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  "body": "\n## Summary\n\nA **combinatorial map** is a [[combinatorial|0JKW7W7XFR]] representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding, a rotation system, an orientable ribbon graph, a fat graph, or a cyclic graph. More generally, an $n$-dimensional combinatorial map is a combinatorial representation of a graph on an $n$-dimensional orientable manifold.\n",
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