Polymorf - Knowhere - Hyperboloid cylinders

Example 3: [two-way rectangle (REC) outer grid staggered over small square (SS) grid]


click image to enlarge
a) barrel vault	b) cylinder	c) unit cell
RT (purple), ST (green)		M = 17 J = 8
Fig. 282 - Arched spaceframes - 3 (demonstration models)		17 < 3 ( 8 ) - 6, needs + 1 M

Example 4: [two-way rectangle (REC) outer grid over two-way small square (SS) grid]


click image to enlarge
a) barrel vault	b) cylinder	c) unit cell
ST (blue), RT (purple), IT (red)		M = 17 J = 8
Fig. 283 - Arched spaceframes - 4 (demonstration models)		17 < 3 ( 8 ) - 6, needs + 1 M

Hyperboloid cylinders

Thus far we have been concerned with how to stabilize spaceframes. However, intriguing

structures can also be created by intentionally destabilizing lattices. For example, the

rhombohedral unit cell of the Tri-1 lattice can be modified slightly by removing one of its

struts as shown on the next page (Fig. 285). The spaceframe built from it can be flexed

into the model of a curved structure called a hyperboloid cylinder.

The contour of this model depends on the way that it is flexed. Flexing it so that the grid

with the missing struts faces inwards results in the narrow diameter hyperboloid above.

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Page 151 - Building stability - Hyperboloid cylinders