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CCCG
2004
14 years 10 months ago
Continuous foldability of polygonal paper
We prove that any given well-behaved folded state of a piece of paper can be reached via a continuous folding process starting from the unfolded paper and ending with the folded st...
Erik D. Demaine, Satyan L. Devadoss, Joseph S. B. ...
CCCG
2004
14 years 10 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
CCCG
2004
14 years 10 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
CCCG
2004
14 years 10 months ago
Three-dimensional 1-bend graph drawings
We consider three-dimensional grid-drawings of graphs with at most one bend per edge. Under the additional requirement that the vertices be collinear, we prove that the minimum vo...
Pat Morin, David R. Wood
Computational Geometry
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