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A present for my dad!

I’ve been giving my girlfriend a paper frog each day, but the style of each one really depended on when I drew it

Books and roses

Keepin the crosses in the gravestone box 🙃 Origami Cross tutorial is on YouTube link: https://youtu.be/hzGwi62r58o #origami #cross #origamicross #crucifix #halloween #halloweenorigami #paperkawaii #paperfolding #papercraft #paper #gravestone

ayy its the eddboi

Want to make your own Mimikyu? Here’s the template I made!

I printed mine on a lightly yellow tinted cardstock (which is why its more yellow in the picture) and used good ol’ Elmer’s glue.. I feel like its pretty basic, but if you have any questions feel free to ask! I did not do double sided ears/tail- but if you just print them out flipped then you can get both sides :)

If you make one, please tag me back so I can see it! :D!

Beta kids papercraft based off of this design. Thanks very much to @putoshop / creechu for permission to play with her art! This was tremendously fun to work with–I adore all their expressions and I really wish a photo could capture all the sparkly papers I got to use.

*[ more of this kind of thing:
papercraft tag | patreon ]*

By me😅

Ace Attorney

The answer is **NO**, you can not. This is why all map projections are innacurate and distorted, requiring some form of compromise between how accurate the angles, distances and areas in a globe are represented.

This is all due to Gauss’s *Theorema Egregium*, which dictates that you can only bend surfaces without distortion/stretching if you don’t change their *Gaussian curvature*.

The Gaussian curvature is an intrinsic and important property of a surface. Planes, cylinders and cones all have zero Gaussian curvature, and this is why you can make a tube or a party hat out of a flat piece of paper. A sphere has a positive Gaussian curvature, and a saddle shape has a negative one, so you cannot make those starting out with something flat.

If you like pizza then you are probably intimately familiar with this theorem. That universal trick of bending a pizza slice so it stiffens up is a direct result of the theorem, as the bend forces the other direction to stay flat as to maintain zero Gaussian curvature on the slice. Here’s a Numberphile video explaining it in more detail.

However, there are several ways to *approximate* a sphere as a collection of shapes you can flatten. For instance, you can project the surface of the sphere onto an icosahedron, a solid with 20 equal triangular faces, giving you what it is called the Dymaxion projection.

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The problem with this technique is that you still have a sphere approximated by flat shapes, and not curved ones.

One of the earliest proofs of the surface area of the sphere (4πr^{2}) came from the great Greek mathematician Archimedes. He realized that he could approximate the surface of the sphere arbitrarily close by stacks of *truncated cones*. The animation below shows this construction.

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The great thing about cones is that not only they are curved surfaces, they also have zero curvature! This means we can flatten each of those conical strips onto a flat sheet of paper, which will then be a good approximation of a sphere.

So what does this flattened sphere approximated by conical strips look like? Check the image below.

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But this is not the only way to distribute the strips. We could also align them by a corner, like this:

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All of this is not exactly new, of course. In the limit, what you have is called a American polyconic projection, which does require stretching in order to fill the gaps between the ending of the strips. Gauss’s *Theorema Egregium* demands this.

But I never saw anyone assembling one of these polyconic approximations. I wanted to try it out with paper, and that photo above is the result.

It’s really hard to put together and it doesn’t hold itself up too well, but it’s a nice little reminder that * math works* after all!

Here’s the PDF to print it out, if you want to try it yourself. Send me a picture if you do!

My fav paper thing I’ve made so far.

Im[arccosh(xy+x²)], x,y∈[-π,π]

Papercraft commission for busy-old-fool of Team 7!!

Awww man aw man, I’d secretly been wanting to making EXACTLY THIS piece for years. But it would take forever! And I always had so much other work to do! Where would I even put an enormous Naruto collage anyway. BUT THEN. FINALLY. I GOT TO MAKE THE THING. I GOT TO USE PATTERNS THAT WERE ALSO PUNS ON THE CHARACTERS’ NAMES, I GOT TO MAKE A HUGE SWIRLY SCROLL, I GOT TO BE AS NOSTALGIC AND NERDY AS I WANTED. AT LAST!!! Thank you for commissioning it, friend! (ﾉ◕ヮ◕)ﾉ*:・ﾟ✧

Wowee that finale was amazing ☆ I love Super Sailor Moon’s design and made this in anticipation of the last episode. I was going to make Super Sailor Chibi Moon and Sailor Saturn but this one took longer than I expected… maybe I’ll make them in the near future🌙

Seeker of the Seas, dive down, dive deep.-Eight of Cups, Shadowscapes [x]

A papercraft rendering of one of my favorite cards from Stephanie Pui-Mun Law’s gorgeous tarot deck. I absolutely adore her art.

Figures on the eight of cups card represent letting go and moving on to seek deeper meaning or follow personal truths.

Papercraft commission for @busy-old-fool of Lizzie, Ciel and Sebastian from *Black Butler*! I did the clothes they wear in the Campania arc, because even though they’re a little simpler than the series’ usual fashion fare, they’re some of my favorites.

papercrafts are underrated

All finished with the dress! Now Givenchy, I’d like one of those please.