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@@ -12,7 +12,7 @@ This is a fairly funky image, so let's see what the various parts of it mean...
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We see the three fixed points at (0,0), (0,1) and (1,1). The various regions and boundaries indicate what property the original curve will have, if the fourth point is in/on that region or boundary. Specifically, if the fourth point is...
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1. ...anywhere inside the red zone, but not on its boundaries, the curve will either be self-intersecting (yielding a loop). We won't know *where* it self-intersects (in terms of *t* values), but we are guaranteed that it does.
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1. ...anywhere inside the red zone, but not on its boundaries, the curve will be self-intersecting (yielding a loop). We won't know *where* it self-intersects (in terms of *t* values), but we are guaranteed that it does.
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2. ...on the left (red) edge of the red zone, the curve will have a cusp. We again don't know _where_, but we know there is one. This edge is described by the function:
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