Isometric projection is one of the simpler ways to create the appearance of three dimensions. Here, I'll show you; although, the limitations of ASCII pose additional challenges.

I recall the isometric perspective fondly for one major reason: it was in my video games. Civilization II relied on isometric, as did X-COM: UFO Defense and SimCity 2000 - just a few of many. It's not used quite as often anymore, since graphical rendering capabilities have increased to a point where other mechanisms for creating the appearance of three dimensions are feasible.
This three-quarters photograph of the TD Canada Trust Tower, part of Brookfield Place in downtown Toronto, is as close to isometric as I can reasonbly get to. For complete accuracy, I'd need to have a flying camera - isometric games generally went with the bird's-eye perspective.

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