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Baby Groot 2.0

Title: Baby Groot 2.0
Designer: Myself
Date of folding: 1-21-18
Paper:  24*24 cm back-coated green and brown standard origami paper
Notes for folding: Copyright the model!  Also diagram it, and wrinkle the body more so it looks more plantlike.

Recent posts


Subject: Octopus Designer: Peter Engel Date of folding: 12-28-2018 Paper: 24*24 cm. standard origami paper
Sorry for the three-month delay... I have homework to care about, after all.  I had to wait until winter break to post this, but it was totally worth it.

Happy Birthday, Blog!

Subject: Rose Designer: Myself
Date of folding: 9-6-2018
Paper: 24*24 cm. green and red standard origami paper
Notes: My latest composition, created for my blog's first birthday!  This model debuted on the class trip (and got stolen--it's a long story), and it was an instant hit.

Epsilon Camp: The Math Behind the Models

Part 100 (here are parts 1, 10, and 11)

As I've said in three previous blog posts (links above), I taught origami at a math camp for two weeks.  Inevitably, people started asking me if I could do math with my origami skills.

Now, origami is mathematical in nature.  A square (geometric shape) gets folded (constructing lines) and those lines intersect at different places (constructing points).  Using math, it is possible to design complicated models that would be impossible otherwise.  Many of the insects I folded over these two weeks were folded mathematically.  The Japanese word for such models is origami sekkei: technical origami.  The concept is hard to pin down, but in my view, origami sekkei means models that have been constructed rigorously and thought over before starting to fold.  A technical origami model can be described to someone, and that someone can (theoretically) fold it before the designer does.

Moving on, mathematical origami is also part of a larger field of math…

The Models of Epsilon Camp

 Part 11 (see part 1 and part 10)

Hi, everyone!
It's been a while, but I finally had enough time to post this.  Throughout my two weeks at Epsilon Camp, I was an unofficial origami instructor, so I got to teach people how to fold.  But I also folded a lot of my own origami, as you will see in this post.

Tetrahedron (four sides)
Octahedron (eight sides)
Icosahedron (twenty sides)
Square Antiprism (ten sides, like a square prism but one of the squares is rotated)
Stella Octangula
Gamma Star (an intersecting cube and octahedron)
Spotted Ladybug
Five-Horned Beetle
Flying Grasshopper
Periodical Cicada
Longhorn Beetle
Dragon (easy)
Dragon (hard)
Otachi (kaiju)
Top (actually spins!)
Hyperbolic Paraboloid (see next post)

My First Teaching Assignment (part 10)

 part 10 (check out part 1 first)

Hello again!  If you remember my previous post, I have been teaching origami at Epsilon Camp.  (And if you don't get the "part 10" part of my title, remember: There are 10 kinds of people, those who know binary and those who don't.)  Today's my last day here, and while I'm sad about leaving, I do remember that I'm going to come back next year.  (I do admit that two weeks of straight teaching is a lot, and I'm sort of glad that it's ended. )  Look for a future post titled Epsilon Camp 2019 or something.
In other news, the Invicta has been put on hold until I get back home to my stash of good paper.  I am proud to announce both Otachi, Prototype #5, and a future origami exhibition, The Best of Phylum Arthropoda, Part II!  (Here's the original.)  Pictures down below, and of course, the other highlights from the week.

Two more posts, and then that's it for Epsilon Camp-related origami.  Come back for parts 11 …

My First Teaching Assignment

 Part 1

Greetings from Kepler-16b, faithful readers!
This Monday, I was selected for a surprising task: teaching origami to kids at Epsilon Camp.

For those of you who don't know, Epsilon Camp is a two-week mathematics camp for kids aged 7-12.  The qualifications?  Completion of Algebra I (an AoPS online class works), as well as a rather difficult placement exam.  First-time campers learn geometric proofs, logic, and number theory, among other topics.  The older years get a taste of complexity theory and try to prove that 1+1=2.  Seriously, it's difficult.

Aside from the deceptively difficult problems, kids get to make friends who are just as gifted in mathematics as they are, and teachers who understand them.

Here are some highlights from the week!
Well, that's it.  Come back next Friday for part 2!

EDIT: I got the age range wrong.  Campers are between 7-12, not 8-11.


Title: Bicycle
Creator: Jason Ku
Paper: 30*30 cm foil paper
Date of folding: 7-11-2018 (barely, it was almost 1:00 when I finished)
Notes: The back wheel is a mess.  That's why the camera angles look funny--I was trying to hide the flaws.