Binets Formula Spiral
Spiral convolution of Binet curve
A swirling graphic is produced when the curve of Binet's Formula is rotated about the axis as a function of the index value along the axis.
Per each sinusoidal π cycle, a multiplier of π radians on the angle of rotation produces a beautiful alignment of two spirals in 3D.
Orthographic 2D projections
The view illustrated in Fig. 2 is straight down into the page from the negative X axis. The image was create in POVRay with an orthogonalized view (no perspective). The X-crossings on the vertical axis through the spiral center (origin) cross at Fibonacci numbers.
Four symmetries mirrored in the Y, anti-mirrored in the X