Origami and Math: Simple to Complex
Paperfolders at every level of expertise will appreciate this original compilation of models inspired by mathematical principles. Origami master John Montroll presents 39 projects, each made from a single square sheet of paper. Models range from the simplicity of a triangle to highly complex cubicles and other geometric shapes.
Montroll, who is noted for meticulously developed folding sequences that result in better models with fewer steps, provides detailed instructions and diagrams. He also discusses techniques for dividing paper into fractions, folding to any location on the edge of the square, and using mathematics to attain precision in folding animal models, including camels and elephants. Other models include a collection of polygons, 2-D and 3-D models that employ pentagonal symmetry, and eight chessboards of increasing complexity.
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3D intermediate step Angle at vertex animal bisect the angles Book-fold symmetry Bring the corners Chess Board Chess Table corners Unfold crease pattern Crimp-fold Decagon divide into nths Dividing the Square Divisions of 1/5 Dodecagon Dog Base dots meet dots will meet dromedary Edge page 116 Equilateral Triangle Five-Pointed Flower Five-Sided Square Fold and unfold Fold in half Fold inside Fold the top golden rectangle half and rotate heptagon hidden edge Inside Reverse Fold John Montroll landmark marks are found math meet the edge Mountain-fold origami paper original square Outside-reverse-fold paper is divided Pentagonal Troublewit Petal Petal-fold Place your finger Polygons preliminary fold Repeat steps Reverse-fold Rhombus Rotate 90 Shape the back shape the legs Shuriken silver rectangle similar Simple Elephant simple folds Square into nths square paper square sheet Squash Squash-fold sunken triangle top layer Unfold and rotate unfold Crease unfold Fold X 5 Chess