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Example commands using the poly_kscope program. This program
repeats a model symetrically, acting like a polyhedral kaleidoscope.
It will take a component polyhedron and make a compound with a
particular symmetry.
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Expanded
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Med
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Description :
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The basic operation is to expand a model kaleidoscopically,
according to some symmetry group. In this example a tetrahedron
is offset and rotated, and in this position is repeated to create
a model with octahedral rotational symmetry.
View this model with the command
off_trans -T 1,1,0 -R 10,0,20 tet | poly_kscope -s O | antiview -v 0.05
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Expanded
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Med
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Description :
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The basic operation is to expand a model kaleidoscopically,
according to some symmetry group. The components can be
coloured individually. In this example a tetrahedron
is offset and rotated, and in this position is repeated to create
a model with octahedral rotational symmetry. Each component has
its faces coloured with a diferent colour using the colour map
compound. Any colour map can be used, but this map produces
a reasonable spread of colours. If no element types (from v, e and f)
are specified all the elements will be coloured using the map. To
colour by index number use the remap map.
View this model with the command
off_trans -T 1,1,0 -R 10,0,20 tet | poly_kscope -m f,compound -s O | antiview -v 0.05
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Compound
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Med
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Description :
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When making a compound the component will generally have
symmetries that are also symmetries of the compound. This
could lead to extra coincident copies of the component, but
by default these coincident copies are removed (to keep them
use the -I option). The more symmetries that are shared
the fewer the copies of the component in the compound. In this
example a cube in natural position is repeated to have full
icosahedral symmetry. If the cube was positioned randomly the
compound would generally contain 120 copies of it, but
with this special alignment there are a lot
of common symmetries and the resulting compound contains only
five copies of the cube. Use the -Q option for some
information about the compound, including the number of
components.
View this model with the command
poly_kscope cube -m f,compound -s Ih -Q | antiview
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Compound List
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Med
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Description :
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When making a compound the component will generally have
symmetries that are also symmetries of the compound. It
could be difficult to align a component into a position
where symmetries are shared using rotations and
translations, as an alternative there is a facility to do
this directly by symmetry. The option -y list will list
all arrangements of the component and final symmetry
according to how the component can be aligned to share
a common symmetry group with the kaleidoscope. To make the
model rerun the command but replace 'list' with the number
and any optional realignment. Running this for the previous
cube example, produces a list with 20 items
poly_kscope cube -s Ih -y list
The last number is 19 and corresponds to the compound of
5 cubes, as in the previous example
poly_kscope cube -s Ih -y 19 | antiview
In the following example the cube will be aligned on a
C3v axis, and the optional realignment translates the
cube 2 units along the icosahedral 3-fold axis.
View this model with the command
poly_kscope cube -m f,compound -s Ih -y 8,:2 | antiview -v 0.05
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Compound List
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Med
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Description :
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The kaleidocope can also be taken as the symmetry of a model. In
this example an icosohedron is offset and rotated. It is read from
standard input in this example using -s -, but if the model
was in a file the argument would be the file name, e.g. -s file.off.
A triangular dipyramid is aligned on a C3 axis of the icosahedron,
and is translated 1.5 units along the axis.
View this model with the command
off_trans -T 1,1,0 -R 10,0,20 ico| poly_kscope -m f,compound -s - dip3 -y 3,:0:1.5 | antiview -v 0.03
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