Influenza A virus subtype H5N1 Euler spiral is a bend whose curved cast changes linearly amongst its bend length. Influenza A virus subtype H5N1 Euler spiral tin hence endure used to exercise a map projection past times projecting a curved basis onto a apartment spiral. The interesting betoken for cartographers is that the to a greater extent than spirals used inward a Euler spiral map projection the less distortion in that place is.
Now for the math. By cutting a sphere along a spiral amongst width i / northward as well as flattening out the resulting cast nosotros exercise a Euler spiral when northward tends to the infinity. In other words nosotros tin exercise a map projection whose distortion tends to nil every bit northward tends to the infinity.
If this sounds a piffling confusing as well as then it mightiness assistance to play amongst an interactive Euler spiral map. This interactive Euler Spiral Map allows you lot to accommodate the position out of spirals used inward the projection past times changing the thickness of the spirals. By reducing the thickness of the spirals you lot tin growth the position out of spirals used inward the map projection. The to a greater extent than spirals you lot exercise as well as then the less distortion inward the projection.
Unfortunately for cartographers a Euler spiral map projection is non really useful for navigating with. If you lot are withal confused as well as then this first-class Numberphile video explains the projection far to a greater extent than clearer than I can:
