146 Layouts of spatial motion structures
the building blocks to form large motion structures following (3
6
), (4
4
) and
(6
3
) tilings (Liu and Chen, 2009).
7.3.2 Case I
The building block composed of three Myard linkages with α 12 = π/3
expands to a shape that can be inscribed by a tile whose shape is an equilateral triangle, Figure 7.9(a). Hence, (3
6
) tiling can be used to obtain a
layout. A number of the same blocks can be assembled and they are connected through the continuous crossbars, Figure 7.9(b). The assembly is
mobile because all of the Myard linkages are identical and they move synchronously. The centres of the building blocks move upwards or downwards when the assembly is placed on a horizontal surface, that is, in
Figure 7.8 A schematic diagram for an umbrella-like deployable frame made
from seven Myard linkages. Only one of the Myard linkages is
highlighted.
(a)
(b)
Figure 7.9 The assembly of Myard linkages with α 12 = π /3. (a) An assembly of
three such linkages as a unit and (b) assembly with six units.
the building blocks to form large motion structures following (3
6
), (4
4
) and
(6
3
) tilings (Liu and Chen, 2009).
7.3.2 Case I
The building block composed of three Myard linkages with α 12 = π/3
expands to a shape that can be inscribed by a tile whose shape is an equilateral triangle, Figure 7.9(a). Hence, (3
6
) tiling can be used to obtain a
layout. A number of the same blocks can be assembled and they are connected through the continuous crossbars, Figure 7.9(b). The assembly is
mobile because all of the Myard linkages are identical and they move synchronously. The centres of the building blocks move upwards or downwards when the assembly is placed on a horizontal surface, that is, in
Figure 7.8 A schematic diagram for an umbrella-like deployable frame made
from seven Myard linkages. Only one of the Myard linkages is
highlighted.
(a)
(b)
Figure 7.9 The assembly of Myard linkages with α 12 = π /3. (a) An assembly of
three such linkages as a unit and (b) assembly with six units.