Today's Document
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Jules of Nature
2025 on Tumblr: Trends That Defined the Year
occasionally subtle
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Cosimo Galluzzi
Keni
Three Goblin Art

pixel skylines
Not today Justin
I'd rather be in outer space 🛸

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he wasn't even looking at me and he found me
sheepfilms
will byers stan first human second

if i look back, i am lost
styofa doing anything

#extradirty

Love Begins

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@alstrawb
Lance McClain in 2025 ? I must've really hit rock bottom
insecurities
2025 is a good number, it’s a quarter of the way through the 20 hundreds and it’s got that nice set of 2s separated by only a 0. not bad. whatever happens this year at least it’ll be happening during a good number 😌
and IT'S A SQUARE. IT'S 45 SQUARED. THE LAST TIME THIS HAPPENED WAS IN 1936 (44 squared) AND IT WON'T HAPPEN AGAIN UNTIL 2116 (46 squared)
It's not just any square, it's the square of a triangle number - 45 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9. (Which is also the sum of all the squares in a Sudoku grid, an inescapable tool if you like to do more mathematically intense sudokus.)
The squares of triangle numbers, also known as Nicomachus numbers, have a very interesting identity - the square of the sum is equal to the sum of the cubes! So we have
The previous Nicomachus year was 1296, and the next is 3025 - and given that the Gregorian calendar wasn't in use until the 16th century, I'm not holding my breath for a second Gregorian Nicomachus year to happen at all.
even more uniquely, it's (20+25)^2. we can see how many years where this happens by looking at the identity
The square root alone tells us that b=25 is the highest possible integer value where this works - anything larger would give complex a, and we generally like our calendar years to be real numbers. (Which really should be called the analytic numbers. but that's my hill to die on)
The only other integers occur at b = 0 and b = 1. Overall, this gives us 6 possible (a,b) pairs: (00,00), (100,00), (98,01), (00,01), (20,25), and (30,25). So only 0000, 0001, 2025, 3025, 9801, and 10000 can ever exhibit this property - and frankly, I'd call the first, third, and last cheating, since they don't "normally" have four digits.
interview with the vampire, "and that's the end of it. there's nothing else." // succession, "all the bells say"
superstition
i have two fujoshis advising me at all times
if you're trans, you have to live.
if you accomplish something else, then good.
if you accomplish nothing else, then good.
but you have to live.
🤍
No but seriously imagine it:
You’re seeing fall out boy on a concert. Everyone is having a great time. Fall out boy seem a little excited. “We have a surprise for you guys.” Partick says. All of a sudden P!ATD come out and start singing “this is gospel.” When Brendon gets to the chorus, someone else starts singing… “When I was a young boy my father took me into the city to see a marching band.” Lights flash everywhere, and you see FOB singing “this is gospel” along with P!ATD, while MCR is singing “Black parade”. Everyone in the crowd is going wild and crying. Then if things couldn’t get any better, Dan and Phil walk onto stage and kiss, holding the gay flag.
An armful
is this anything
[Image ID: The Simpsons frame where Superintendent Chalmers asks to see the Aurora Borealis that Principal Skinner claims is occuring in his kitchen, followed by an image of the two characters superimposed into a photo of the actual Northern Lights, which are appearing unseasonably southward over an open field. The image after that is a painted recreation, with the characters drawn normally but shaded in accordance with the scene, and the aurora drawn in broad strokes, with deep red and neon greens that sweep together against the dark night. /End ID]
🥘 stillstainless following
full dishwasher kind of annoying actually. release me
🔲 tupperware follow
can we all agree that handwash onlys are attention seeking? you're using the same dish soap as the rest of us but you need a sponge bath because you're too good for a shower
🍳 cast-iron following
op some people will die if they're washed with soap at all. unlike certain plastic divas dishes that claim to be "top row only" like that makes a fucking difference.
🔲 tupperware follow
can you actually fuck off
🥣 countercandy mutuals
fav thing to hold
fruit
vegetables
keys
candy
soup
something else/not a bowl
☕ mug-shots follow
i love being on the top row like you are NOTTT using me for coffee LMAOO
🐾 dogbowl follow
dusty ass
🍴silverwarewolf following
all tucked in. in my drawer. with my polycule <3
#and these takeout chopsticks too i guess #ok
🥡 lunchb0x follow
Excited for summer break 😃 Can't wait to see what kinds of mold i'll collect this year
#ForgottenAgain #BackpackGang #LockerGang
🔁cast-iron following
anonymous asked: Why are you whining about how other dishes like to be washed when you're literally covered in spaghetti stains
tupperware answered: what if i killed myself
🥤 papercup mutuals
WASP IN ME
what if my soulmate doesn't like dan and phil
she was at the club. it didnt change anything. it didnt save anyone. there were just too many forces against it. but it still matters that she was at the club.