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
Category: Polygons
#MathArtChallenge Day 44: Spirolaterals
The Challenge: Today from Ann Marie Ison
Materials Needed: Pencil & grid paper
Math Concepts: Arithmetic sequences, modular arithmetic
#MathArtChallenge Day 40: Flexagons
The Challenge: Make you very own flexagon. Inspired today by this from @ayliean. Instructions from her below.
Materials Needed: Strips of paper, cloth, or some other foldable strip.
Math concepts you could explore with this challenge: graph theory, polygons, sequences, symmetry, topology
#MathArtChallenge Day 39: Flowered Dodecahedron
The Challenge: Suggested by Clarissa Grandi, to cut out and construct this flowered dodecahedron. Mine below followed by links to instructions.
Materials Needed: A set of these papers printed and cut from cardstock. (there are other sized pieces available at the links below.
Math concepts you could explore with this challenge: geometric construction, geometry, polygons, polyhedra, symmetry, vertices/intersections
#MathArtChallenge Day 34: Similar Right Triangle Patterns.
The Challenge: Create a large number of similar right triangles using the technique described in this video from Mark Kaercher. Then play!
Materials Needed: Scissors, paper, ruler?
Math concepts you could explore with this challenge: angles, geometry, lines, polygons, proportions/ratios
#MathArtChallenge Day 29: Paper Roll Polyhedra
And now is a great time to explore some polyhedra if you haven’t yet done so! Here are some websites shared by Mark Kaercher that are great.
The Challenge: Make your very own paper roll polyhedra. All inspired by this tweet from Mr. Allan shared by Clarissa Grandi
Materials Needed: Paper rolls. Can be toilet paper or paper towel rolls or you can make your own!
Math concepts you could explore with this challenge: angles, geometry, polygons, polyhedra, symmetry, vertices/intersections
#MathArtChallenge Day 28: Paper Tube Designs
The Challenge: Today, courtesy of the extraordinary Mark Kaercher:
Materials Needed: Cardboard tube (toilet paper or paper towel rolls)
Math concepts you could explore with this challenge: angles, geometry, polygons, symmetry
#MathArtChallenge Day 27: Golden Icosahedron
The Challenge: Create your very own Golden Rectangle Icosahedron!
Materials Needed: Cardboard, markers, scissors/box cutter, string/ribbon/thread
Math concepts you could explore with this challenge: angles, geometric construction, geometry polygons, polyhedra, proportions/ratios, vertices/intersections
#MathArtChallenge Day 25: Tessellations
The Challenge: Great your very own tessellation from a small piece of cardboard.
- Start with a square (Cereal or pop box cardboard works great) Mine was 2”x2”
- Cut a piece from one side and tape it to an adjacent side.
- Repeat for remaining 2 edges.
- Trace!
Materials Needed: Pencil, paper, and cardboard from a cereal box or a pop box or something similarly thin but stiff enough to trace.
Math concepts you could explore with this challenge: angles, geometry, polygons, tessellations, vertices/intersections
#MathArtChallenge Day 24: Polygon Midpoints
The Challenge: Draw a polygon. Then mark the midpoint of each side. Connect the midpoints of each side to make a new polygon. Repeat. (Don’t sleep on the quadrilaterals here. They do something rather surprising and beautiful!)
Materials Needed: Paper & pencil or online graphing software like Geogebra or Desmos
Math concepts you could explore with this challenge: angles, fractals, functions, geometry, lines, polygons, proportions/ratios, slope symmetry, vertices/intersections.
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