SwivelFold: examples

Collection of examples of swivel folds. Swivel fold is called Hikiyose Ori (meaning pull left / pull right fold) in Japanese.

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Eos3.7.4 (December 16,2023) running under Mathematica 13.3.0 for Mac OS X ARM (64-bit) (June 3, 2023) on Sun 17 Dec 2023 15:11:08.
This version is effective until June 30,2024.

EosNotations
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Extra
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SwivelFold[“R”]

Example 1

Preparation

EosSession["Swivel Fold Right"];
In[]:=
MarkOff[];
In[]:=
NewOrigami[15];
In[]:=
NewPoint[{"E"{0,8},"F"{0,12}}]
Swivel Fold/Origami: Step 1
Out[]=
In[]:=
HO["AC"]!
Swivel Fold/Origami: Step 3
Out[]=
In[]:=
HO["AC","E",Mark{{"AB","G"}}]!
Swivel Fold/Origami: Step 5
Out[]=
In[]:=
HO["AC","F",Mark{{"AB","H"}}]
Swivel Fold/Origami: Step 6
Out[]=
In[]:=
ShowOrigami[ShowFaceId->All]
Swivel Fold/Origami: Step 6
Out[]=
In[]:=
ValleyFold[{5,7},"GE"]
Swivel Fold/Origami: Step 7
Out[]=
In[]:=
ShowLayeredFace[]
Swivel Fold/Origami: Step 7
Out[]=
1,{5,7},
,2,{9,13},
,3,{8,12},


SwivelFold[“R”]

In[]:=
SwivelFold["R"][{"FH","EG"},{"A",5}]
Swivel Fold/Origami: Step 15
Out[]=

Example 2

Preparation

In[]:=
NewOrigami[15];
In[]:=
NewPoint[{"E"{0,8},"F"{0,12}}]
Swivel Fold/Origami: Step 1
Out[]=
In[]:=
HO["AC"]!
Swivel Fold/Origami: Step 3
Out[]=
In[]:=
HO["AC","E",Mark{{"AB","G"}}]!
Swivel Fold/Origami: Step 5
Out[]=

SwivelFold[“R”]

SwivelFold[“L”]

Example 3

Preparation

SwivelFold[“L”]

Example 4

SwivelFold[“L”]