This symposium presents the current state-of-the-art of the Shape Machine, a new computational, visual and disruptive technology, to leading experts in various fields including AI, engineering, computer science, mathematics and design to review, discuss, and envision the field of shape cognition and computing at Georgia Tech. The Shape Machine is a new computational technology that fundamentally redefines the way shapes are represented, indexed, queried and operated upon. Its foregrounding of visual rules (shape rules drawn in a 2D or 3D modeling system) over symbolic rules (instructions defined in some programming language) provides a robust technology for engineers, computer scientists, designers, students and educators, and in general academics and professionals who use drawings and visual models to develop and communicate their ideas. The Shape Machine is currently developed at the Shape Computation Lab at the School of Architecture, College of Design, in collaboration with the Schools of Mathematics and Interactive Computing at the Colleges of Science and Computing at Georgia Institute of Technology.