Figure 1

(a) Square, (b) triangular and (c) hexagonal uniform tilings. In all columns, the tilings (polygons with red edges) surrounding each vertex and the unit cells (polygons with orange dashed edges) of the structures are shown. Left column shows the preforms of the high air-filling structures, center column shows the high air-filling structures after pressurizing the thin capillaries during the fiber draw and right column shows the Laves tilings.