Basic Examples (3) 

Form a triangular grid graph four elements wide and three tall:

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This graph is three elements wide and four tall:

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Specify VertexLabels:

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Scope (4) 

Make a grid graph of 57 by 57:

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A graph of 58 by 58 will not plot:

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The output is nevertheless a graph:

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Use GraphPlot to show it:

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Options (3) 

Color the background:

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Change the layout:

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Choose a vertex shape function:

Make the image large:

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VertexShapeFunction (2) 

Use built-in settings for VertexShapeFunction in the "Basic" collection:

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Simple basic shapes:

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Use built-in settings for VertexShapeFunction in the "Rounded" collection:

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EdgeShapeFunction (3) 

Get a list of built-in settings for EdgeShapeFunction:

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Undirected edges including the basic line:

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Lines with different glyphs on the edges:

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Directed edges including solid arrows:

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Line arrows:

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Properties and Relations (5) 

This is similar to GridGraph:

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There's also the resource function HexagonalGridGraph which tiles the plane with hexagons:

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The function TriangularGridGraph does not support different height and width specifications:

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This function supports different height and width dimensions:

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Make a short wide graph:

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