2025 Joint Mathematics Meetings
Elizabeth Whiteley
Artists
Statement
As a studio artist I work at the interface of geometric principles and visual esthetics. Currently, I am exploring the Sacred Cut, a construction found in ancient geometry. A compass is positioned at a vertex of a square. An arc is struck from one side of the square to an adjacent side which passes through the center. When arcs are cut from all four corners they meet at the center and the Sacred Cut diagram is complete. I can then consider the potential of the spaces within the divisions for visual representations. Currently I am exploring one of my hand drawn images based on the Sacred Cut, titled Prototile B, to generate a wide variety of regular tilings with software.
Artworks
This image was generated with my Prototile B. The basic geometric structure is a Sacred Cut diagram (described in my statement) based on a square. By hand, I drew abstract botanical forms within curved selections on the diagram and titled it Prototile B. I scanned it into Photoshop 2025 and then manipulated it using symmetry operations of rotation, translation, and reflection. I composed a larger square generator composed of four adjacent Prototile B images. With that generator, I created many versions of regular tilings using the software. As an artist, I was captivated by the wave rhythms and other repetition surprises before I made a final decision for this image which uses a half-step repeat.
This image was generated with my Prototile B. The basic geometric structure is a Sacred Cut diagram (described in my statement) based on a square. By hand, I drew abstract botanical forms within curved selections on the diagram and titled it Prototile B. I scanned it into Photoshop 2025. I manipulated it using symmetry operations of rotation, translation, and reflection to create a generator composed of line drawing. I used transparent overlays of the line drawing generator to create many versions of regular tilings with the software. As an artist, I was captivated by the horizon line rhythms and other repetition surprises before I made a final decision for this image.