Simple Pleat Fold: Example

Dan Ori

Simple Pleat Fold (1)

Dan Ori
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MarkOff[];
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EosSession["Simple Pleat Fold"];
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NewOrigami[10];
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NewPoints[{"E"{0,7},"F"{8,2.5}}]
Simple Pleat Fold/Origami: Step 1
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FO[-π]["EF"]
Simple Pleat Fold/Origami: Step 2
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FO[-π]["BD"]
Simple Pleat Fold/Origami: Step 3
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ShowLayers[Gap0.5,HingeTrue]
Simple Pleat Fold/Origami: Step 3
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UnfoldAll[ShowFaceIdAll];
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EndSession[];

Simple Pleat Fold (2)

This is one - line pleat fold using logical formulas .
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EosSession["Simple Pleat Fold"];
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NewOrigami[10];
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NewPoints[{"E"{3,10}}]
Simple Pleat Fold/Origami: Step 1
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HO
∃
m,l∈Lines,y∈Reals,f∈Points
(LineEqual[l,Segment[
m
"E"
,
m
f
]]∧LineEqual[m,"DB"]∧Point[10,y]==f∧ParallelQ[l,m]),Handle->{"C","C"},MarkAt->"F"
Solve
:Equations may not give solutions for all "solve" variables.
Simple Pleat Fold/Origami: Step 3
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
,
,

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ShowLayers[Gap0.5,HingeTrue]
Simple Pleat Fold/Origami: Step 3
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UnfoldAll[ShowFaceIdAll];
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EndSession[];

Simple Pleat Fold (3)

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EosSession["Simple Pleat Fold 2"];
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NewOrigami[10];
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NewPoint[{"E"{0,6}}]
Simple Pleat Fold 2/Origami: Step 1
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Oru["BD",-π]​​
Simple Pleat Fold 2/Origami: Step 2

Load Eos