I Brouwer’s Theorem -- II Some Applications of Brouwer’s Theorem -- III Triangulations -- IV Algorithms to Find Completely-Labelled Simplices -- V Extensions of Brouwer’s Theorem -- VI Applications of Kakutani’s Theorem and its Extensions -- VII Eaves’ First Algorithm -- VIII Merrill’s Algorithm -- IX Homotopy Algorithms -- X Triangulations with Continuous Refinement of Grid Size -- XI Measures of Efficiency for Triangulations -- References.