People often often associate gerrymandering with “ugly,” districts that have tortured boundaries, but many gerrymanders are quite pretty. This tutorial on gerrymandering by the Princeton Gerrymandering Project is one of the best visualizations of how gerrymandering can masquerade as a visually appealing map with compact districts.
The bulk of this video discusses the partisan symmetry statistical method of determining when partisan gerrymandering has occurred, regardless of how the map looks.