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Jitterbug Dual Animations
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5 images
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Jitterbug Dual Animations
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A selection of animations showing jitterbug "duals". These have been
generated by polar reciprocation. The dual's shape changes through the
rhombic dodecahedron, regular pentagonal dodecahedron, and cube which
are duals to, respectively, the cuboctahedron, icosahedron and octahedron.
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scaled dual vertices
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Med
Lrg
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Description :
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The vertices reciprocal to the polyhedral jitterbug's face planes
are shown as balls. Their positions have been adaptively scaled to fit on
the screen in order to help show their relative positions.
view animation (1.9Mb)
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scaled dual combination
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Med
Lrg
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Description :
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A polyhedral jitterbug, in green, is shown with the vertices reciprocal to
its face planes as red balls. The dual vertex positions have been adaptively
scaled to fit on the screen.
view animation (818k)
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dual combination
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Med
Lrg
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Description :
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A polyhedral jitterbug, in green, is shown with the skeleton of its dual
(by polar reciprocation) as blue struts. The dual has not been scaled,
so when a face plane of the jitterbug passes through the centre point
the corresponding dual vertex is positioned at infinity.
view animation (755k)
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dual combination
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Med
Lrg
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Description :
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The skeleton of a polyhedral jitterbug, as red struts, is shown with
the faces of its dual (by polar reciprocation), in purple. The dual has
not been scaled, so when a face plane of the jitterbug passes through
the centre point the corresponding dual vertex is positioned at infinity.
view animation (915k)
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partial jitterbug dual
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Med
Lrg
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Description :
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The jitterbug itself can also be found within the dual. The relative vertex
positions of a ball jitterbug are the duals of the face planes corresponding
to the twelve faces that make the six squares of the jitterbug cuboctahedron.
This is shown as a partial polyhedral jitterbug, in green, beside its dual
vertices, as red balls. The dual vertex positions have
been adaptively scaled to maintain the size of a ball jitterbug.
view animation (672k)
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