Y Origami? explorations in folding
Morgan, David C. & Others
Y Origami? explorations in folding - Americn Mathematical Society 2017 - x,142p.
Contents
Foreword vi
Introduction viii
Origami-based design 1
Deployable solar array 2
Ballistic barrier 8
Oriceps 12
Monolithic pointer 16
Nanoinjector 18
Tessel jet pack backpack 22
Circle/circle table 26
Plywood hinge bowl 30
O-rectractor 32
C-arm shroud 34
Backpackable solar array 36
Collapsible camp stove 38
Felt stool 40
Lens lift 44
Ruffled lamp 46
Morphing surface 50
Whole beauty bag 52
Oruga shelter 54
Bellows 56
Biopsy tool 58
Kaleidocycle bowls 60
Kinetic sculpture 62
Morphing antenna 66
Folded bundt pan 68
Learning activities 70
Euler’s formula 72
Geometric patterns 74
Finding area 75
Finding volume 76
One straight cut design 78
Thick square twist 82
Oriceps 84
Nanoinjectors 86
Modularity 87
Angular measurements 92
Developable surfaces 93
Pop up 98
Hyperbolic paraboloid 100
Bellows 103
D-CORE catapult 106
Unwrapping sine curve 110
Advanced activities 112
Folding along a curve 114
Flat folding condition 116
Layering of folds 118
Kawaski’s big-little-big angle theorem 120
Flat foldable vertex degree 122
Hull’s consecutive sectors 124
Half plane theorems 126
New origami 128
Rigidly foldable tessellations 130
Mother and child 136
Exhibitions and Citations 140
Acknowledgements 141
Funding Sources 142
9781470436742
736.982 / MOR
Y Origami? explorations in folding - Americn Mathematical Society 2017 - x,142p.
Contents
Foreword vi
Introduction viii
Origami-based design 1
Deployable solar array 2
Ballistic barrier 8
Oriceps 12
Monolithic pointer 16
Nanoinjector 18
Tessel jet pack backpack 22
Circle/circle table 26
Plywood hinge bowl 30
O-rectractor 32
C-arm shroud 34
Backpackable solar array 36
Collapsible camp stove 38
Felt stool 40
Lens lift 44
Ruffled lamp 46
Morphing surface 50
Whole beauty bag 52
Oruga shelter 54
Bellows 56
Biopsy tool 58
Kaleidocycle bowls 60
Kinetic sculpture 62
Morphing antenna 66
Folded bundt pan 68
Learning activities 70
Euler’s formula 72
Geometric patterns 74
Finding area 75
Finding volume 76
One straight cut design 78
Thick square twist 82
Oriceps 84
Nanoinjectors 86
Modularity 87
Angular measurements 92
Developable surfaces 93
Pop up 98
Hyperbolic paraboloid 100
Bellows 103
D-CORE catapult 106
Unwrapping sine curve 110
Advanced activities 112
Folding along a curve 114
Flat folding condition 116
Layering of folds 118
Kawaski’s big-little-big angle theorem 120
Flat foldable vertex degree 122
Hull’s consecutive sectors 124
Half plane theorems 126
New origami 128
Rigidly foldable tessellations 130
Mother and child 136
Exhibitions and Citations 140
Acknowledgements 141
Funding Sources 142
9781470436742
736.982 / MOR