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Cube - Default
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Med
Lrg
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Description :
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The default weave for a cube. In this weave each circuit is crossed in
two directions. For weaves that produce duplicate circuits these circuits
can be merged with e.g. off_util -M a.
View this model with the command
poly_weave cube | off_util -M a | off_color -f U -e F -v F | antiview -x f -v 0.05 -e 0.05
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Cube 0,1,0FEV
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Med
Lrg
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Description :
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Display the base cube, showing the subdivision of its faces into
the triangles used for the steps of the weave pattern.
The pattern given here is the default. The coordinates 0,1,0,
corresponding to barycentric coordinates relative to the V, E, F vertices,
indicate that the points of the circuit are attached to the E vertex
of the triangles.
View this model with the command
poly_weave -a -p 0,1,0FEV cube | off_color -U u -f invisible | antiview -v 0.04 -e 0.04 -E cyan
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Cube 1,0,1FEV
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Med
Lrg
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Description :
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Display the base cube.
The pattern is the same as the default. The coordinates 1,0,1,
corresponding to barycentric coordinates relative to the V, E, F vertices,
indicate that the points of the circuit are attached half way between
the V and F vertices.
View this model with the command
poly_weave -a -p 1,0,1FEV cube | off_color -U u -f invisible | antiview -v 0.04 -e 0.04 -E cyan
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Cube 1,1,1V
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Med
Lrg
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Description :
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Display the base cube.
The pattern V means that the circuits circle the vertices.
The coordinates 1,1,1 attach points at the centre of the triangles.
View this model with the command
poly_weave -a -p 1,1,1V cube | off_color -U u -f invisible | antiview -v 0.04 -e 0.04 -E cyan
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Cube 1,1,1F
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Med
Lrg
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Description :
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Display the base cube.
The pattern F means that the circuits circle the face centres.
The coordinates 1,1,1 attach points at the centre of the triangles.
View this model with the command
poly_weave -a -p 1,1,1F cube | off_color -U u -f invisible | antiview -v 0.04 -e 0.04 -E cyan
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Cube 1,1,1FFE
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Med
Lrg
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Description :
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Display the base cube.
The pattern FFE makes a weave of squares when applied to the cube.
The coordinates 1,1,1 attach points at the centre of the triangles.
View this model with the command
poly_weave -a -p 1,1,1FFE cube | off_color -U u -f invisible | antiview -v 0.04 -e 0.04 -E cyan
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Geodesic Sphere
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Med
Lrg
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Description :
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Default weave applied to a geodesic sphere.
View this model with the command
poly_weave geo_2_1 | off_util -M a | off_color -f U -e F -v F | antiview -v 0.02 -e 0.02 -x f
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Geodesic Sphere
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Med
Lrg
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Description :
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Default pattern, with points at 1,1,1 (triangle centres) doesn't
weave so well.
View this model with the command
poly_weave -p 1,1,1FEV geo_2_1 | off_util -M a | off_color -f U -e F -v F | antiview -v 0.02 -e 0.02 -x f
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Geodesic Sphere
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Med
Lrg
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Description :
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Default pattern, with points at 1,1,1 (triangle centres). Add six
intermediate points. These points cause the segment to curve around
the sphere, with the circuits intersecting.
View this model with the command
poly_weave -p 1,1,1::::::FEV geo_2_1 | off_util -M a | off_color -f U -e F -v F | antiview -v 0.02 -e 0.02 -x f
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Geodesic Sphere
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Med
Lrg
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Description :
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Default pattern, with points at 1,1,1 (triangle centres). Move the six
intermediate points up or down to make the circuits weave.
View this model with the command
poly_weave -p 1,1,1:0:0.05:0.05:-0.01:-0.07:-0.09:-0FEV geo_2_1 | off_util -M a | off_color -f U -e F -v F | antiview -v 0.02 -e 0.02 -x f
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Cube S
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Med
Lrg
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Description :
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The intermediate points can be moved sideways as well as up and down. In
this weave of a cube the points follow a sideways path like an S.
View this model with the command
poly_weave -p C1,1,1:0.02,0.08:-0.06,0.08:0.02,0.08:0.02,-0.08:0.04,-0.12:0.02,-0.08:FEV cube | off_color -f U -e F -v F | antiview -v 0.025 -e 0.025 -x f
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Torus - Segments
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Med
Lrg
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Description :
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A woven torus is made with line segments, these circuits don't weave.
View this model with the command
unitile2d -s t -w 8 -l 8 | poly_weave -p FEV | off_util -M a | off_color -f U -e F -v F | antiview -x f -v 0.1 -e 0.1
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Torus - Curves
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Med
Lrg
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Description :
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Extra points are added to the woven torus to illustrate how the circuits
lie on an approximated surface; they come close to intersecting where they
cross.
View this model with the command
unitile2d -s t -w 8 -l 8 | poly_weave -p 0,1,0:::::::FEV | off_util -M a | off_color -f U -e F -v F | antiview -x f -v 0.1 -e 0.1
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Torus - Woven
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Med
Lrg
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Description :
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By allowing the curved path to rise and fall the circuits weave in and out
View this model with the command
unitile2d -s t -w 8 -l 8 | poly_weave -p 0,1,0:0.0:-0.1:-0.3:-0.4:-0.3:-0.1:0FEV | off_util -M a | off_color -f U -e F -v F | antiview -x f -v 0.1 -e 0.1
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