The next time you see a telephone book, look beyond the phone numbers, advertisements, thin pages, and wobbly covers. Philadelphia artist Katie Murken did exactly that when she created Continua, a work that combines recycled phone books, color dye, math, elements of chance, and sculpture.
Gathering scores of old and surplus phone books, Katie stripped off their covers and dipped the 3 outer edges into dye. In total, she dyed approximately 1,560,000 sheets of paper with 24 different colors.
Then she stacked the altered books into columns. However, the colors she used were determined by a customized color wheel and a pair of dice. A dice roll determined how she would stack the books.
The result was 24 tall columns of vibrantly colored, gently wavy books pages, arranged completely by chance. And the color! The color! Katie used non-toxic dyes from a small company in California.
Walking among the stacked pages was incredibly calming, yet energizing. It was also validating. To me, it felt like confirmation of what the knowledge inside books really looks like.
If you’d like to see more images of Continua, or read interviews about Katie and her fascinating process, you will find numerous links on Katie Murken’s site.
Photographs courtesy of Katie Murken
Go beyond Hickory Dickory Dock with this clever crank clock! Turn the handle on the back to send the characters dashing around the numbers and through the big red barn (scroll to the bottom of the post to see it in action)!
Attach the barn to the back of the clock face, right above the number 12. I highly recommend attaching the barn with hot glue. You really want the barn to stick because later, it can be used as a carrying handle for your clock! Here’s what the finished clock face looks like:
Set the finished clock face aside for a moment. Cut four, 1.5″ tabs in the end of a toilet paper tube. Then bend the tabs outward and hot glue the toilet paper tube to the back of the second cardboard circle:
You’ll notice that the toilet paper handle gets glued on the perimeter of the cardboard circle. We experimented and found that was the best handle position for cranking the clock.
Cut and color the animals from the template, and tape (or glue) them onto the ends of the craft sticks. Make sure there’s plenty of room at the bottom of the craft sticks – you’ll need some space to attach the sticks to the clock.
Tape the craft sticks to the cardboard circle. Note – the craft sticks need to be on the same side as the toilet paper tube handle. If the sticks are taped on the opposite side, they will rub and bump into your hand while you’re operating the clock. If you want to follow the order of the characters in the book, the mouse should go first, followed by the cat, dog, bees, and hen.
The back is done, time to put two clock circles together! Push a brass fastener through the clock face’s slit (you might need to enlarge the slit a little with a pair of scissors). Thread 2 foam beads on the fastener’s prongs:
Push the prongs through the second circle’s slit, then unfold the prongs and secure in place with tape. Depending on your cardboard, foam beads, and brass fastener, you might have to do a little adjusting to get the circles to rotate smoothly.
To operate the clock, grip the clock face firmly at the bottom. Use your other hand to crank the toilet paper tube handle. You might have to adjust the animals a little, or bend the clock hands upward a bit, if they snag on the barn door or the numbers. But eventually, you’ll have a smooth race around the clock!
Who knew infinity could be so beautiful? I’ve returned with Part II of the Digitopolis event post (
The boxes are designed to be infinite, interactive environments that play with your perception and inspire inquisitiveness and wonder. They were in constant use during the event, and there were lots of shrieks of amazement, enthusiastic explosions of “Cool!” and long, drawn out utterances of “Woooooow…”
Digitopolis was not without its celebrities, including the King of Numbers himself. I speak, of course, of the Mathamagician.
That’s real-life mathamagician Brent Ferguson on the right, grinning away under the pointy hat covered with equations. He’s math faculty at the Lawrenceville School, and in 2013, he was awarded the National Museum of Mathamatics’ Rosenthal Prize for innovation in math teaching. On the left is Dr. Dan Fishman, a high school math teacher, who, like Brent, has unbridled enthusiasm for all things math.
Also at the Mathamagican’s table were three Digitopolis “tourism” posters for families to take home (the posters were inspired by 
A quick word about the Mathamagician’s costume. The robes and hat were made by freshman James Jared, who ingeniously modified 
The Mathamagician wasn’t the only celebrity in Digitopolis that day. Does this gentleman look familiar to you?
Yup, it’s Albert Einstein. Or rather, professional reenactor Bill Agress playing Albert Einstein. Mr. Einstein circulated the event floor, chatted with kids, answered questions about his life and work, tried an activity or two, and posed for pictures. And yes – he wasn’t wearing any socks.
They also whipped up an 
Elsewhere in Digitopolis, another math wizard was hard at work. This is Emile Oshima, a junior at Princeton and master of the Japanese abacus. Next to him is senior Rei Mastsuura.
In addition to having Emile and Rei teaching kids how to use an abacus, Emile raced kids (and parents!) armed with electronic calculators to see who could reach the product of 3 x 3 multiplication problems faster. Emile always won. He was lightning fast!
Meanwhile, at another event table, another calculator was keeping kids busy. But this calculator was rather…odd.
The “Crazy Calculator” was designed by the Princeton Society of Women Engineers using 2 Makey Makey sets. Have you seen Makey Makey? It’s pretty awesome. Each set consists of wired alligator clips, a small central board, and computer software.
Interspersed with the other event tables were five “Pop Up History” activities that tied together math and history. These tables were designed to be simple, stand-alone, and un-staffed.
At “Global Counting,” kids could see diverse numerical systems on a big display board (the book Go Figure: A Totally Cool Book About Numbers (DK, 2005) was very helpful in this regard). Then, kids copied their favorite number system on a 3.5″ x 17″ strip of paper, and used yarn to turn it into a little scroll.
At another table were Möbius strips, a must-have for any hands-on math event. Discovered in 1858 by German mathematician August Ferdinand Möbius, the strip demonstrates how a piece of paper can have only one side! All it takes is a 2.5″ x 28″ piece of poster board, tape, and some 
Another hands-on math must-have? Tangram puzzles. Originating in China, tangram puzzles were first introduced to Europe in the 19th century. There are plenty of inexpensive tabletop tangrams out there, but we decided to splurge on some giant foam floor size versions (thinner ones purchased from SimplyFun, chunkier ones from Fat Brain Toys). Later, these were donated to a local non-profit family shelter.
The fourth Pop Up History table was called “Tally Hides.” Some American Indian tribes kept track of important things by making tally marks on animal hides and tree bark. Definitely a cool way to count!
Before the event, we cut 9″ x 12″ pieces of brown paper into the shape of a hide. During the event, kids wrinkled the paper, flattened it out, and used markers to draw the wildlife they’ve seen around their homes and town. Then, they estimated how many times they’d seen each critter, and made a tally mark next to it. The project is originally from The Secret Life of Math (Williamson Books, 2005).
The final history table was called “Tile Tessellations.” Decorating surfaces with tiles spans many cultures, and many centuries. But did you know that the geometry in Early Islamic art was so intricate, it was unrivaled for over 500 years?
Kids put their tiling and tessellating skills to work by gluing 3/4″ paper tiles to a 6″ x 6″ square of 
That’s it for history – how about some games? 
Or entire families could take a break and play Number Ninjas.
Heck, maybe you could even beat Einstein at Qbitz! After the event, the games were donated to a local non-profit family shelter.
For the musically adventurous, there was “Musical Fractions,” an activity composed by senior Matt Smith and freshman Demi Zhang. Kids used percussion instruments (assorted floor drums, wood blocks, maracas, a wooden fish, claves, and sand blocks) to learn how to play, and recognize, wholes, halves, quarters, and eighths. They also learned about musical structure and patterns.
Each instructional session ranged between 10 to 15 minutes. I wasn’t able to catch an entire one, but I did manage to grab a few seconds of this one. Just listen to those fractions!
At big events like this, my staff and I wear costumes so that people can find us quickly in the crowds (helloooo 
On the backs were our favorite numbers. Let’s hear it for 9, 2, and 11! Woot woot!
I’d like to send a million, trillion, zillion, googolplex thanks to everyone who made this event possible, and who generously gave their time to make math fun, approachable, unusual and fun. An extra shout out to the Princeton University students, and the student athletes who volunteered so energetically and enthusiastically! Thank you so much, everyone!