i talk to ai entirely in english. i can't read english so i use google translate
posted at 11:46:24
| Stats | Twitter歴 1,287日（2021-11-25より） |
ツイート数 2,557（2.0件/日） |
2025年06月04日(水)5 tweets
started using deepseek too feels like chatgpt is ahead. don't see the need for anything else
posted at 11:35:19
a person like this. she likes to touch cats. she's allergic to them pic.x.com/5GKkCqoe1m
posted at 06:10:09
being wished happy birthday by a schoolgirl—i can't imagine any greater happiness existing in the world of humankind
posted at 05:32:54
On Aug 31 last year, i got a dm from a schoolgirl. her name was ‘death’, and she sent me weird nonsense. thought it was from Sadako. said she'd be dead if it weren't for me we lost touch, but she dmed me hbd last month. guess she's got a bf
posted at 05:09:50
2025年06月03日(火)9 tweets
there are 2 ways 1) draw a point at (x, y) 2) move the point to (x, y) the latter falls into kinematics or “geometry of motion”—a middle ground of physics and math. i've always thought that. en.wikipedia.org/wiki/Kinematics
posted at 19:45:37
what comes next is what an equation is. y = x and x = 2 are lines. x = x seems like the whole plane. some say ancient people considered x² to be area, not a parabola.
posted at 15:02:01
couldn't stop bc people in the future would get lost
posted at 13:14:53
it took me a whole week and 30 posts just to organize my thoughts from a single day
posted at 13:06:04
topic 2: polar coordinates also feel natural. topic 3: cartesian coordinates divide the plane into infinitely many lines; polar coordinates into circles (just one way to think of it) x.com/yuuki26/status…
posted at 12:39:22
game of go is left-handed. chess is right-handed. (shogi is rotated right-handed) the difference between go and chess—placing on intersections vs inside squares—could also be formalized mathematically (lattice points?) </end of specializing the cartesian plane> </end of topic 1>
posted at 11:35:17
we can also think of a rotated coordinate system. en.wikipedia.org/wiki/Rotation_… a “rotating” coordinate system seems like a different idea—one that keeps spinning. en.wikipedia.org/wiki/Rotating_…
posted at 11:05:22
why “right-handed”? maybe because: 1) palm up 🫴 you can line thumb with x-axis, index with y-axis or 2) thumb up 👍 your other four fingers show the angle direction (like a protractor)
posted at 09:27:52
<specializing the cartesian plane> the usual way axes go is called right-handed, positive, counterclockwise, or standard orientation. if the y-axis goes down, it's left-handed, negative, clockwise, or non-standard. en.wikipedia.org/wiki/2D_comput… x.com/yuuki26/status…
posted at 08:34:11
2025年06月02日(月)1 tweet
Ano Natsu ga Houwa Suru. (That Summer Saturates.) - Mashiro Meme #nowplaying youtu.be/m79OrSy03rs
posted at 15:05:18
2025年06月01日(日)13 tweets
</end of generalizing the cartesian plane>
posted at 18:01:00
seems like planes and surfaces are “manifolds”. two-dimensional manifold or 2-manifold.
posted at 17:46:55
thinking of a curved plane leads to a sphere—finite. this intuition may correspond to it.
posted at 17:17:35
If all points of a connected surface S are umbilical points, then S is either contained in a sphere or in a plane. do Carmo, M. P. (1976). "Differential Geometry of Curves and Surfaces", §3-2, Proposition 4, p. 147. maybe this. en.wikipedia.org/wiki/Umbilical…
posted at 16:47:30
feels like there's a theorem only surfaces that satisfy a certain condition are planes and spheres. like “the two principal curvatures are equal and constant”.
posted at 14:49:05
“curvature” is way too difficult for me to understand at this point.
posted at 13:38:05
a cylinder 🥫 is if the radius is infinite, it's a plane. if the radius is finite, and the height is infinite, it's an infinite surface. its “curvature” is constant—but zero, it seems.
posted at 12:59:08
1) a paraboloid of revolution 🥣 comes to mind first. food sits at the bottom, but the rim is infinitely far. but 🥣 doesn't have a constant “curviness”. (if it were, it'd be a sphere 🌐—finite)
posted at 11:06:17
been using five AIs, ChatGPT, Gemini, Grok, Perplexity, and Claude, in five windows on my macbook. still figuring them out.
posted at 06:01:51
2) Yes, a sphere with an infinite radius is a plane. a circle with an infinite radius is a line—called a generalized circle, cline, or circline. en.wikipedia.org/wiki/Generalis…
posted at 04:00:42
a plane is infinite, but a sphere is finite. (the area of a sphere is 4πr²) 1) are there any infinite curved surfaces? 2) can a sphere have an infinite radius? (would it become a plane...??)
posted at 03:40:30
took a stimulant pic.x.com/umYc0CL87x
posted at 03:17:49
woke up (2am)
posted at 01:52:34
2025年05月31日(土)2 tweets
rocking my body to keep my brain fast enough to understand what i'm working on
posted at 09:53:28
we can also think of a curved 2d plane. seems it's called a "surface". driving on it feels like going up and down hills. or is it actually 3d? we can only move on the ground, tho. a sphere, cylindrical surface, paraboloid, etc. x.com/yuuki26/status…
posted at 06:11:50
2025年05月30日(金)7 tweets
slept 12 hrs 😊
posted at 22:59:30
i might be studying math. might've learned something new for the first time since my teens
posted at 10:43:12
before coordinates, what even is space? one way is to research it. another way: consider 2d euclidean space with various coordinate systems.
posted at 09:31:08
rectilinear (affine) coordinates may require each scale be an arithmetic sequence. general curvilinear coordinates do not.
posted at 07:06:32
Cartesian coordinates are both orthogonal and rectilinear. (polar coordinates are orthogonal but non-linear)
posted at 05:56:19
curvilinear ┣━ rectilinear ⟺ affine ┗━ non-linear curvilinear ┣━ orthogonal (rectangular) ┗━ skew (oblique)
posted at 05:22:25
gridlines or scales⸻there's more than one way to draw them. the standard is orthogonal (rectangular) and rectilinear, but oblique and/or curvilinear are also possible. pic.x.com/ZTUZyaaOje
posted at 03:18:00
2025年05月29日(木)2 tweets
still thinking about the continuation of this, need a few more sleeps to sort it out x.com/yuuki26/status…
posted at 10:58:21
just remembered i might've discovered in middle school that if (not (A and B)) { ... } is equivalent to if (not A or not B) { ... } (de morgan's laws). i'd totally forgotten
posted at 05:40:49
2025年05月28日(水)3 tweets
posted at 08:39:09
the former is called Heron's formula, and the latter the shoelace formula (or the surveyor's formula or Gauss's area formula).
posted at 03:56:19
Example: Area of triangle △ABC Synthetic: √(s(s - a)(s - b)(s - c)) Analytic: 1/2 |Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)| pic.x.com/33LMg2FDb6
posted at 03:06:58
2025年05月27日(火)5 tweets
when drawing figures, there are 2 ways • drawing on blank paper • drawing on graph paper i.e., drawing in a blank space, or in a space with a grid. the former is called synthetic geometry; the latter, analytic geometry.
posted at 21:25:48
just woke up (it's 8pm)
posted at 20:29:15
historically, Descartes' book "La Géométrie" (1637) is said to have contributed it. that book was difficult. it was expanded by mathematicians including van Schooten, de Beaune, Hudde, de Witt, van Heuraet, and Huygens, it seems. en.wikipedia.org/wiki/La_G%C3%A…
posted at 06:47:05
first of all, what exactly are coordinates? i've been researching it but it's tough. i think there are 3 topics • synthetic vs analytic geometry • how to represent the position of a point • how to view a space: as a collection of what?
posted at 02:50:19
could there be a new theory: poop then eat my recent breakfast instagram.com/p/DKH4YsgzXq0/ pic.x.com/edeYXdtjKu
posted at 01:38:52
2025年05月26日(月)3 tweets
isn't it healthy to drink monster energy every morning? after a good night's sleep. what do you think? pic.x.com/vMOLtvRfCG
posted at 19:40:36
took a morning bath
posted at 18:59:27
just founded “drawPoint geometry”. the study of drawing lines using only the function drawPoint(x, y) that draws a point (x, y) on the plane. i've successfully drawn a horizontal line in a 1d space. github.com/yuuki15/drawpo… pic.x.com/FHDf22ZV1U
posted at 01:45:29