30 Photos - Jul 9, 2012
Photo: Six of the ten cells form a ring invariant under a screw motion of S3.Photo: The same group of six from another perspectivePhoto: Here the 3 4-fold axes and 1 6-fold axis are color-coded too.Photo: All 10 4-fold axes drawn at once.Photo: DittoPhoto: Here the 10 6-fold axes are shown (polar to the 4-fold axes)Photo: DittoPhoto: DittoPhoto: Ditto, with a very big field of view.Photo: This and the following four show the 10 four-fold axes, and only 5 of the 10 cells.Photo: These five cells are glued together along triangles. The cells have been schrunk, but the 10 axes can be used to follow along to see which pairs of triangles are glued together.Photo: Trying to find a view in which all parts are easy to see and roughly the same size is not easy ...Photo: In this case, if the viewpoint is too close to any simple symmetry, then some lines cover other lines, ...Photo: ... so it's a bit like searching for the least symmetric point of view. A good exercise!Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: Photo: