Tetration of complex bases to complex towers
#8
(11/04/2009, 05:29 AM)mike3 Wrote: Hmm. What about \( \mathrm{tet}_b(x) \) for this base? And where is this on the "tetration fractal" (this thing: http://www.tetration.org/Fractals/Atlas/index.html)?

Edit: Just saw the answer to the last question, there was a picture with the grid over it. Looks like it'd be in one of the large, long period 4 lobes coming off to the right.

I've had the hardest time making those pictures. The closest I could come was using xaos and under "Fractal", "User formula" I entered "c^z". I made some pictures for you. In the exact center of each is 3+i. Sorry I can't find the grid button.


Attached Files Thumbnail(s)
           
Reply


Messages In This Thread
RE: Tetration of complex bases to complex towers - by andydude - 11/06/2009, 05:13 AM

Possibly Related Threads…
Thread Author Replies Views Last Post
  A very special set of tetration bases marcokrt 3 5,973 03/14/2026, 01:43 PM
Last Post: marcokrt
  Tetration with complex bases TetrationSheep 0 752 11/13/2025, 10:33 AM
Last Post: TetrationSheep
  Real tetration as a limit of complex tetration Daniel 5 9,512 06/20/2023, 07:52 PM
Last Post: tommy1729
  Real and complex tetration Daniel 13 17,136 04/04/2023, 10:25 AM
Last Post: JmsNxn
  Evaluating Arithmetic Functions In The Complex Plane Caleb 6 8,623 02/20/2023, 12:16 AM
Last Post: tommy1729
  Range of complex tetration as real Daniel 2 4,954 10/22/2022, 08:08 PM
Last Post: Shanghai46
  From complex to real tetration Daniel 3 6,300 10/21/2022, 07:55 PM
Last Post: Daniel
  What are the types of complex iteration and tetration? Daniel 5 8,148 08/17/2022, 02:40 AM
Last Post: JmsNxn
  Complex to real tetration Daniel 1 3,796 08/14/2022, 04:18 AM
Last Post: JmsNxn
Question Convergent Complex Tetration Bases With the Most and Least Imaginary Parts Catullus 0 2,817 07/10/2022, 06:22 AM
Last Post: Catullus



Users browsing this thread: 1 Guest(s)