Figure R4:


Press the Four Reflections menu item to construct tiles using the procedure outlined in figure R4. Assume that the transparent portal is at the bottom left corner of the Silicon Mirror window and the Reflecting Glass and Single Tile View menu items are selected. If we consider the portal to be reflection 1(even though it is actually not reflected - consider it the 'NULL' reflection case), then we see that four reflections of the portal meet at Point 'X'. Note that when tiles are constructed using four reflections, the ratio of tile width to tile height can vary. When tiles are constructed using other numbers of reflections, the ratio of tile width to tile height is generally fixed.


Nerd alert: In four reflections mode, the Silicon Mirror creates tiles that are members of the ‘pmm’ crystallographic wallpaper group.