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Spin waves (SWs) have been studied experimentally and by simulations in 1000 nm side equilateral triangular Permalloy dots in the Buckle state (B, with in-plane field along the triangle base) and the Y state (Y, with in-plane field perpendicular to the base). The excess of exchange energy at the triangles edges creates channels that allow effective spin wave propagation along the edges in the B state. These quasi one-dimensional SWs emitted by the vertex magnetic charges gradually transform from propagating to standing due to interference and (as pointed out by simulations) are weakly affected by small variations of the aspect ratio (from equilateral to isosceles dots) or by interdot dipolar interaction present in our dot arrays. SWs excited in the Y state have mainly a two-dimensional character. Propagation of the SWs along the edge states in triangular dots opens possibilities for creation of new and versatile spintronic devices.