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We observe capillary-driven binding between thin, equilateral triangularprisms at a flat air-water interface. The edge length of the equilateraltriangle face is 120 $\mu m$, and the thickness of the prism is varied between2 and 20 $\mu m$. For thickness to length (T/L) ratios of 1/10 or less, pairsof triangles preferentially bind in either a tip-to-tip or tip-to-midpoint edgeconfigurations; for pairs of particles of thickness T/L = 1/5, the tip of onetriangle binds to any position along the other triangle's edge. The distinctbinding configurations for small T/L ratios result from physical bowing of theprisms, a property that arises during their fabrication. When bowed prisms areplaced at the air-water interface, two distinct polarity states arise: prismseither sit with their center of mass above or below the interface. Theinterface pins to the edge of the prism's concave face, resulting in aninterface profile that is similar to that of a capillary hexapole, but withimportant deviations close to the particle that enable directed binding. Wepresent corresponding theoretical and numerical analysis of the capillaryinteractions between these prisms and show how particle bowing and contact-linepinning yield a capillary hexapole-like interaction that results in the twosets of distinct, highly-directional binding events. Prisms of all T/L ratiosself-assemble into space-spanning open networks; the results suggest designparameters for the fabrication of building blocks of ordered open structuressuch as the Kagome lattice.

Capillary-driven binding of thin triangular prisms at fluid interfaces