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Small Stellated Dodecahedron thumbnails
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Description : A twisted small stellated dodecahedron (viewed close to a three-fold axis). One of the features of the twisted polyhedra is that each strut is paired with a parallel line on the other side of the centre through which lots of struts (possibly extended) pass. This feature is quite striking in this view. Three parallel struts are seen end-on, each paired with a line of crossing. Of the other struts, 24 pass through just one line, and three pass through two. Here is another example showing a crossing line in a twisted cube

The property is taken good advantage of in this 30 Notched Sticks puzzle. The configuration of the pale sticks is a mirror image of that of the hexagonal sticks, with the two being related by a central inversion.

Example puzzles

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tens_30d3.jpg  34KB JPEG image, 534 x 402 pixels
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