You're working within Euclidean geometry. Space is discrete, not continuous, so there are no "squares" that have a distance of 1 unit.
Create a square on your computer screen. You'll see it's composed of a countable number of units (pixels).
You're working within Euclidean geometry. Space is discrete, not continuous, so there are no "squares" that have a distance of 1 unit.
Create a square on your computer screen. You'll see it's composed of a countable number of units (pixels).
If your geometric investigations have only been within Euclidean geometry, or only working within continuous space, then discrete space can be unintuitive or shocking.
But alas, all space that we encounter, mental and physical, is actually discrete.
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