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DOI: 10.7155/jgaa.00083
A Note on Rectilinearity and Angular Resolution
Vol. 8, no. 1, pp. 8994, 2004. Concise paper.
Abstract We connect two aspects of graph drawing, namely angular resolution,
and the possibility to draw with all angles an integer multiple of 2π/ d.
A planar graph with angular resolution at least π/2 can be drawn with all angles an integer multiple of π/2 (rectilinear).
For d ≠ 4, d > 2, an angular resolution of 2π/ d does not imply that the graph can be drawn with all angles an integer multiple of 2π/ d.
We argue that the exceptional situation for d=4 is due to the absence of triangles in the rectangular grid.
Keywords : Rectilinear drawing, plane graph, angular resolution, integer flow. 
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