Circle Cross Circle: A simple construct of two circles with orbits slightly off center respectively used as "agitators" of the direct feedback formed by sending the shapes into a framebuffer. A simple audio oscillator-filter-modulator combination is used to modulate the shapes and so the feedback. The piece is made with the dual intention of being used as a visual (exciting) example of an iterated function system as well as transformations to an introductory college math course.
Circle Cross Hyperbolic Rhombus: A simple construct of a circle and hyperbolic rhombus with orbits slightly off center respectively used as "agitators" of the direct feedback formed by sending the shapes into a framebuffer. A simple audio oscillator-filter-modulator combination is used to modulate the shapes and so the feedback. This example as well as Circle X Circle is reminiscent of a Poincaré disk used when making sketches in hyperbolic geometry. These examples are targeted at the beginning college student, as often they are not exposed to the ideas of non-Euclidean geometries until late in their undergraduate studies if at all.
Square Cross Circle A piece built on the concept of the previous pieces with the modulation of the vertical aspect ratio of the frame buffer to give insight to the vertical stretch transformation.
Sphere Cross Pyramid This piece is built as with the previous examples of two simple shapes modulated by an audio signal. The spiraling effect of the output is not due to rotation of the frame but due to the illusion the rotating shapes produce themselves.