Here we have something that is difficult to truly name...
Except for Fig. 3, which is similar to the 4VP image on the previous page, what are these? They are NOT true four vanishing point images, since they deal with a center vanishing point and two for the curved lines- yet those curved lines are normally associated with perspective beyond three vanishing points.
It gets even trickier once you find out what FIVE vanishing point images are like...
Perhaps the best way to describe them is, if the realms of 3VP and 4VP are continents, then those other images here are large islands between the two- not quite 4VP, yet not 3VP.
Normal 4VP has two vanishing points for depth, while two other vanishing points connect the curved lines. Thus, you end up with a sort of "warped" Two Vanishing Point image, as if you are looking at its reflection in a mirror-coated tube.
Figs. 1, 2, and 4, however, do NOT have those two vanishing points for depth- they just have the one. What you end up with is simply a Single Vanishing Point image reflected in that mirror-coated tube. As with a normal 4VP image they to can have the curved lines drawn vertically (Fig. 1), or horizontally (Fig. 2 and Fig.4).
The checkered floor picture is the same as any 1VP image, except the horizontal lines are now curved. The same is true with Fig. 2.
Fig. 1 has its VERTICAL lines drawn curved.
So in effect, for those not-quite-3VP-not-quite-4VP images, all you have to remember is that you are drawing 1VP pictures, except the vertical or horizontal lines (depending on which way you want it) are to follow the curved lines.
The results are both striking and unusual, and can certainly give you quite a few interesting ways of drawing something.
They can also allow for a full "180 degree" view of something (that is, everything in front of you) in one direction or the other.