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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Origami Color-Change Checkerboards</title>
</head>
<body style="background:darkgray">
<div>
<span style="font-family:sans-serif">
<b>Origami Color-Change Checkerboards</b>
</span>
</div>
<div>
© Jason S. Ku 2024
<a href="https://github.com/origamimagiro/checkerboards">
Code on Github
</a>
</div>
<hr>
<div>
<p>
This is a website for listing square origami checkerboard models folded
from a two-color square, ranked by efficiency.
This website augments the listing found at
<a href="http://www.budaiorigami.hu/en/chequered">Peter Budai's</a>
website.
</p>
<p>
Crease patterns are provided in .fold format where available,
reproduced with permission from the authors. You can download all the
crease patterns at once by
<a href="https://github.com/origamimagiro/checkerboards/archive/refs/heads/main.zip">downloading the git repository</a>.
You can also download a CSV file of the current listing <a id="csv">here</a>.
</p>
<p>
Each model is classified with the following type annotations:
<ul>
<li>
Models marked with "C" can fold into a <b>checkerboard</b> color-change pattern.
</li>
<li>
Models marked with "S" are <b>seamless</b> (each color-change region is formed by a visible
subset of a continuous crease pattern face, same as "clean" in Budai's
listing).
</li>
<li>
Models marked with "F" are <b>flippable</b> (each square can be
independently "flipped" between white and color states via
a simple local change to the model).
</li>
<li>
Models marked with "f" are <b>nearly flippable</b>,
clarified in the notes.
</li>
<li>
Models marked with "D" are <b>double-sided</b> (form a checkerboard
pattern on both sides of the model).
</li>
<li>
Models marked with "I" are <b>iso-area</b> (the crease pattern
is the same under a reflection and rotation by 180 degrees).
</li>
<li>
Models marked with "P" are <b>pureland</b> (can be folded via a sequence
of only mountain and valley folds).
</li>
</ul>
</p>
<p>
The year column represents the year the model was designed.
If multiple models were designed in the same year by the same author,
we distinguish them via their number in the "#" column.
</p>
<p>
<b>Efficiencies</b> are listed as the ratio of the target grid side to
to the side length of the starting square. Exact algebraic efficiencies
are provided where available. Models that are most efficient for a
particular grid size and type are highlighted in white. When evaluating
efficiencies between types, seamless and flippable types both count as
fuzzy.
</p>
<p>
If you would like to contribute a model to this listing, please
<a id="mail">email</a> us your contribution. Generally, we will only add
a new model to the listing if it is the most efficient for its grid
size and type at the time of submission, or would have been based on its
year of creation.
</p>
</div>
<hr>
<div id="main"></div>
<script type="module" src="./main.js"></script>
<script type="module" src="./data.js"></script>
</body>
</html>