Assuming all fibrils are lying at the W/W interface, the adsorption energy of single Note that the high flexibility of the multi-arm PEG is critical to keep fibrils lying on the W/W interface and thus maximize their contact area with the W/W interface. With similar PEG fraction in the "comb-like" fibrils and "mesh-like" fibril clusters, the wetting angle, , is almost unchanged, so the adsorption energy of fibril cluster at the W/W interface is about ~15 folds higher than that of single fibrils. This model explains the exceptional high capability of fibril cluster to stabilize the W/W emulsions. Besides, compared to the "comb-like" fibrils, the "mesh-like" fibril clusters could entangle with each other, forming interconnected colloidal networks to enhance the stability of W/W emulsions.