circles - Fractal Kitty

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circles

A collection of 13 posts

9 circles shaded with black lenses and grey lunes showing the intersecting of a same sized circle in a row.

Inquiries-Week 1: Circle Shading

This is the first of a series of guided inquiries in math. Introduction When circles overlap they make lunes: or lenses: or other fun shapes: Activity Let's play with how we color circles that overlap. First, draw a few circles on a page. Make their intersections distinct (no

9 oystercatchers in a mandala packing pearls around an earth reflection in a larger pearl.

Microcosm Oystercatchers

Here is another bird in the series – Microcosm Oystercatchers. These are one of my favorite birds. I often see them in the black basalt cobbles on the coast with their fluorescent beaks. I had a hard time with where I wanted to go with this piece initially and went back to gaskets (something I […]

Loon on water with lunes and area calculation

Pacific Lune

Another bird in the series! This one is a little luney. The lunes of Alhazen have the same area as the triangle. Note: Image was updated from the original post to fix an error

a painting with two kissing lunes made of smaller circles that are inside the larger done with a palette knife

Ocean Transformation

This weekend, I reflected on the ocean through my paints. I think of waves, tides, days, seasons and life in iterative cycles. The sun, moon, breath, and wave come as the same and different. Every wave that I hear is a different wave and the same ocean. Life is beautiful. This is a 16x20x1 acrylic [

Scripting Algebra

SA9: Quadrant Play

This Scripting Algebra (SA) activity looks at quadrants, mouse location, and interactive art p5.js. This activity assumes that the skills from SA1-SA8 were introduced (if-else, logical operators, random(), text(), rect(), variables, loop, pow, for, functions, translate, modulo, etc.). This activity

SA8: Odd and Even

Scripting Algebra

SA8: Odd and Even

This Scripting Algebra (SA) activity uses even and odd polynomials to create generative art in p5.js. This activity assumes that the skills from SA1-SA7 were introduced (if-else, logical operators, random(), text(), rect(), variables, loop, pow, for, functions, translate etc.). This activity will in

SA7: Directrix and Focus

Scripting Algebra

SA7: Directrix and Focus

This Scripting Algebra (SA) activity uses parabolas again to make generative art in p5.js. In SA6, we used the f(x) = ax2+bx+c form for parabolas. In SA7, we are going to take a look at the directrix and focus by using the form: (x-h)2 = 4p(y-k). This is one of my favorite ways to look […]

SA6: Parabola Art

Scripting Algebra

SA6: Parabola Art

This Scripting Algebra (SA) activity uses parabolas to make generative art in p5.js. Learners will investigate existing code to analyze changes in parabolas, and other features of the output. This activity assumes that the skills from SA1-SA5 were introduced (if-else, logical operators, random(), te

SA5: Systems of Equations

Scripting Algebra

SA5: Systems of Equations

This Scripting Algebra (SA) activity will play with systems of linear equations in p5.js. In this activity, a system of two random lines will be generated and the intersection (or solution) of those lines will be calculated to make generative art. It is recommended to introduce creating functions if

SA4: Perpendicular Play

Scripting Algebra

SA4: Perpendicular Play

This Scripting Algebra (SA) activity will introduce students to perpendicular slopes and points for lines in p5.js. Once students get comfortable with linear functions, it is fun to look at their perpendicular counterparts. Introduce the concept that a perpendicular line has a slope that is a negati

Scripting Algebra

SA3: Exponents

Exponential growth can be visualized so many different ways. This SA activity will play with the pow function and explore exponents in p5.js. This activity assumes that the skills from SA2 were introduced (if-else, logical operators, random(), text(), rect(), variables, loop, etc.). Make sure that t

a cat in orbit around a star with a helmet on and spacesuit

52 Weeks of Math Activities

Week 44: Conics, Orbits, and Projectile Motion

You don’t have to be in high school math to play with conics, orbits, and projectile motion. This week (or month), learners can play with projectile motion, orbits, and conic sections with the activities below: 1.) Slicing cones * Learners can mold cones with clay and slice to see the

geometric circle art with blues black and gold

52 Weeks of Math Activities

Week 43: Circles and Art

Circles are so much fun! This week, I encourage learners to get out their compasses or a circle to trace and start making patterns on paper. Patterns with circles can start simple, but can also get really complex. You can combine your compass with a straight edge and get amazing

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Sophia

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

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