Symmetry – Page 5 – arbitrarilyclose

#MathArtChallenge Day 11: 8-Pointed Star

Day11 MAC eight point star — Construction (compass and straight edge) of a tessellation of 8 pointed stars.

Note: This is a first foray for the #mathartchallenge into Islamic Geometry. I would be a fool to not take this opportunity to teach you about Samira Mian. Her online courses are fantastic, and her tutorials are great. So are is her instagram!

The Challenge: Construct an 8-pointed star, and possibly tile it?

Materials needed: Straight edge, writing utensils, paper, compass? (There are tutorials for both compass and no compasses below.)
Math concepts you could explore with this challenge: angles, circles, geometric construction, Islamic geometry, symmetry, tessellations, vertices/intersections

#mathartchallenge Day 10: Arrays

The Challenge: Create an array with materials around your house. What do you notice? What do you wonder?

Materials needed: Go wild. Anything can work here: origami butterflies, shoes, paperclips, cereal, pencils…
Math concepts you could explore with this challenge: arithmetic (multiplication), counting, proportions/ratios, sequences, symmetry

#MathArtChallenge Day 4: Hyperbolic Geometry

Day4 MAC hyperbolic planes — 5 differently colored origami hyperbolic planes

The Challenge: Fold your very own Hyperbolic Plane from a simple piece of paper!

Materials Needed: A square piece of paper. Youtube instructional video below!
Math concepts you could explore with this challenge: Algebra (how many folds per stage?), angles, counting, exponents, functions, geometry, Hyperbolic planes, proportions/ratios, sequences, symmetry, topology, vertices/intersections

#MathArtChallenge Day 3: Isometric Cube Cutouts

Day3 MAC — Purple 3D looking cube with instructions for how to draw

The Challenge: Draw a cube by connecting 3 rhombi (see below). Then use lines parallel to those of the rhombi to embellish the cube.

Materials Needed: writing surface, writing utensil, straight edge, colors
Math concepts you could explore with this challenge: geometric construction, isometric grids, lines, perspective, polygons, polyhedra, topology, vertices/intersections