## Math You Can See: Art, Nature, Patterns, Society, and More

Categories below are

- Visual Art: Tools You Can Use to Create
- Visual Art and Architecture: Artists' Works
- Visual Patterns and Visualizations of Math
- Music and Dance
- Science, Literature, Nature, and Food
- Society and Social Justice

- Mosaic Painter

Online paining. Choose a mosaic type, then pick colors for different regions. - Muslim rule and compass: the magic of Islamic geometric design | Alex Bellos, The Guardian

Includes a step-by-step guide for you to create an Islamic-style tiling pattern (offline). - Silk

Really fun online math creation tool - beautiful use of symmetry and patterns. - Symmetry Artist | Math Is Fun

Draw lines, dots, and circles in different styles and colors, and this web app makes reflections or rotations of what you drew. - Recursive Drawing

As you create images, you can use those images as building blocks. Be sure to watch or read instructions at least some. - Tesselate

Put it in Edit mode and Edit Corner to change the shape being tesselated, then select colors and tesselate to see how it looks. - Star Polygon Generator

What it says. Play with the settings to make a star polygon you like, or just hit Randomize and go "Oooooooh." - Doodal

Online drawing tool that's sort of, um... fractally... oh, just go play with it. - Polyhedra from Cardstock (Slide-Togethers)

George Hart's templates and demonstrations of polyhedral constructions that can be made from cardstock. - A Valentine from Möbius | Radcliffe Institute

Want to make a valentine of two hearts linked? Cutting up two attached Moebius strips is really cool!! - CutOutFoldUp | cutoutfoldup.com

With patterns printed on paper or cardstock, scissors, and a lot of tape or glue, you can make beautiful mathematical models (though a warning - many look difficult).

- Islamic Art and Geometric Design | Metropolitan Museum of Art
- Geometry of Iran's Mosques | Inhabitat
- Impossible World: Art

"Impossible art" by artists like MC Escher. - The Mathematical Art of Hamid Naderi Yeganeh

Here's a CNN article about Hamid Naderi Yeganeh: "Next da Vinci? Math whiz uses formulas to create fantastical works of art" - Henry Segerman's Math Art

Mathematical art; 3-D sculptures & 2-D prints. Very cool colorful & printable dodecahedron on the "Autoglyphs" page! - Bathsheba Sculpture on Shapeways | Bathsheba Grossman
- Readers’ Gallery | Math Munch

Fabric art and drawings from Math Munch readers that show math (especially geometry). - The Numbers Project | Brandon Todd Wilson

Graphic design "logos" for numbers from 0 to 365 (in reverse order).

- Visual Patterns

Not just tiles! Dozens of visual patterns with drawings and some real objects like Legos.

- Factorization - Visual illustration of divisor pairs | GeoGebraTube
- Multiplication Table, Drawn to Scale

Colorful multiplication table drawn to scale! (10 x 10 is 100 times bigger than 1 x 1). Fun! - Movies and Math, Animated | mathani.tumblr.com

Super cool! Some great problems (like 7/18/15 area one), many great animations (like 6/23/15 roots one). - The Harriss Spiral | Alex Bellos, The Guardian

Pretty fractal curve made golden-ratio-style. This article has a great description of what is going on mathematically. - How To Teach Math With LEGOs | The Hub

Fractions, area & perimeter, multiplication, statistics... - Julia (Mandelbrot Set) Map (Google Maps style)
- Standing Two-Dimensional Waves Shown By Couscous | Steve Mould

Steve Mould uses couscous and a violin bow to create Chladni Figures demonstrating 2-dimensional standing waves. He includes a brief history of the math developed to understand them, mostly by Sophie Germain. - {3,3,7} Honeycomb Meets Plane at Infinity | Visual Insight

Gorgeous computer-generated image of "honeycomb in 3D hyperbolic space," etc. Just look at it!

- Wintergatan Marble Machine (incredible musical instrument using 2000 marbles)
- 2017 Winner of Science Magazine's Dance Your Ph.D. Contest: Representations of the Braid Groups | Nancy Scherich
- The Saddest Thing I Know about the Integers | Evelyn Lamb

Math shows that you can't get perfect octaves from a bunch of perfect fifths. - What Pi sounds like | Michael Blake, YouTube

Surprisingly beautiful.

- Fibonacci Numbers in Nature

Slides and photos. - The Scale of the Universe

See how the sizes of things in our universe compare to each other. (There's also an app that lets you zoom in and out, but it requires Adobe Flash Player or iOS.) - Alice's adventures in algebra: Wonderland solved | Melanie Bayley, New Scientist

Fantastic analysis of Alice as a commentary on math ideas of the time. - Huge 3200 Year Old Tree

Could be used for a proportions or estimation activity. - What 2000 Calories Looks Like - YouTube

Possible lesson inspiration here... - Incommensurate Cheez-Its | Christopher Danielson (Trianglemancsd)

Are Big Cheez-Its REALLY "Twice the size!" of regular? Christopher and his kids are on the case. - Gauss / Curvature & Strength (& Pizza) | WIRED

****You Draw It: How Family Income Affects Children’s College Chances | NYTimes.com

Predict how college attendance depends on family income, then see how close you were.

- Are you reflected in the new Congress? [2014] | The Guardian

Enter demographic info (sex, age, etc.) and find out how many members of the 2014 Congress share it. (It's not perfect; for instance, it doesn't include any multiracial options.) - Equal Population Mapper (interactive)

Find how much of any part of the US it would take to have an equal population to NYC, or LA, or TX, or... - Mapping Migration in the United States | New York Times

Fascinating map showing where people living in each state in 1900, 1950, or 2012 were born. - Parable of the Polygons | Vi Hart

How small, harmless-seeming choices can make a harmful world: discrimination simulation. - Math in the Real World | Get The Math

Some "real world" math for various art/sports/jobs; some dubious connections. Supposedly about algebra, but the Math in Music one, at least, would be good for any proportions work. Some are better than others.