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Isometric Maps are maps that use rhombuses instead of squares or rectangles. (A rhombus is a four sided figure, with all sides the same length, but not necessarily 90 degrees at the corners. Yes, a Square is technically a rhombus). Isometric maps give sort of an illusion of being 3d, but without actually being so. Sid Meier's Civilization II uses Isometric Maps.
Here is an Isometric Tile:
(This tile is actually 40x40, but the rhombus only takes up the bottom 40x21)
Hexagonal Maps are maps that use Hexagons (6 sided figures) instead of squares or rectangles. Hexagonal maps are used mostly for overhead view strategy games (The use of these dates back to Avalon Hill, and other strategy game companies).
Here is a Hexagonal Tile: 
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