Mandelbrot Safari

[Pauldelbrot]

There is just an overwhelming amount of incredibly beautiful pics.

Thanks!

Thanks of all the eye candy and keep up the great work!

How's this? (Next one might be a while. Sorry.)

[makc]

personally I find high symmetry boring. just look at it: a bunch of circles? minibrots are cool, julia-like structures, or spirals, but circles... nah. but the coloring so far makes up for it. it was really good idea, that wave thing, I don't think I ever saw anything like that before (there might have been something, but I never saw it... maybe share your inspiration or maybe discovery story?)

[plynch27]

https://mega.co.nz/#!zItihIjb!AC2dwmoNWS_eb6vNrc6UwTBb1hdjnSzo4jYyCPrM4T0

[Holgram]

I found it just fantastic, such complex and intricate structures repeated so many times(have't really seen such symmetry with amazing structures like this).
If I have any complaints its that you are setting the bar too high for the rest of us 
I do like new structures myself as well but also love this highly symmetric stuff too(gives me a sense magnitude in the complexity involved).

[Pauldelbrot]

I found it just fantastic, such complex and intricate structures repeated so many times(have't really seen such symmetry with amazing structures like this).
If I have any complaints its that you are setting the bar too high for the rest of us 
I do like new structures myself as well but also love this highly symmetric stuff too(gives me a sense magnitude in the complexity involved).

I feel the same way. These latest images are extremely intricate, with layer after layer of varied shapes accreted around the center.

[Pauldelbrot]

[plynch27]

Curious: How close are we now, current mag v. final mag - wise?

[Pauldelbrot]

Curious: How close are we now, current mag v. final mag - wise?

This one is about 10¹⁴ shallower than the final minibrot:

[Pauldelbrot]

[Pauldelbrot]

[Dinkydau]

If you'd like to leave me a text message, my 11-digit phone number can be found in π starting at digit 224,801,520,878

((π10^{45,111,908,392}) mod 10)πi + 1 ≈ 0

Cool, a puzzle. I thought about this a bit. Do you mean to say that from the 45,111,908,392th digit of pi on follows an approximation of e?

[plynch27]

lol

Yes. I found an 11-digit match of the constant e at position 45,111,908,403. There's actually a second 11-digit occurrence at position 245,992,846,176. I also found 23 10-digit matches in the first 250 billion digits, but no matches of 12-digits or longer. Every time I run my scans, I keep hoping to find some anomalous behavior -- e.g. an odd match that's 23 digits long with no matches of lesser length -- but not much ever happens.

I have found other anomalies similar in behavior to the Feynman Point in other scans, but those simply looked for strings of the same digit repeating whatever number of times.

To disambiguate, in these contexts, "1" is typically referred to as being the first digit of π. I find this simplifying because it causes any digit's ordinal to simply be the opposite of its base-10 logarithm.

[Pauldelbrot]

[Pauldelbrot]

[Kalles Fraktaler]

Fascinating!
Not only the beautiful images, but also that this thread has been going on for more than a year.
Patience is crucial for real fractal artists!