("True") complex curves - Part 3: function examples

Complex valued functions w=f(z) represent 2D manifolds, ie surfaces, in 4D space defined by (x,y,u,v), where z=x+iy and w=u+iv. These surfaces can be described by 3D parametric curve families, which in turn can be rendered in 3D space, where they also generate a "curve surface".

See previous videos for the method, both for functions defined in cartesian, and in polar coordinates. In this video several examples for typical functions are shown (the 4D graphs of which are the topic of videos elsewhere on this playlist).

website:
https://www.wugi.be/qbComplex.html
desmos3D links grouped here:
https://wugi.be/qbinterac.html
https://wugi.be/qbinterac.html#Comple...
(or see below)

playlist:
   • wugi's Visualization of Complex Funct...  

channel:
   / @wugionyoutube  

Desmos3D links:
1. cosine
https://www.desmos.com/3d/mum71eiaxf
2. cosine sliding
https://www.desmos.com/3d/77irkqqs9h
3. sine
https://www.desmos.com/3d/qhfgnlfwlt
4. tangent
https://www.desmos.com/3d/yxkjxnfymo
5. tangent 3 periods
https://www.desmos.com/3d/msyqeqiby6
6. cotangent sliding
https://www.desmos.com/3d/gp3afzfvvr
7. exponential sliding
https://www.desmos.com/3d/ohotbalux5
8. parabola
https://www.desmos.com/3d/klwvybzlbd
9. parabola rounded
https://www.desmos.com/3d/oqhk1bgn2h
10. parabola polar
https://www.desmos.com/3d/sdvodbrmvu
11. square root & parab.
https://www.desmos.com/3d/gfcwyf3r1d
12. circ-hyp
https://www.desmos.com/3d/syfhwsiftb
13. circ-hyp polar
https://www.desmos.com/3d/o8diibmjjc old
https://www.desmos.com/3d/fhbbofsimh new
14. quad-hyp
https://www.desmos.com/3d/1l5ndk3ld1
15. quad-hyp polar
https://www.desmos.com/3d/rlbqtbkc67