The correct answer to this open question is the following.
The three different types of interchanges would be the Diamond Interchange, the Trumpet interchange, and the Cloverleaf interchange.
We are talking about the intersection of roads and highways.
We find a Diamond Interchange when two highways cross with each other. Usually, there is a bridge that crosses one over the other. There are exits so you can exit one highway and ta the other. If you could see the interchange from the top, it has the figure of a diamond.
The Trumpet interchange has three legs and a loom ramp to take another road. Viewing it from the top, it has the figure of a trumpet. Finally, the Cloverleaf interchange. It has eight ramps and four legs. This combination allows separation of traffic and the loops connect one major highway to the other. Viewing it from the top, it has the figure of a cloverleaf.