The Challenge: Make yourself a 12-fold Islamic Geometric Rosette.
Materials needed: Compass, straight edge, paper, pencil, colors
Math Concept: angles, circles, geometric construction, geometry, Islamic geometry, lines, polygons, symmetry, tessellations, vertices/intersections.
The Challenge: Create a visual (or audio?) of the Recamán sequence, created by a Colombian mathematician, Bernardo Recamán Santos (who seems to have very little biographical information out there??). I was first introduced through Alex Bellos and Edmund Harris’s book.
Materials Needed: Straight edge, maybe a compass, maybe a ruler. Paper, riting utensil.
Math concepts you could explore with this challenge: algebra, circles, counting, functions, proportions/ratios, randomness, sequences
The Challenge: Create this design, and then once you have the basic underlying grid, play around with the possible interpretations of how to color and “finalize” it.
Materials Needed: compass, straight edge, colors; could use graphing software.
Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, tessellations
The Challenge: Create this decagon using the symmetries visible in the piece. The central images are rhombi.
Materials Needed: compass or ruler, could also use graphing software (see below!)
Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, polygons, symmetry, vertices/intersetions.
The Challenge: Create the above tessellation using compass and straight edge or isometric grid paper.
Materials Needed: compass, straight edge, grid paper, possibly isometric paper. Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, vertices/intersections.
The Challenge: Create the tessellation above using a compass and straight edge.
Materials Needed: Compass, straight edge, possibly grid paper
Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, symmetry, vertices/intersections.
The Challenge: Create all of the possible “stars” given a certain number of vertices.
Materials Needed: Pencil/paper
Math concepts you could explore with this challenge: angles, arithmetic, circles, combinations & permutations, lines, proportions/ratios, symmetry, vertices/intersections
The Challenge: Construct a rectangle using a compass.
Materials needed: Compass, straight edge, writing utensil
Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, lines, polygons, slope, symmetry, vertices/intersections
The Challenge:
Materials needed: whiteboard?, pencil/paper?
Math concepts you could explore with this challenge: circles counting, knot theory, topology, vertices/intersections
The challenge: To create this circular grid and then design using it.
Materials needed: Compass OR Desmos geometry.
Math concepts you could explore with this challenge: circles, proportions/ratios, symmetry
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