Everything Else
Holiday Project: Origami Christmas Trees
Thanksgiving. It's sadly over. But happily replaced by the Christmas season!
News: Math Craft Inspiration of the Week: The Kinetic Wave Sculptures of Reuben Margolin
Reuben Margolin builds large scale kinetic sculptures based off of mechanical waves. Some of his sculptures contain hundreds of pulleys all working in harmony with each other to create sinusoidal waves and their resulting interference patterns. He designs them all on paper and does all of the complicated trigonometric calculations by hand. Everything is mechanical; there are no electronic controllers.
News: Sierpinski Christmas Tree
This three dimensional Sierpinski tetrahedral structure was created with a lot of help from my Year 10, 12 and 13 classes. It is inspired by the Sierpinski triangle fractal.
News: 180 Unit Sonobe Buckyball
I wondered how silly you could get with sonobe, and had a bash at a buckyball, which is a fullerene (technically a truncated isocahedron; you can see a simple model here). It's twelve pentagons—each surrounded by 5 hexagons (20 in total)—making a football shape in England or a soccer ball shape in the USA.
News: Best Math Class Project Ever
I wish there was more information about this impressively massive sonobe model, but all I can glean is that it appears to have been made by Imogen Warren, and was posted by Room 3. So awesome.
News: TUVWXYZ Star Model
So beautiful... I'm looking forward to tackling this one: Via David Petty:
News: 7 Templates for Slide-Together Geometric Paper Constructions
The "slide-together" paper construction method is a fun and satisfying way to build 3D geometric objects. It only requires paper, scissors or an exacto knife, and some patience.
News: Making Art with the Golden Ratio
You can do some pretty cool stuff with the golden ratio. The image above is made from taking each quarter-circle in the golden spiral and expanding it into a full circle. In the second image, the spiral and the golden rectangles are overlaid on the the first image, showing how it works.
News: Mathematical Quilting
I got hooked on origami sometime after Math Craft admin Cory Poole posted instructions for creating modular origami, but I had to take a break to finish a quilt I've been working on for a while now. It's my first quilt, and very simple in its construction (straight up squares, that's about it), but it got me thinking about the simple geometry and how far you could take the design to reflect complex geometries. Below are a few cool examples I found online.
News: M.C. Escher Square Tessellation Ornaments
Imatfaal's awesome post on Escher's tessellations on Polyhedra reminded me of some ornaments I made this summer. I made some of Escher's square tessellations onto cubes and then reprojected them onto spheres. I actually used a 60 sided Deltoidal hexecontahedron since that net is fairly easy to fold and looks pretty round.
News: My Sonobe Jasmine Dodecahedron
Here's my Sonobe Jasmine Dodecahedron built from Imatfaal's instructions.
News: Albrecht Dürer, the Father of Polyhedral Nets
Did you know that you can "write" in polyhedra? I just stumbled across a $24.99 font called Divina Proportione. Created by Brazilian graphic designer Paulo W, the typeface is constructed with beautiful geometric renderings by the famous Renaissance printmaker Albrecht Dürer.
Silver & Gold: DIY Modular Origami Christmas Ornaments
After becoming addicted to basic sonobe modular origami, I decided to make ornaments for relatives as Christmas gifts. I tried using fancy paper from stores like Paper Source, and cutting it to proper origami size, but I could never get the tight folds I wanted with non-traditional, non-origami paper. I ended up using this metallic origami paper that folds beautifully, and I'm pretty happy with the tiny models I ended up with. Forgive these pictures (iPhone/Instagram), I don't have my regular...
News: DIY Origami Christmas Tree
This is how my version of an origami Christmas tree turned out based on the instructions I posted awhile back. Cory also made a version from white glossy paper, which looks great. I opted for the green and brown look, but it wasn't easy.
News: Palm-Sized Pentakis Dodecahedron
I finally got around to making the pentakis dodecahedron from the instructions in Math Craft admin Cory Poole's blog post. It's not tightened/straightened up yet because I just noticed that I have two black and white and two blue and green compound modules next to each other (but no purple and pink modules next to each other—to the math experts, this is a parity thing, as you can only have even numbers of modules paired up next to each other).
News: Origami Sierpinski Tetrahedron Constructed with 250+ Modules
I've already posted a brief roundup of interesting models folded by Michal Kosmulski, expert orgami-ist and IT director at NetSprint. However, I didn't include my favorite model, because I felt it deserved its own post. Kosmulski folded an elaborate and large Sierpinski tetrahedron, which he deems "level 3" in difficulty. (Translation: hard). It is constructed with 128 modules and 126 links, based on Nick Robinson's trimodule.
News: Math Craft Inspiration of the Week: The Intricate Sonobe Art of Meenakshi Mukerji
Last week Math Craft admin Cory Poole demonstrated how to make three of the platonic solids from Sonobe units: the cube, the octahedron, and the icosohedron; but where was the dodecahedron? I was pushed to find out how to make a sonobe dodecahedron from this beautiful picture (below) that Rachel Mansur posted on the corkboard.
News: 30 Square Sliding Modular Origami
Cory's post with instructions and templates Here's my first attempt at the 30 squares model. I needed to be a little bit more careful in the measuring and cutting as not everything matches up - but it is still a really pleasing shape.
News: An Octahedron Made with Sonobe Units
My first attempt with the sonobe unit! I'm now addicted. I'll be spending the holiday folding. Instructions here.
News: A Compound of Two Cubes with a Minecraft theme
Compound of two cubes with a Minecraft theme.
News: Math Craft Inspiration of the Week: The Origami Tessellations of Eric Gjerde
Eric Gjerde is a master of origami who devotes much of his energy on origami tessellations. Some of his pieces fold nearly flat, forming layers that add just a hint of depth. These pieces look beautiful when lit from behind, due to the variations in brightness and color. Other pieces utilize three dimensions more fully, with repeated structures rising out of the flat page.
Math Craft Monday: Community Submissions (Plus Tiling with Coins)
It's Monday, and once again it's time to highlight some of the community submissions posted to the Math Craft corkboard. In addition, I thought we'd take a look at having fun with the geometrical properties of polygons and circles by using one of the best circles I know, the penny.
News: The Platonic Solids Get Trippy
If you haven't participated in this week's Math Craft project on the platonic solids, maybe this will inspire you to do so.
News: Curvy origami designs I am working on:
I have a lot more images at hyperqbert's Profile • Instagram.
News: A 3-in-1 Model
These drawings were made with Google SketchUp. There is a dodecahedral model, icosahedral model, and a third I don't know the name of, made of rhombic faces obtained by connecting vertices of the other two. The final image is all three models together. I'll use a ShopBot CNC router to cut out the pieces this week.
News: Origami Valentine's Day Present
I made a Origami Valentine's day present for my Little Sister and Neice using heart and rose origami patterns I found on-line and put them in a backet with heart shaped lollipop I bought from Target.
News: Sonobe modular Fun
Made some Sonobe modules with some note cards. I made a big one with poster paper...Paper magic
News: Parabolic Art in EL-Wire by Ben Yates
This is a new line of work I've started - inspired by string art of Archimedean Lines, these are 3-dimensional sculptures made using Electro-Luminescent Wire weaved around a clear acrylic frame. They hang on the wall, but each has a sense of depth so their look alters from different angles. The EL-Wire is a copper wire coated with a phosphor so it glows its entire length, and then coated with a plastic sleeve so that it can be handled and bend around any shape.
News: The Incredible Polyhedra Models of Mario Marín
Mario Marín has made an incredible collection of models and sculptures based on polyhedra, often using everyday and readily available items. The site is in Spanish, but click on the links on the left and there are plenty of photographs, and more can be seen in Mario's blog.
News: Twisted Small Stellated Dodecahedron Tensegrity
This is a zigzag tensegrity based on a small stellated dodecahedron. There are string pentagons on the outside of the model where the vertices have opened. It is made of thirty units, consisting of a barbecue stick pair with a loop of elastic. The stick pairs are all "floating", and weave through the model without contacting any other stick pairs. It is quite tricky to assemble, but can be done entirely by hand.
News: Platonic Solid Made from Rider Back Playing Cards
Below, my construction of a Platonic Solid made from playing cards. To make your own, templates can be found at George Hart's site; there are also full step-by-step instructions here.
News: DIY Fractal Gingerbreadmen
After I made a blog and sent it to my friends about how I made Gingerbreadman Map fractal holiday cookies, one of them linked me back to the Sierpinski Carpet cookies, which I loved! So, I thought I'd share my how-to with everyone as well!
News: Alexander Graham Bell's Tetrahedral Obsession
Oobject put together a neat compilation of the famous telephone inventor's love for tetrahedrons. Scroll down to see his collection of pyramids, building towers, buildings, boats, kites and planes—all made completely out of tiny tetrahedrons. Amazing.
News: Math Craft Inspiration of the Week: The Curve-Crease Sculptures of Erik Demaine
Erik Demaine is a Professor of Electronic Engineering and Comp Sci at MI, but he is also an origami folder who has had work displayed at the Museum of Modern Art in NYC. He makes some beautiful models and intricate puzzles, but in my opinion the really inspirational work is the curved creased models. In Erik's own words describing the above models: "Each piece in this series connects together multiple circular pieces of paper (between two and three full circles) to make a large circular ramp ...
News: DIY Papercraft Architecture with Lighting
This is probably the least "Mathy" thing I will ever post. In my opinion, it's impossible to have architecture that isn't mathematical in some sense, so I am posting it anyway. Two years ago, I made a papercraft version of a cathedral in Christchurch New Zealand (It was severely damaged in an earthquake earlier this year) and cut holes for all of the windows and lit it with LED lights. I gave it to my Mom as a Christmas gift. I thought it made for a pretty amazing "Christmas Village" piece.
News: Mathematical Knitting
Looking into mathematical quilting, I came across a community of mathematical knitters. Check out Dr. Sarah-Marie Belcastro's (research associate at Smith college and lecturer at U Mass Amherst) mathematical knitting resource page.
News: More String Art
I was browsing Reddit.com yesterday and noticed this post. User guyanonymous (yes I am really crediting him regardless of his name!) had posted up this string-art picture which has parabolic curves created from straight lines and gave me permission to post it up here on the corkboard. I love the repeating "flower" pattern.
News: Polyhedron Animation
Below, polyhedron animation test #1. The model was folded using Cory Poole's modular origami tutorial.