Systems and methods include receiving data from a network that includes a plurality of network elements that operate at a plurality levels that include any of network layers and encapsulations; displaying any of the plurality of network elements as a three-dimensional icon on a network map; illustrating a plinth in the three-dimensional icon for each of the plurality of levels for each network element of the any of the plurality of network elements, wherein a plinth at each level indicates a corresponding network element participates in that level; and illustrating horizontal connectivity as links between any of the network elements via associated plinths.