Math x Art

I'm intentionally trying to focus on math & art activities more this year, so I wanted to start a page on the blog to collect resources and posts and ideas as they develop and that we've done in the past.  There's a lot of input from students, preservice teachers and other teachers here, but I especially have to shout out to Susan Walborn (who got me started on this) and Heather Harrington Minnebo (my current partner in crime). (Note: tessellations have their own page and Islamic Geometry a separate Google doc.)

• People
• Lessons
• Other Resources: sites, books, articles, videos
• #mathart on Twitter
• #mathart I've Tumbld.

Suggestions for additions to this page are welcome, encouraged and sought out!

History of Infinity, Becca Wittebols
Her design process

I have gotten to share at Twitter Math Camp, Michigan Council of Teachers of Mathematics and NCTM Regionals on integrating math and art. The most recent, a lesson on infinity tiles with Heather. An older presentation page: http://bit.ly/mathxart, and a newer one, with Heather Minnebo http://bit.ly/nctmchi-mathart1. Also K-2 MathArt with Heather at Math in Action 2017.

People
Teachers Daniel Ruiz Aguilera (twitter)  Dan Anderson (web, processing, twitter) Clarissa Grandi aka c0mplexnumber (web, twitter) Simon Gregg (web, twitter) Martin Holtham  (web, twitter) Patrick Honner (web, twitter) math photography Paula Beardell Krieg (web, twitter) Benjamin Leis (web, twitter) Vince Matsko (web, twitter) Malke Rosenfeld (web, twitter) Paul Salomon (web, twitter) Jennifer Silverman (web, twitter) Suzanne Von Oy (web, web, twitter) Thaddeus Wert (web, twitter)	Historical Artists  Anni Albers Josef Albers Max Bill Arthur Carter Albrecht Dürer M.C. Escher (official site) Paul Klee Hilma af Klint Emma Kunz (museum) Sol Lewitt Jo Niemeyer Piet Mondrian Hélio Oiticica Luiz Sacilotto Frank Stella Victor Vasarely Leonardo da Vinci
Current Artists & Mathematicians
Pat Ashforth & Steve Plummer (web) math knitting Cecil Balmond (tumblr) Regolo Bizzi (tumblr, twitter) - Escherish Robert Bosch (web, twitter) Eric Broug (web, twitter) Islamic geometry James Brunt (web, twitter) patterns with natural materials dailyminimal - geometry Alan Davis (twitter) Eric Demaine (web) - origami, fold & cut John Edmark (web) 3D geometry & invention Frank Farris (web, twitter) Maria Linares Freire (web, twitter) Jay Friedenberg (web, pinterest, twitter) FourierArt (web, tumblr, twitter)  Edmund Harriss (web, twitter) George Hart (web) - sculpture Vi Hart (web) - video doodle star Zarah Hussain (web, twitter) - patterns & Islamic art Craig S Kaplan (web, twitter) Scott Kim (web) - ambigrams & some art activities Luftwerk (web) - pair of Chicago artists doing light & geometry John Langdon (web) - ambigrams & hidden image Reuben Margolin (web) - kinetic sculpture Alison Martin (twitter, flickr) - geometric weaving Devan Matthews aka Excelmathart (tumblr, twitter)	Joumana Medlej (web, tutorials) Islamic geometry Pendarestan (web, twitter) mathematical sculpture Ivars Peterson (web) math photography Mark A Reynolds (web) geometer Saskia Freeke (sasj, tumblr, twitter) animated geometry Nick Sayers (behance, twitter) giant art making machines & more Henry Segerman (web, twitter) Clayton Shonkwiler (web, tumblr, twitter) - animated math structures -3D printing Sharl Smith (web, twitter) - geometric art with beads David Swart (web, twitter) Laura Taalman (web, twitter) Tilman (tumblr, twitter) - daily geometry Marcus Volz (web, twitter) mathematical visualization Dearing Wang (web, twitter) mathart tutorials Chris Watson (web, twitter) - tessellations Roy Wiggins (web, twitter) - pictures & code Dave Whyte aka Bees & Bombs (tumblr, twitter) - animated math structures Hamid Naderi Yeganeh (web, twitter) - algorithmic art Benjamin Zimmerman (web, twitter) - hand-drawn geometry animations

Thanks to Martin Holtham and Tim Cieploski for lots of great suggestions above.

Lessons

John's tried

• Math in Art Festival (K-6 math & art lessons)
• Shadow Sculptures (multiage polyhedra and projection)
• K-8 MathArt Lessons (fractions, similarity, polyhedra, tangrams)
• Multiplication and Art (3rd grade game, counting circle, array art project)
• Mobile Math (multiage area, average, balance and Calder)
• Hundred Face (K-6 number); New post about the 100 Face.
• Golden Triangles (Upper Elementary geometry)

Others' Lessons

• Closed Curves (making & coloring) from Dan Ashlock (advanced)
• Farica Erwin does a week long Art with Math camp.
• Trying to Merge Math & Visuals for 4 Year Olds, Paula Beardell Krieg 
• Making Books with Money, Paula Beardell Krieg 
• Fibonacci Hexagons, Paula Beardell Krieg
• Benjamin Leis, teaching some Alison Martin weaving.
• Heather Minnebo's Freedom Quilt lesson (1st/2nd)
• Heather Minnebo's Infinity Tiles (3rd)
• Mondrian Puzzles, Gordon Hamilton (Upper El or Algebra)
• Sphere Dressing, Patrick Honner, variations for grades 3-12.
• Art for PBL, Trever Reeh (HS)
• White Line Pebbles Math from Juliet Robertson (Elementary discrete math)
• Dilation Math Art lesson by Suzanne Von Oy (HS)
• Popsicle Stick Trigonometry Sculpture, Stephanie Woldum (HS)
• Cellular Automata by Sam Shah (HS)
• 4 Squares from WOMI, which inspired 3 Triangles from Tara Trudo and this GeoGebra (K-12)
• your suggestions!

More in the resources, just keep scrolling!

Resources 

Sites

• Artfulmaths - Clarissa Grandi's great collection of lessons, ideas, and artwork
• Art of Math Ed - Jeni Van Kesteren & Laura Briscoe
• Bookzoompka - Paula Krieg's site is bursting with math art lessons.
• Bridges Math Art - organization that curates a show at the joint MAA-AMS meeting and international shows. Also notice the articles archive.
• Cut Out and Fold Up - 3D makeables
• Group Theory Coloring Book - animated/interactive, or a pdf to print
• Math Art to Love - excellent collection by Evelyn Lamb
• Math Awareness Month: Mathematics and Art
• Math Munch - Anna, Justin, Mai Li, Paul
• Math Pickle has an Artists page
• GeoGebra Math in Art collection
• Picturing Math, a Metropolitan Museum of Art exhibition. (Related post.)
• Technically Beautiful, a mathart exhibition curated by Sam Shah.
• Julie Wright's Mathart page
• #mathart on Tumblr

Books

• Patterns of the Universe and Visions of the Universe, Edmund Harriss and Alex Bellos
• Math on the Move: Engaging Students in Whole Body Learning, Malke Rosenfeld (October 2016)
• This is Not a Maths Book, Anna Weltman
• Illustrating Group Theory, Alex Berke. Printable coloring book or online & interactive. Wow.

Articles

• The Algebra Artist, MT, Darin Beigie (Desmos art)
• Art+Math=X, Marianne Freiberger, about Carla Farsi
• Art of Math Ed conversation with Jeni Van Kesteren & Laura Briscoe, and their TEDx talk.
• Art Education & Growth Mindset, from Mindshift
• Can an Algorithm Be Art?, Christian Science Monitor
• Gödel, Escher, Bach: Just Another Braid, Hans Kuiper and Walt van Ballegooijen
• Math Magic, Robert Kercher (explaining a math themed painting)
• Math Is Art, TCM, Tim Granger (tessellations unit)
• Math is their Muse, ScienceNews article on artists using math
• Masterpieces to Mathematics: Using Art to Teach Fraction, Decimal, and Percent Equivalents, MTMS, Christopher Scaptura; Jennifer Suh; Greg Mahaffey
• Teaching Mathematics through the Art of Kolam, MTMS, Syamala Chenulu (graph theory)
• Mathematical Lens: Mathematics and the Art of Sol LeWitt, MT, Timothy McKeny and Joanne Caniglia

Blog Posts (aside from the people linked above)

• Animated Mathematical Gifs - covering several different current artists
• Hilma af Klimt - graphic essay
• Lined Paper - Ben Orlin covers Matt Enlow's fascinating distortions of the lined paper you know.
• Single Line Art, on architect Wacław Szpakowski.

Videos

• Vi Hart, YouTube Channel (Maybe start with Hexaflexagons or Space Filling Curves)
• Paul Stepahin, On John Edmark
• What do we do all day?, Math/Art Projects