Dragon Curve & Lunar New Year 2024 [4K, 60fps]

The Dragon Curve, is a form of fractal [1] discovered by NASA scientists John Heighway, Bruce Banks, and William Harter. It is a self-similar curve that can be built recursively and is well-known for its intriguing mathematical features as well as its appearance in different elements of popular culture, notably Michael Crichton's novel "Jurassic Park" [2].
One Python friendly mathematical expression of the Dragon Curve is:
f(z) = ((1+i)*z) / 2
g(z) = 1 - (((1-i)*z) / 2)
where the first set of points, S0 = {0,1}
However, Math geeks are probably frowning at this moment, and the Davis and Knuth version [3] is for you guys :-P
Interesting features of a Dragon Curve:
1. It can be tiled with copies of itself to fill the plane without gaps or overlaps
2. The Dragon Curve has a fractal dimension of 2 since it fills a plane
3. Each zoomed-in part of the curve resembles the total.
4. The Dragon Curve is a fascinating mathematical object and a work of mathematical art
5. It is commonly used to teach principles about fractals, chaos theory, and computational geometry.
Happy Lunar New Year 2024!
References:
[1] Heighway Dragon, larryriddle.agnesscott.org/if...
[2] Dragon Curve (C/N) by TyrannosaurTJ, www.jurassic-pedia.com/dragon...
[3] Kamiya, Y. (2022). On dragon curves which have two corners just meeting. Theoretical Computer Science, 938, 65-80. doi.org/10.1016/j.tcs.2022.10...
Credits: The original Dragon Curve animation is from Wikipedia but is digitally enhanced to 4K, 60fps & slow-mo here.