**The challenge:** Create a Hilbert curve.

*Materials needed:* Paper and pencil. Grid paper is helpful.*Math concepts* *you could explore with this challenge: *exponents, fractals, geometry, sequences, symmetry, tessellations

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# Category: Exponents

## #MathArtChallenge Day 61: Hilbert Curve

## #MathArtChallenge Day 56: Hyperbolic Crochet (all credit to Daina Taimina)

## #MathArtChallenge Day 4: Hyperbolic Geometry

## #MathArtChallenge Day 1: Tons of triangles

**The challenge:** Create a Hilbert curve.

*Materials needed:* Paper and pencil. Grid paper is helpful.*Math concepts* *you could explore with this challenge: *exponents, fractals, geometry, sequences, symmetry, tessellations

**The Challenge:** Crochet your very own Hyperbolic Plane (or Pseudosphere?)

*Materials Needed:* Crochet hook, yarn.*Math concepts* *you could explore with this challenge: *exponents, hyperbolic geometry, proportions/ratios, topology

**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

**The Challenge:** Draw as many connected triangles as you can. Goal is to have as many vertices with 7 triangles as possible.

*Materials Required*: Writing surface, writing utensil*Math concepts* *you could explore with this challenge: *angles, counting, exponents, fractals, functions (exponential), triangles, geometry, graph theory, hyperbolic geometry, lines, polygons, sequences, intersections/vertices