A book’s title page contains more than its namesake—including its author, contributors, publisher, and release date, and. Antiquarian books are known for having lengthy titles, especially those of a scientific nature. These books’ frequently unassuming title pages are gateways to a wealth of knowledge and the focal point of this project.
Title pages of antique influential scientific books covering a variety of subjects were coded and reimagined as colorful cityscapes based solely on their words to illustrate the unique body of knowledge readers would find within.
Boxes were drawn around each word of a title page and color-coded by its first letter (words beginning with “A” are one color, “B” another, and so on). Each title page has its own palette. Those boxes were then upended and arranged to form an abstract cityscape while maintaining their original sizes relative to each other.
Wang tiles (Hao Wang, 1961) are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them.
The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern.
In 1966, Wang's student Robert Berger solved the problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem then implies the undecidability of Wang's tiling problem.