inquiries - Fractal Kitty

Sign in Subscribe

inquiries

A collection of 10 posts

An abstract tree with repeating group patterns in a spiral highlighted in yellow.The shape faintly resembles a lobster.

Inquiries-Week 10: Self-Descriptive

Introduction In this inquiry, we build a sequence from a single 2. The first rule of this sequence is that it has to describe itself. Starting with Two Here is a 2. 2 It says, "There are two here." The first number is a 2, so the next

49x49 grid with blue and yellow in the squares that create a reflective symmetry for circle and diamond-like patterns by shading by the remainder of 49 in the multiplication table.

Inquiries-Week 9: Mod Multiplication

Thanks to Sam Graf for introducing me to this and suggesting some toys. Introduction Multiplication tables can be fun. Line up your numbers, multiply, and find patterns. Like with 5x5, we can fill it out and highlight symmetry, divisibility, squares, and so much more. In this inquiry, we're

Pentominoes arranged as an abstract kitty with the area of 21 in the middle. The tiles are greens and blues on a white grid.

Inquiries-Week 8: Fence Maxing

Introduction Pentominoes are shapes made from 5 squares joined edge-to-edge. There are 12 of them: Next, let's define what an enclosed area is with these shapes. The pentominoes must create a fence where they touch edge-to-edge with no overlaps. Note that corners touching is

a grid of white and teal squares that almost seems like a pattern, but hard to tell.

Inquiries-Week 7: EOOEOEEO

0 8 4 2 1 ← ▶ →

string art with high density with lighter blue and darker teal strings making an 8 petal pattern in the center

Inquiries-Week 6: Beautiful Chords

Introduction In this inquiry, we explore chords, which are lines drawn across circles, using different rules to create various patterns, curves, and shapes. This inquiry will be different from those in the Inquiries Series in that it will be more open, with a focus on math + art play. Activity 1:

A 13 node graph with lines drawn in such a way that notriangles form. There is a star-like quality, but not symmetric.

Inquiries-Week 5: Triangles Emerge

Introduction In this inquiry, nodes are connected one at a time. How many lines can you draw before a triangle emerges? Starting with Four Let's start with four nodes - draw them on a sheet of paper. How many lines (called edges) can you draw before a triangle forms

A triangle with dissected into smaller triangles with 5 of them shaded that have light medium and dark shaded vertices.

Inquiries-Week 4: Triangulate the Triangle

Introduction In this inquiry, triangles are dissected into smaller triangles with vertices labeled as either light (L), medium (M), or dark (D). Any triangles that are LMD triangles are shaded with color. Triangle play Let's start with a triangle LMD: Now, let's dissect the triangle by

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

Inquiries-Week 2: Modular Fibonacci

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

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