometry?” He said, “Langlands program.” I said, “Me, too! local Langlands program or global Langlands program?” He said, “local Langlands.” I said, “Me, too! real local Langlands or geometric local Langlands? He said, “geometric local Langlands.”

I said, “Die, geometer!” And I pushed him over.

mathematikerin-freyja

And this is exactly why I would never willingly get involved with the Langlands program.

literallymechanical

This is a contender for my new favorite fusion paper. How does it feel to be the realest god damn scientist on the planet Dr. Smiet

evan-collins90

The full Fall/Holiday 1995 'Sanctuary' catalog by Cher (1995)

Incredible mail-order catalog started by Cher in 1994; this is the 1995 edition. Unfortunately, it seems the venture ended after the 1995 issue. According to a 1998 article, this was due to mismanagement & order-fulfillment problems.

Luckily found a copy available online, then scanned & cleaned-up this wonderful relic of 90's Renaissance Revival & Whimsigothic fashion & design!

weirdvic

people who think algebraic topology answers the question of how many holes are in a straw, i can destroy your argument with a single image.

this is a sphere with a hole. if i say "think of a sphere with a hole", this is what you think of. not "but a sphere already has a hole."

oddly enough, i don't think this contradicts that a sphere has a hole, it just shows that saying "a sphere with a hole" makes you think of a punctured sphere.

even more oddly, i think if i say "think of a torus with a hole" you WILL say "but a torus already has a hole."

all this to say, when we say that betti numbers count holes, it helps build intuition, it's a good first approach, and it's an idea that remains useful. what it is NOT though, is the one and only true definition of a hole in every context forever!!!

i am NOT saying that this shape has one hole, i'm saying there is no right answer because "hole" is a very vague word. it's not a question of computation, it's a question of definition. it's probably closer to philosophy or linguistics than mathematics.

depending on your reason for thinking this, i might have a big problem with you. because this reminds me of people who think defining a woman is a matter of elementary biology. thinking a vague understanding of elementary science gives you autority to answer a complicated question, while actually completely missing the point.

weirdvic

this kind of attitude is also much more interesting mathematically, because it begs the question "but what IS a hole" and it gives rise to a lot more maths!!!

my first idea was to define a hole for a surface with boundary, it would be the number of connected components of the boundary. but then a disk has a hole.

a metric approach might yield better results, but you have to be careful about whether you think a hemisphere, or a smaller fraction of a sphere, has a hole.

locally-normal

I don't do TDA, but I do kinda like its style for things like this. You randomly sample a bunch of points from this shape, and then for each distance e you draw a ball of radius e. If any two overlap, you say there's a line between the two points. If three overlap you fill in a 2d space between them. Etc.

So since the pictured sphere is of large radius and the hole smallish, and you sample sufficiently many points, then as you increase e you'll have

- a discrete set, meaningless

- a disk

- a sphere

- an m simplex for high m, ie a point, meaningless.

The transition between disk and sphere captures the "hole" in the picture.

On the other hand if you have a hemispere, I don't think you'll get this behaviour, the sphere step won't be there. Because a hemisphere really doesn't have a hole in it.

Unfortunately I don't know if there's a canonical way to sample enough points from the original space to get this data reliably. There might not be, the whole thing doesn't feel very canonical. Anyone do TDA here?

Nor do I know when the hole disappears so that we could better answer this question, but that one is definitely doable just get a computer.