The Challenge: Make an origami sculpture using Tomoko Fusé’s text Multidimensional Transoformations Unit Orgiami. (I used instructions on pgs 134, 138-139.)
Materials Needed: Paper (origami paper is handy, but any paper will work) and scissors/paper cutter.
Math Concepts: 3 dimensional building, angles, space filling, rotations, proportions
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 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: 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: I’m seeing the trees start blossoming around here (MN) so this felt like a good time for this one. I used Samira Mian‘s instructions. If you’re interested in Islamic Geometry, I cannot recommend her enough. Here is my creation, followed by her youtube video.
Materials required: Compass, straight edge, pencil.
Math concepts you could explore with this challenge: circles, geometric construction, Islamic geometry, symmetry, vertices/intersections
The Challenge: Build your own Hyperboloid
Materials needed: Skewers, Tiny rubber bands (I was able to get skewers at the grocery store and polybands from Target)
Math concepts you could explore with this challenge: Angles, geometric construction, lines, symmetry, topology, vertices/intersections
The Challenge: With a compass or with tech like Geogebra or Desmos Geometry, to recreate the Lotfallah Mosque Dome design.
Materials Needed: compass, straight edge, colors. You could also use graphing software for this.
Math concepts you could explore with this challenge: angles, circles, geometric construction, geometry, Islamic geometry, lines, polygons, proportions/ratios, symmetry, vertices/intersections
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