Polyhedral map projection

[3] The projection used in later versions of the Dymaxion map can be generalized to other equilateral triangular faces,[4] and even to certain quadrilaterals.

[1] Christian Gottlieb Reichard created a polyhedral globe based on the cube in 1803.

In the same work as the hemisphere-in-a-square projection, Adams created maps depicting the entire globe in a rhombus, hexagon, and hexagram.

20 years later, Chamberlin and Paine used that polyhedral map in "Global Pursuit", a board game intended to teach geography to children.

[9][10] The quadrilateralized spherical cube was devised in 1975 for the Cosmic Background Explorer project.

Buckminster Fuller's Dymaxion map.