Boundaries and edges seem like the same thing. A boundary, in a simple definition, is a border. The same definition can be used for edges. However, if you look them in a broader context, they can also have very different meanings. A boundary usually is a soft, moveable border. Every state has a boundary in which it governs, but if a state was to lose a portion to or gain a portion of another neighboring state, the boundary would correct itself to the changes. The same could be said for countries. Continents, on the other hand, have distinct edges. Edges are harsh, sharp divisions between two objects. A cliff is another example of this. The edge is the boundary between the altitude one is at the rim to the altitude below. In keeping with the lecture and discussion (at least my discussion), I will bring in examples dealing with nature. An edge would be the certain height on a mountain where trees can no longer grow due to the altitude and temperature (called the treeline). A boundary would the border between a fire ravaged part of a forest and the part that remained unscorched from forest fire. Through the blowing of the wind and the regeneration of the earth, the plants will regrow in that area. However, no matter how much wind, no trees will grow past the treeline.
Edges have a harder time making connections with the other side. If we look at a road as an edge, there is hardly any corridor or pathway that could connect both sides of the road if it is maintained and repaved. Boundaries don’t have such a harsh disconnection between it and the next community.