#triangles

[necromimetics]

This has caused great debate among my math friends so I think it needs tumblr's input

[clawmarks]

Collection of ornament books - 1680 - via Internet Archive

[madcat-world]

Confrontation - RHADS

[nemfrog]

"Construction" furnishing fabric. 1950. Ruth Adler Schnee.

Art Institute Chicago

[fruitysoupy]

I didn't miss valentine's day, they've just been on a date that long because she couldn't decide if she should kiss his forehead or his nose first

That's Birdie and Dove from my AU :]

[talos-stims]

tetrahedron gears fidget toy | source

[nikitricky]

These are 50 triangles "learning" themselves to mimic this image of a hot dog.

If you clicked "Read more", then I assume you'd be interested to hear more about this. I'll try my best, sorry if it ends up a bit rambly. Here is how I did that.

Points in multiple dimensions and function optimization

This section roughly describes some stuff you need to know before all the other stuff.

Multiple dimensions - Wikipedia roughly defines dimensionality as "The minimum number of coordinates needed to specify any point within it", meaning that for a 2-dimensional space, you need 2 numbers to specify the coordinates (x and y), but in a 3-dimensional space you need 3 numbers (x, y, and z). There are an infinite amount of dimensions (yes, even one million dimensional space exists)

Function optimization - Optimization functions try and optimize the inputs of a function to get a given output (usually the minimum, maximum, or some specific value).

How to train your triangles

Representing triangles as points - First, we need to convert our triangles to points. Here are the values that I use. (every value is normalized between 0 and 1) • 4 values for color (r, g, b, a) • 6 values for the position of each point on the triangle (x, y pair multiplied by 3 vertices) Each triangle needs 10 values, so for 10 triangles we'd need 100 values, so any image containing 10 triangles can be represented as a point in 100-dimensional space

Preparing for the optimization function - Now that we can create images using points in space, we need to tell the optimization function what to optimize. In this case - minimize the difference between 2 images (the source and the triangles). I'll be using RMSE

Training - We finally have all the things to start training. Optimization functions are a very interesting and hard field of CS (its most prominent use is in neural networks), so instead of writing my own, I'll use something from people who actually know what they're doing. I'm writing all of this code in Python, using ZOOpt. The function that ZOOpt is trying to optimize goes like so: • Generate an image from triangles using the input • Compare that image to the image we're trying to get • Return the difference

That's it! We restrict how long it takes by setting a limit on how many times can the optimizer call the function and run.

Thanks for reading. Sorry if it's a bit bad, writing isn't my forte. This was inspired by this.

You can find my (bad) code here:

https://gist.github.com/NikiTricky2/6f6e8c7c28bd5393c1c605879e2de5ff

Here is one more image for you getting so far

[billsmugs]

photos.billsmugs.com

[dear-future-ai]

@noisilyloudheart 

My triangle subdivisions

prime numbers higher than four are hard.  Hence why I skipped 11.

[noelements-setempty]

There aren't as many official types of triangle as there are quadrilateral so I picked some qualifications for each type. As well as finding a specific winner, I'll also add up and see which of equilateral, isosceles, and scalene is most popular.

Assume the 'base' of the isosceles triangle is the side that's not equal to the other two.

[tethered-heartstrings]

you can find the other poll here!

[madcat-world]

Lord of the Triangles - Alexandre Chaudret

[weheartstims]

Could I get a Bill Cipher stimboard? Maybe with forest type things and (obviously) triangles? Ty!

Bill Cipher (Gravity Falls) with forests and yellow triangles!

⚠️|🌲|⚠️ 🌲|⚠️|🌲 ⚠️|🌲|⚠️

[misscromwellsmonocle]

Triangles (1928) by Imogen Cunningham

Instagram ban of Imogen Cunningham nude photos stuns Boston museum

[fruitysoupy]

100 years later I finally drew all of my AU Links

Say hello to my lads! They're going to be in a comic I've been scripting and planning for about a year now I think? I'm calling it Link and the Links, latl for short!

More info under the cut :]

(please don't tag as LU/Linked Universe!!)

The Plot

The Links find themselves in a mysterious forest that seems somewhat familiar to all of them yet none of them know where they are. Now they have to work together to find their way home. On the way they'll discover a thing or two about each other and grow closer!

The Cast

I could talk about these guys for hours, but to keep it digestible I'll make it short

A bit of info before I get into it - all of them are taken from different points in time after the end of their adventure(s)!

Birdie (Skyward Sword)

18

Roughly 6 hours after defeating Demise

The start of it all. Unbeknownst to himself and the others, the space they find themselves in was created out of his desire to meet the heroes after him. He feels terribly guilty about the curse and very much blames himself for the possible suffering of future heroes. His main goal is to check up on everyone and help where he can!

Grasshopper (Ocarina of Time and Majora's Mask)

10

4 days after leaving Termina

Somewhat disoriented after his journey still, he tags along simply because he thinks Birdie is an idiot who would get lost without him. He doesn't talk a whole lot but he likes listening to other people's stories

Seagull (Wind Waker and Phantom Hourglass)

13

6 months after leaving the domain for the ocean King

He's a real genuine pirate, yarr!! Or so he'd like you to believe. He talks a great deal about his strength and bravery, but really is just afraid and terribly homesick most of the time. He wants to fit in with Tetra's and her crew's toughness so much he might go a little overboard on the act in a way that may or may not end up biting him in the butt.

Choo (Spirit Tracks)

14

6 months after peace returned to new Hyrule

He wouldn't call himself a hero, in fact he'd say it's a miracle he made it out alive. Self-esteem and confidence really aren't his strong suits, he often finds himself dragged along and unable to say no. He is very friendly however, and if you just give him a little space he might even open up to you.

Wolfie (Twilight Princess)

21

4 years after defeating Ganondorf

Left Ordon after intrusive thoughts convinced him he was a danger to his village, now works at Telma's bar as a waiter in exchange for a room. He's responsible well liked, though he's not too fond of himself. He has some complicated feelings about the whole turning into a wolf thing

Apple (A Link to the Past, Oracle of Ages/Seasons and Link's Awakening)

20

Just a few seconds after Koholint disappeared

From one dream right into the next (sorta?) he's understandably disoriented at first. He pushes that aside pretty much immediately though, much more interested in getting to know everyone. He's a kind and soft spoken, weirdly wise sort of guy and near instantly becomes the heart of the team

Wallflower (A Link Between Worlds)

19

4 years after wishing upon the triforce with Zelda

Bitter doesn't even begin to describe this uh.. Pleasant fella. After being bossed around for the better part of his life he doesn't take orders from anybody and is this close to quitting his job as a blacksmith. He hates being stuck here, he hates these strange people, really there's not much he doesn't hate. But that can't be all there is to him...

Puzzle (The Legend of Zelda and Adventure of Link)

18

1,5 years after waking Zelda II

Confused, disoriented, but still happy to help and ready for adventure. Though some of the others don't really like him around he's still just as friendly to everyone. Since he struggles to communicate he tends to stay quiet. He appears to be simple minded on first glance, but he'll prove to be a valuable member of the team.

Sprout (Minish Cap)

23

13 years after defeating Vaati

After his grandfather died he retreated into his house and dedicated himself to improving his blacksmithing skills to live up to his grandfather's name, he was quickly forgotten by his community and faded into obscurity. Now he may be the best blacksmith in Hyrule, so good that even the royal guard hires him, but among the general castletown population he's nothing more than a forest cryptid. He only leaves the house when he has to, carefully avoiding people. Not because they disgust him, he just has a major case of social anxiety!

Squire (Breath of the Wild)

14

3 years pre calamity

This absolute rascal couldn't be happier about his current circumstances. These unknown woods are his playground and all of these weirdos are his friends now! Though everyone's pretty sure he's a knight trainee, he insists that he's just a stable hand for the guard. His chaotic and carefree nature surprisingly doesn't get in the way of things as he's eager to help out wherever he can, seeing the whole journey as an impromptu camping trip.

Some funfacts :]

Most of them are neurodivergent in some way!

Birdie and Seagull have ADHD, Grasshopper and Choo are autistic, Squire gets the combo platter AuDHD and Wolfie has OCD

Additionally, Birdie has auditory processing disorder and dyscalculia, and Squire has dyslexia

A few of them also have speech disorders

Choo stutters and Puzzle has cluttering speech disorder

Apple has a weak voice, so after a while his voice gets tired and gets hoarse

Choo enjoys drawings and cartography, two skills that will be very important!

One of Seagull's hobbies is photography! He takes his pictobox everywhere

Wolfie also does entertainment at the bar from time to time! He sings or does card tricks

Sprout knows HSL (hylian sign language) because his grandfather was deaf

Seagull's piratey way of talking is 100% for show and painfully inconsistent

Wolfie speaks in a thick southern (in universe ordonian) accent but he's trying hard to mask it since he moved to castletown

Wallflower absolutely hates Puzzle

Squire's special interest is horses

Birdie is a bit of a doormat so he has the ideas but Wolfie is the one to actually get them through

A number of them are blood related (has nothing to do with the colours of their names in this post, I had to reuse some because there weren't enough orz)

That's all I have for you today! Thank you so much for reading, I hope you enjoyed! :]

If any of you have any questions about my Links or AU you'd like answered, my inbox is open!

Have a lovely day everyone!

[thoughts-of-endless-night]

triangles be like these are my daughters: isosceles, scalene, and... uh... equilateral.