∏-conjugated segments -chromophores -constitute the electronically active units of polymer materials used in organic electronics. To elucidate the effect of bending of these linear moieties on elementary electronic properties such as luminescence colour and radiative rate we introduce a series of molecular polygons. The π-system in these molecules becomes so distorted in bichromophores (digons) that these absorb and emit light of arbitrary polarisation: any part of the chain absorbs and emits radiation with equal probability. Bending leads to a cancellation of transition dipole moment (TDM), increasing excited-state lifetime. Simultaneously, fluorescence shifts to the red as radiative transitions require mixing of the excited state with vibrational modes.However, strain can become so large that excited-state localisation on shorter units of the chain occurs, compensating TDM cancellation. Since these effects counteract, underlying correlations between shape and photophysics can only be resolved in single molecules.Microscopic molecular geometry can be crucial in determining macroscopic performance of materials in devices such as organic light-emitting diodes (OLEDs). Recently, for example, spontaneous ordering of the molecular emitters in the plane of OLEDs was identified to counteract deleterious optical waveguiding of the emitted light, [1] so that OLED efficiency is now primarily limited by molecular orientation rather than elementary charge carrier recombination kinetics. A powerful but underutilized technique to uncover information on such microscopic structure is single-molecule fluorescence spectroscopy. This approach has revealed information on spontaneous microscopic ordering of π-conjugated macromolecules such as conjugated polymers, [2] and uncovered some elementary interaction pathways between injected charges and excited states. [2g] But a central question has remained hard to address: what is the role of shape -bending and twisting -of the underlying πconjugated chromophore as it interacts with its environment in space? [2h] A material deposited by thermal evaporation, doctor blading or spin coating inevitably adopts a non-equilibrium conformation, [3] which will