siriusmart

u/siriusmart@lemmy.world
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was about to fall asleep but then PROPOSITION:

  • all magic squares are constant multitles (all numbers multiplied by a certain value), or shifted (all numbers added to by a certain value) of a very few variations of "base" magic squares this seems intuitively true by a sleepy deprived person at 1am, but if we can prove for these "base" squares, would that be the way to prove for the general case?

i.e. there r and infinite number of 1x1 magic squares, but there is only one case to deal with if we want to prove anytning about it

this is actually interesting, im currently on bed so im not writing a proof, but the rule for a 3x3 magic square of conseqetive numbers seemed to be (tested on one other example) that its inverse is 1/(3*middle number), the 3 could be the dimension of the square?

if this is true, this begs the questions:

  • is it still true for squares of non conseqetive numbers?
  • what happens when the square is 4x4 where a centre number doesnt exist

either way im gonna have a go at it when i wake up tmr, and im pinning this for being one of the coolests finds in the community

when i first showed this question to my friend, he told me that f(x) = 0 satisfies the condition. It is incredible that he said this without delay (i have not thought of that possibility at all), but at the same time it made me wanted to explode,

::: spoiler Hint Line of greatest descent is the shortest distance between two contour lines. :::

I'm sure there are many other ways to solve this, as it is a very open ended question. But anyways this is one of the favourite proof i've done ::: spoiler Solution :::

I've seen some people talking about the reason this song being pop is that all albums must have a radio song where almost everyone in the general public would accept. So my personal take while this song diverges from the classic LP style and the 2 previous songs, it doesn't really count towards the theme of the upcoming album.

I hope this song is just a show of "we can do this style" rather than "we will be doikg this style from now on", because I can already name a handful of pop songs with a similar style, and it kinda loses the point of LP.

when i first heard it i thought it sounded like mainstream pop and didnt like it, but after hearing it a few more times, i starting to like it a lot, maybe not to the level of emptiness machine, still it good a cool rhythm and it vibes

That would maybe make sense.

Yeah I think the claim might be true, but still there are probably ways to not hit a UN base of fixed location while carrying out an offensive.

This detail wasn't here this morning, the article is gradually edited as more info surfaced. See the url for the original title.

Hint: ::: spoiler spoiler Try out the following tasks before going for the big one

  1. Draw a circle of radius a.
  2. Animate a point on circle a, let that be your rotational speed.
  3. Animate a circle rolling horizontally (along the x axis) at your rotational speed.
  4. Animate a point on that horizontally rolling circle.

You should now have an idea on how to draw a hypocycloid. :::