Beginning with the Parthenon and ancient Greek architecture, the episode explores the basic geometric concepts of points, lines, planes and angles including narrower topics such as points in space, collinear points, coplanar points, parallel lines, and congruent angles. The TI-Nspire is used to expand and problem solve as each concept is introduced. Practical examples include how scientists at the Large Hadron Collider apply geometric concepts in the design of the particle accelerator, and the efficiency of the typical grid structure of cities like Houston, Texas. Distances on the city grid are compared using line and arc segments.