138 Layouts of spatial motion structures
shape of the tile. If a building block, consisting of a single mobile element or
a mobile assembly of a number of interconnected elements, has a planar
schematic representation that can be inscribed by a triangular, square or
hexagonal tile, the corresponding tiling instantly gives a suitable layout provided that the patterns within a tile can be seamlessly connected to those in
neighbouring tiles. Figure 7.2 shows a number of possibilities. The remaining task is to ensure that the kinematic requirements can be met in a particular tiling.
In the following sections, the above approach is to be applied to motion
structures based on the Bennett, Myard and Bricard linkages.
(a)
(b)
(c)
(d)
Figure 7.2 (a)–(g) Repeated patterns surrounded by triangular and square tiles
in regular and uniform tilings. Some of them, e.g. (a)–(e) are in fact
also edge-to-edge uniform tilings by more than one type of regular
polygons
shape of the tile. If a building block, consisting of a single mobile element or
a mobile assembly of a number of interconnected elements, has a planar
schematic representation that can be inscribed by a triangular, square or
hexagonal tile, the corresponding tiling instantly gives a suitable layout provided that the patterns within a tile can be seamlessly connected to those in
neighbouring tiles. Figure 7.2 shows a number of possibilities. The remaining task is to ensure that the kinematic requirements can be met in a particular tiling.
In the following sections, the above approach is to be applied to motion
structures based on the Bennett, Myard and Bricard linkages.
(a)
(b)
(c)
(d)
Figure 7.2 (a)–(g) Repeated patterns surrounded by triangular and square tiles
in regular and uniform tilings. Some of them, e.g. (a)–(e) are in fact
also edge-to-edge uniform tilings by more than one type of regular
polygons