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» Computational Origami Construction as Constraint Solving and...
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MKM
2005
Springer
13 years 11 months ago
Computational Origami of a Morley's Triangle
Abstract. We present a computational origami construction of Morley’s triangles and automated proof of correctness of the generalized Morley’s theorem in a streamlined process ...
Tetsuo Ida, Hidekazu Takahashi, Mircea Marin
CAD
2010
Springer
13 years 6 months ago
A non-rigid cluster rewriting approach to solve systems of 3D geometric constraints
We present a new constructive solving approach for systems of 3D geometric constraints. The solver is based on the cluster rewriting approach, which can efficiently solve large sy...
Hilderick A. van der Meiden, Willem F. Bronsvoort
SG
2009
Springer
14 years 24 days ago
A Rendering Method for 3D Origami Models Using Face Overlapping Relations
When we construct a model of origami (a model of a folded sheet of paper) in a computer, it is usual to represent the model as a set of polygons having zero thickness. One of the t...
Yohsuke Furuta, Jun Mitani, Yukio Fukui
COMPGEOM
1999
ACM
13 years 10 months ago
Folding Flat Silhouettes and Wrapping Polyhedral Packages: New Results in Computational Origami
We show a remarkable fact about folding paper: From a single rectangular sheet of paper, one can fold it into a flat origami that takes the (scaled) shape of any connected polygo...
Erik D. Demaine, Martin L. Demaine, Joseph S. B. M...
RTA
2010
Springer
13 years 10 months ago
Automated Confluence Proof by Decreasing Diagrams based on Rule-Labelling
Decreasing diagrams technique (van Oostrom, 1994) is a technique that can be widely applied to prove confluence of rewrite systems. To directly apply the decreasing diagrams techn...
Takahito Aoto