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This is a Coloring Book about Group Theory
coloring-book
You may know of coloring books as a childhood amusement or as a means to adult relaxation. How about as a medium to explore the mathematics of symmetry?
This is a Coloring Book about Group Theory. It is both digital and on paper.

By coloring on paper, readers can explore symmetry and the beauty of math.
Following along on the digital copy to brings the concepts and illustrations to life in interactive animations.
http://beautifulsymmetry.onl
The illustrations in this book are drawn in javascript by algorithms that follow the symmetry rules of the groups that the illustrations belong to. These algorithms also use generative art techniques to add components of randomness - notice the illustrations never repeat.
Why a Coloring Book?
The content in this "book" is presented in the form of a coloring book for multiple reasons: link
Contribute
Yes please. This is an open source project and contributions are greatly appreciated.
Please see below on how to get started with running the project locally. The project's ISSUES lists known bugs and areas of improvement. You are more than invited to submit pull requests to resolve these, or any other areas of improvement you are aware of. Thanks <3
Posters
Printable posters available at /posters
- Includes printable frieze group posters
Playful Pages
-
Create a circular pattern: /circular-pattern
-
Frieze Groups explorer: /frieze
-
Wallpaper Groups explorer: /wallpaper
-
Guide to symmetries in the plane: /symmetries
- Add parameter
?printfor version formatted for printing
- Add parameter
Worksheets
-
Worksheet at /worksheet
- Print this worksheet -- meant for Second Sunday at Pioneer Works
- Designed to be printed in landscape mode on 11x17 paper
-
Frieze pattern cards at /cards
- Print and cut into cards with one pattern piece per card.
- Try to arrange these cards to generate the Frieze Patterns.
Development
- Clone the repo
$ git clone [email protected]:aberke/coloring-book.git
Fractals Submodule:
This repo uses a submodule, which is the fractals directory. This will initally be empty.
- Fill the fractals directory: run
git submodule update --init --recursive - To pull in changes from the
fractalssubmodule, run$ git submodule update --recursive --remote
Files are transpiled and built to /dist by gulp and are served by a node http-server.
- Install node modules
$ npm install - Build with gulp
$ gulp build- There should then be a
/dist/directory of the processedsrcfiles
- There should then be a
- Run
$ gulp serve- This uses
gulp watchto reprocesssrcfiles as they're updated
- This uses
- Visit http://127.0.0.1:5000
Run/Build in production mode with --production flag.
- This also concatenates + minifies the files.
$ gulp build --production$ gulp serve --production
Debugging
URL parameters:
?debug
Linting
- Uses jshint to lint Javascript via gulp via
$ gulp lintcommand - jshint settings are in
.jshintrcand ignore paths are in.jshintignore
Deployment
- Production is deployed on heroku at http://coloring-book.herokuapp.com
- Uses http server to serve assets. Reason: this allows AngularJS includes.
- Staging is deployed at https://coloring-book-staging.herokuapp.com
ALWAYS push to Staging before production.
Git Config looks something like:
...
[remote "origin"]
url = [email protected]:aberke/coloring-book.git
fetch = +refs/heads/*:refs/remotes/origin/*
[branch "master"]
remote = origin
merge = refs/heads/master
[submodule "fractals"]
url = https://github.com/aberke/fractals
[remote "production"]
url = https://git.heroku.com/coloring-book.git
fetch = +refs/heads/*:refs/remotes/heroku/*
[remote "staging"]
url = https://git.heroku.com/coloring-book-staging.git
fetch = +refs/heads/*:refs/remotes/staging/*
Workflow:
- Feature done, looks good, push to staging
$ git push staging <branch-name>
- Staging looks good, push to production
$ git push production
Style Guide
Use the /style-guide
Printable Copy
This book is designed for print with 7" x 9" trim size. It can also be printed on standard 8.5x11 (aka "letter") paper
For regenerating the PDF at /coloring-book.pdf:
- Use Firefox browser (best obeys @page CSS specs)
- Use File > Page Setup to create (custom) page size with 7"x9" dimensions
- Go to /print-book
- Make sure the illustrations look good (or click to recreate them)
- File > Print (Open the browser’s print dialog)
- "Open PDF in Preview"
- Save as PDF at
/book.pdf
Full Bleed Printing
In print production for full bleed pages, the pages must be 9.25"x7.25" so that 0.125" can be cut off from each side.
- Add URL parameter
?print-full-bleed-sizeThis resizes the pages, but keeps the interior margins the same. - Same process as above, but use (custom) page size with 7.25"x9.25" dimensions.
Helpful URL parameters:
?grayscaleto set the content to grayscale?disable-animationsto disable animations?printto test printer friendly styling of the page- This will also disable animations (for better browser performance)
?debug
Making Art Assets
Wallpaper Patterns
- Can optionally contain within maximum height via URL parater
?height=HEIGHT
Making GIFs
Can upload images to combine into GIFs here: http://gifmaker.me/
Screencast to GIFs Workflow
- Use Quicktime player to take screencast
- Use ?animate URL param to auto animate things on the page upon page load
- Use PicGIF (downloaded for mac) to convert movie --> GIF
- OR Use https://giphy.com/create/gifmaker to convert .mov file to gif
Pieces
/pieces
License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.