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South-up map orientation is the orientation of a map with south up, at the top of the map, amounting to a 180-degree rotation of the map from the standard convention of north-up. Maps in this orientation are sometimes called upside down maps or reversed maps. [citation needed] Other maps with non-standard orientation include T and O maps, polar ...
Project Mathematics! (stylized as Project MATHEMATICS!), is a series of educational video modules and accompanying workbooks for teachers, developed at the California Institute of Technology to help teach basic principles of mathematics to high school students. [1] In 2017, the entire series of videos was made available on YouTube.
Cardinal directions or cardinal points may sometimes be extended to include vertical position (elevation, altitude, depth): north and south, east and west, up and down; or mathematically the six directions of the x-, y-, and z-axes in three-dimensional Cartesian coordinates. Topographic maps include elevation, typically via contour lines.
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A torus is an orientable surface The Möbius strip is a non-orientable surface. Note how the disk flips with every loop. The Roman surface is non-orientable.. In mathematics, orientability is a property of some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise". [1]
The orientation of a map is the relationship between the directions on the map and the corresponding compass directions in reality. The word " orient " is derived from Latin oriens , meaning east. In the Middle Ages many maps, including the T and O maps , were drawn with east at the top (meaning that the direction "up" on the map corresponds to ...
A medieval depiction of the Ecumene (1482, Johannes Schnitzer, engraver), constructed after the coordinates in Ptolemy's Geography and using his second map projection. In cartography, a map projection is any of a broad set of transformations employed to represent the curved two-dimensional surface of a globe on a plane.
One explanation for why the map places south at the top is that 15th-century compasses were south-pointing. [6] In addition, south at the top was used in Arab maps of the time. In contrast, most European mappae mundi from the era placed east at the top, since east was the direction of the biblical Garden of Eden .