**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.