What is the best map projection?
R. Goudswaard (TU Delft - Electrical Engineering, Mathematics and Computer Science)
P.M. Visser – Mentor (TU Delft - Mathematical Physics)
O. Jaibi – Mentor (TU Delft - Mathematical Physics)
Tom Vroegrijk – Mentor (TU Delft - Analysis)
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Abstract
This bachelor's thesis explores the realm of map projections, aiming to establish a systematic approach for evaluating and ranking them based on angular and area distortions. Beginning with a definition of map projections, the study progresses to quantify the distortions that occur when projecting a spherical surface onto a flat one. Using these distortions, various maps are assessed; for each, figures of the map are displayed and a short summary of the map's features and the angular and area distortion are given. These distortions are also visualised in figures. To rank the map projections, distortion numbers are defined and refined throughout the study. The findings reveal a ranked list of map projections, providing a structured basis for selecting appropriate projections in cartographic endeavours. Through mathematical analysis, this thesis contributes to the understanding and evaluation of map projections, offering valuable insights for cartographers and researchers in the field.