patterns

A collection of 27 posts

Miscellaneous - interviews, ideas, and more

Playing with patterns

I have been enjoying summer communities in math learning. Howie Hua has been hosting a wonderful group on Wednesdays, and last week Shelby Strong with Stronger Math shared Fawn Nguyen’s Visual Patterns resource and I had to play with creating some randomly generated patterns (below). These patterns

coding

Random Math Poetry

I think the challenge here is to find the math that can fit the poetry… If you want a browser tab version, click here. You can also edit it and change the words as well. Below is the codepen: See the Pen OJNKQmE by Sophia (@fractalkitty) on CodePen.

coding

Parametric Play!

Here are some simple animations with parametric equations. What you see below is a function and its inverse. If you click, you will get another semi-random equation. See the Pen qBZgZvW by Sophia (@fractalkitty) on CodePen.

52 Weeks of Math Activities

Week 52: Math Rocks!

For week 52 of 52 Weeks of Hands-On Math, I couldn’t resist a play on words: Math rocks! This week I encourage learners to share their math in the neighborhood. Create sidewalk chalk art with Fibonacci hopscotch, paint a math rock garden, make a math obstacle course by your

coding

Moiré Play!

Moiré is an interference pattern that can occur in physics, photography, art, math, and more. As a photographer and mathematician, I have always enjoyed seeing these artifacts emerge. Today I played with some Moiré animation for fun in p5.js. See the Pen Moire_Play by Sophia (@fractalkitty) on CodeP

52 Weeks of Math Activities

Week 51: Block Prints

I love thinking of mirror images when I am block printing. I will never forget the time I printed SPARK backwards on accident for a summer art camp, and my kids laughed at the reverse phonics. This week, I encourage learners to take a math concept, tessellation, or shape, and

52 Weeks of Math Activities

Week 50: Flip Books

This week I encourage learners to play with their animation skills. Take a math concept, problem, or design and play with ideas to animate it. Start simple to warm up and then build on the ideas. Flip books are fun. I recommend using thinner paper that can be seen through

52 Weeks of Math Activities

Week 47: Math Dance

Get up and move! This week, learners can dance their favorite equations, math symbols, and concepts. Whatever topic is of interest or in the process of being learned is a great one to figure out the dance moves that go with it. I recommend taking 5 to 10 of your

52 Weeks of Math Activities

Week 46: Half-Square Triangles (Truchet Tiles)

If you are a quilter, then you will be a pro with this week’s activity. For the last six months, my quilting mother lived with us through chemo, and we watched her quilt her heart out. Now that she has moved back to her home, I had to laugh

52 Weeks of Math Activities

Week 39: Toothpicks

A box of toothpicks can lead to an afternoon of entertainment. This week learners can play with the toothpick sequence. The sequence produces really interesting geometries and lines as it grows. I recommend watching Numberphile’s Youtube video on this sequence here. There is also OEIS’ website that allows for

52 Weeks of Math Activities

Week 37: Cantor Set Kirigami

For this week’s activity, learners can play with Cantor Set Kirigami. The Cantor Set is created by drawing a line. Next, remove the middle third of that line (this will create 2 lines). For each of the two lines just created, remove the middle third (this will create 4

52 Weeks of Math Activities

Week 36: Golden Angle Scavenger Hunt and Drawing Phi-Nominal Phi-lowers

The Golden ratio appears in nature all around us. Flowers and other botanicals often grow at an optimal (Golden) angle of about 137.5 degrees. For the 52-weeks of math activity, I encourage learners to seek out the Golden angle on a scavenger hunt. Take pictures or sketch in a nature journal the pin

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I’m Attracted to Attractors

So many plots and mathematical musings throughout my life have brought on a sense of artistic beauty and awe within my being. In the windowless halls of engineering firms I have smiled at harmonics, or in a homeschooling room squealed in glee when I stumbled upon Pisano periods by trying to play Fib

52 Weeks of Math Activities

Week 35: Yarn-it-up Hyperbolic Space

This week let’s play with yarn! We are going to play with hyperbolic space. You will need some yarn and a crochet hook. You don’t need to know how to crochet, but you will need a little patience and a lot of desire to play. These don’t have to be perfect, and “mistakes” just add […]

52 Weeks of Math Activities

Week 34: Kirigami

I love paper cutting, so last week I did kirigami with some of my classes. What was so fun about this activity is the amount of play and discovery that happened with two simple supplies (paper and scissors). Below are the videos I recorded for my classes to be able to go back and work […]

52 Weeks of Math Activities

Week 33: Ultimate Tic-Tac-Toe

Games don’t have to be complicated to require some good thinking skills. We all learn tic-tac-toe when we are younger. We soon learn how to always come to a stalemate with an equal opponent. Once you get the strategy, it can get a little boring… But what if we

art

Isometric Drawing (Class Video)

After teaching this a few times this week, I created a video so those that may want to pause and draw at their own pace while playing with isometric paper. Feel free to contact me if you have any questions. I love doodling on Isometric paper – enjoy! Here is a link to the isometric […]

52 Weeks of Math Activities

Week 32: Isometric Drawing

Let’s get out our pencils, isometric paper, and thinking caps this week! Isometric drawings are often used in engineering and design as a way to display 3D ideas. They can also be used to create optical illusions and escheresque works of art. To start, print some isometric paper, or

52 Weeks of Math Activities

Week 31: Angle Inquiry

Sometimes the simplest things have wonder hidden within. This week, learners can play with the angles of polygons. How many degrees are in a triangle? In a quadrilateral? In a hexagon? Is there a pattern? Here is a warm-up activity: Draw a triangle (any triangle), and cut it out. Next,

52 Weeks of Math Activities

Week 30: Coloring is not just for Kindergarten

This week, I challenge learners to play with coloring sheets. Make your own. Share them. Color them. Contemplate them. Can you restrict the coloring to four or less colors? It may take some problem-solving for more complex sheets. In graph theory, there is the study of graphs that are made

52 Weeks of Math Activities

Week 29: Design a Game

This week, learners can brainstorm game ideas and test them out with family and friends. Games can be prototyped with paper, clay, cardboard, maker equipment, and/or craft supplies. When I do this with classes, we often play or analyze games that we love prior to designing our own. This

52 Weeks of Math Activities

Week 28: Apollonian Gaskets

Apollonian Gaskets are a creative way to play with circles, fractals, and mindfulness in math. Students can cut out circles and place them within circles or practice their drafting skills with a compass and ruler. The idea is to draw a large circle and then fit smaller and smaller circles

52 Weeks of Math Activities

Week 27: Patterns in the Paper Weaving

I love fiber arts and weaving. So, I have one more weaving post for this series, but this time it’s with paper. This activity is great for all ages and can be done with ribbon, bias tape, or strips of paper. I like to use origami paper strips. The

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Have you Tessellated today? Rotational Play

I posted on translating tessellations yesterday, and ended up playing with a rotational tessellation on my ipad. I had to laser print it of course and see all the various patterns. I love math!

52 Weeks of Math Activities

Week 22: Tessellations – Paper Method

This week we will do tessellations that fit together through translation (moving without rotation). We will look at reflection and rotation in other weeks. There are a few different ways to do this, but we will use the paper method today. I always start the class by talking about what different kind