@mathalon.app: draw any circle and cut it into thin rings. unroll every ring into a straight strip, then stack them with the longest at the bottom. the edges settle into a straight line and the circle is a triangle: base 2πr, height r, area πr². 67 354 px² before, 67 354 px² after. archimedes, around 250 bc. #mathalon #math #geometry #areas #proportions

mathalon
mathalon
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Friday 04 September 2026 00:00:00 GMT
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dakotacharles25
Dax NewOrigin :
fundamental in how phase evolves and how time maintains history this unwrapping is how a single phase can carry a full spectrum of relationships.
2026-09-25 16:44:13
0
cathysxqbf9
neerg :
what are the angles in the triangle formed? can you use those angles to derive pie r squared?
2026-09-23 01:57:08
1
rustydog1960
Rustydog1960 :
How thick is each the line
2026-09-23 04:19:11
0
weezleberto
Brian :
Nice visualaztion of the formula. Some people are definitely visual when it comes to conceptualizing things.
2026-09-13 17:33:29
5
divineexpansion
Zanendalo1080 :
Very interesting perspective, I suppose this is how our dimensions are layered
2026-09-23 07:24:50
0
w.f500
W F :
it's how pyramids were made
2026-09-21 21:31:44
2
crazyoldmandancing
Michael David Moreno :
theres an easier method.
2026-09-12 08:43:45
1
wallacecaleba
CalebCottontail :
And the pyramids are the mathematical equivalent of earths circumference? 🤯
2026-09-04 02:24:55
9
ill.whiskey5
ill.Whiskey :
all these squares makes a circle
2026-09-14 09:49:36
0
0margalind0
Omar Galindo :
Wouldn’t any figure square, rectangle, complex quadrilaterals, do the same thing - make a triangle if dissected the same way??
2026-09-13 03:58:55
1
noneyabidness37
qwerty :
so irregular triangles are cut at an angle?
2026-09-13 12:13:37
0
endlingtales
Red3rdeye :
\int_{0}^{r} 2\pi x \, dx = 2\pi \left[ \frac{x^2}{2} \right]_{0}^{r} = \pi r^2 \sum_{k=1}^{n} 2\pi \left(k \frac{r}{n}\right) \frac{r}{n} = \frac{2\pi r^2}{n^2} \sum_{k=1}^{n} k = \frac{2\pi r^2}{n^2} \cdot \frac{n(n+1)}{2} = \pi r^2 \left(1 + \frac{1}{n}\right) \lim_{n \to \infty} \pi r^2 \left(1 + \frac{1}{n}\right) = \pi r^2
2026-09-18 23:58:51
0
flatline_yourself
⭕️FULLCIRCLE⭕️ :
Yes
2026-09-14 18:27:09
1
allenvanwert
Allen Van Wert :
... 76 circles.. so no
2026-09-14 05:38:21
0
polkins1
polkins :
How do we obtain the height of the triangle? Isn’t a circumference a series of points with only one dimension?
2026-09-17 00:37:15
1
travel.x.cross
travel.x.cross :
How we get here
2026-09-14 23:29:04
0
user626766443
Homosapienish :
Is it not beautiful
2026-09-18 17:22:41
1
esquire125
Esquire125 :
esoteric
2026-09-16 17:52:26
0
hmmmzyyys
Theonlyregionthatmatters :
Now do it with a sphere?
2026-09-16 03:18:52
1
artemis_111111111
Artemis :
Lolol
2026-09-12 15:32:01
0
reigns_rocks
Conscious_Meatsuit :
Omg. I landed in the backrooms of TikTok. 😳How did I get here!? Math. Oh no. After the stroke the brain doesn’t compute, headache in 3… 2…
2026-09-18 16:45:15
1
big614dawg
big614dawg :
How do you start with 26 rings?
2026-09-14 18:33:10
0
tommaddison62
tommaddison62 :
genius
2026-09-05 06:53:05
2
hypertexyghostprotocol
Hypertextghostprotocol :
Making things more conplicated than they actually need to be.
2026-09-12 19:05:06
0
frei_geist_421
frei_geist_421 :
Never thought of it that way, nice proof ✨ Thanks🥰
2026-09-05 08:54:08
4
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