… involved many millennia ago (most likely not long after the Flood) in the Nazca desert and many other territories marked by strange geoglyphs. Moreover, we are no longer talking about simple trapezoidal marks, but those that go in an even strip, and then expand like a fan in both directions. How could such lines have formed? Mathematicians have something to say about this.
If the opening angle of the scanner beam of ancient aliens was constant (and this is the most likely option), then expanding lines can form in two cases:
1. Lifting the aircraft during scanning
The vehicle moves parallel to the ground and then lifts without stopping. With a constant beam angle, its "spot" on the ground will expand. Or vice versa: the device, while descending, turns on the scanner, and then stabilizes its height above the ground and continues its flight-scanning.
Arguments for: Most of these lines end (begin) at the edge of the plateau - where the hills already begin. Naturally, the aircraft, when approaching them (or when descending, “entering” the scan) had to gain altitude.
Arguments “against”: Lines expand geometrically evenly, with a kink. At the same time, the aircraft must also sharply change its trajectory (the angle of inclination of the glide path), because if it changed smoothly, the lines on the ground would also have a smooth bending of the edges. However, "modern" UFOs, as we know, are able to move in this way and perform similar maneuvers.
Promotional video:
2. Change of the radiation vector - rotation of the "scanner" emitter itself from the position "vertically down" to "forward inclined"
There are different options: the vector changes while moving or after stopping (hovering).
However, if the beam was tilted while moving, a smoothly expanding (curved) line would again turn out.
In turn, the assumption of hovering (motionless scanning) makes it possible to explain all the other (not having an initial flat "track") trapezoidal lines: the alien apparatus flew up to a point with the scanner turned off, hovered over it, and then turning on its scanner, scanned with a beam in the vertical plane.
We derive the following mathematical formula for scanning (see photo):
It allows you to calculate the hovering height (h) of the aircraft based on:
- the width of the line at the point of the beginning of its expansion ("break") - b1
- the width of the line at its widest part (at the end of the extension) - b2
- the distance between these two readings - L
The nature of the footprints in the Nazca desert also suggests that the aliens first performed a preliminary scan, and only then the main one.