String Art and Envelopes, Family of Curves

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String Art and Envelopes: A Math Activity for All Ages This classic math activity is perfect for kids and adults of all skill levels, offering an easy entry point with endless possibilities for advanced exploration. The string art and mathematical appeal of the envelopes have been extensively documented in existing literature. Design Options: 1. Create a bar with hexagonal connectors to form 60-degree or 120-degree angles. 2. Design a bar with hexagonal connectors to create a precise 90-degree angle. 3. Build a bar with octagonal connectors that allow for 45-degree, 90-degree, and 135-degree angles. 4. Use circular connectors for flexible angles, securing them with super glue if necessary. 5. Construct an equilateral triangle. 6. Create a square shape. Tips and Tricks: 1. A small amount of super glue can help prevent angle changes when tension builds up in the printed material. 2. Thin rubber bands, colorful sewing threads, or dental floss make great alternatives to rope for creating envelopes. 3. Each bar is 12 cm long, with the square measuring 12 x 12 cm. 4. These models can be used for various mathematical activities, such as multiplication and fractions, and geometric explorations. References: 1. Quenell, Gregory (2009). Envelopes and String Art. Mathematics Magazine, Vol. 82, No. 3, pp. 174-185. Mathematical Association of America. Available at https://www.jstor.org/stable/27765898 2. http://www.ams.org/publicoutreach/curve-stitching 3. http://users.bestweb.net/~quenell/slides/stringart.pdf 4. https://geometryexpressions.com/downloads/StringArt.pdf 5. https://en.wikipedia.org/wiki/String_art