Euclid's Postulates is a three movement work exploring Euclidian Geometry. Movement I: Locus, or, the line or surface made up of all the positions of a point or line satisfying some condition. An extended front ensemble and percussion introduction launches the full ensemble into an aggressive opening statement. Throughout the rest of the movement, high energy upper wind colors contrast the strong low brass melody allowing the individual "lines" of each voice to be clearly defined aurally and visually.

Movement II: Cylinders and Spheres, or, the locus of points equidistant from a given point is a circle. Contrasting the energy of movement I we explore the softer side of mathematics in the form of circles and spheres. A mellophone solo leads us into a emotionally moving full ensemble hit that will provide ample visual possibilities for your guard.

Movement III: Irrational Numbers or, a number that cannot be written as a simple fraction - the decimal goes on forever without repeating. Odd meters, angular hits and high energy rhythms signify the difficulty of dividing irrational numbers. This movement leads directly to a restatement of the original opening theme from movement I and finishes with a high energy ending that is sure to bring your audience to its feet!