fibonacci - Fractal Kitty

Sign in Subscribe

fibonacci

A collection of 13 posts

17 mod 5 = 2 is shown to display modular arithmetic.

Inquiries-Week 2: Modular Fibonacci

image of game with highest tile being 1597.

SumFib

After playing simple yet addictive games like Threes and 2048, I wondered how the gameplay mechanics would translate using Fibonacci numbers, which introduce a unique twist. I wrote a prototype in p5js. You can swipe on mobile or use arrows/WASD on desktop. I did this in about a day and unit tested

Hyperbolic Kittyoid

Hyperbolic Kittyoid

Gold-Phi-nch

This was inspired by my backyard Gold-phi-nches (goldfinches) that cluster on my sunflowers, brighten my days, and provide hours of entertainment. As someone who has been isolated pre-covid, I am so grateful for the joy that birds bring me. I imagine the flocks propagating sunflowers far and wide to

Mod Fibonacci

Finite Melodies for an Infinite Sequence A few years ago I asked myself how I could play the Fibonacci sequence on the piano. I found that if I divided the Fibonacci sequence by the number of keys I wished to play, I got a set of numbers that would infinitely repeat. I tested this observation […]

a tree growing and shrinking gif

Big Bounce as a Tree

a gif of circle popping that have diameters of fibonacci numbers

Popping Fibonacci

a sunflower making a heart

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

a sunflower spiral pattern made with stickynotes

Miscellaneous - interviews, ideas, and more

Sticky Note Sunflower

What you are seeing is a growth pattern of sticky notes that uses the Golden Angle (137.5 degrees) and then slowly decreases. This angle is commonly found in the plants all around us because it is an optimal angle for growth. It was a lot of fun playing with the growth angle while creating memorizin

a scattering of kirigami on a table of many colors

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 […]

paper woven so that 4 yellow suns repeat with red, yellow and red

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

music with the pisano period harmonies of mod 12 and 24

52 Weeks of Math Activities

Week 26: Musical Math

You don’t have to be a musician to play with music and math. This week, I encourage learners to experiment with sound and patterns. Below is a list of ideas to experiment with: 1. Create a rhythm as an individual or a class that follows a sequence and build

a laser cut loom with blue and white yarn

52 Weeks of Math Activities

Week 23: Fibonacci Weaving

If I am not playing with math, then I am tangled in yarn and thinking about math. This week I combined the two and wove A small fibonacci washcloth. Fiber arts are so versatile and an insanely fun way to express mathematics. In future weeks we will look at collage

Want to become a better programmer? Join the Recurse Center!

Sophia

Mathematics educator and creative coder exploring the beauty of mathematical concepts through interactive visualizations and playful learning.

Mathematics

Education

Creative Coding