Northernmost Point    

Robert P. Munafo, 2023 Jun 3.

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The point in the Mandelbrot Set with the greatest imaginary coordinate is near -0.207 107 867 093 967 + 1.122 757 063 632 597 i.

-0.20710786709396772 + 1.12275706363259745 i @ 1.776e-14

_N `\-` ', ^\ , .'c_.---, ,` ` ^:-` --' .). .,/ '-_ ]` 'c .: '\ .__` .-' `-` -^`"-^~`^'-. _ , , \' '`^'` ' ` ` -0.20710786709396772 + 1.12275706363259745 i @ 1.776e-14

Figure 1. "N" marks "northernmost" point in the Mandelbrot Set. These filaments are fairly typical of the R2F(1/3B*) area, see also R2.1/3a.

On 5th October 2014, "Sheldon L" posted an answer to this question on Maths StackExchange, with these coordinates:

-0.207107867093967732893764544285894983866865721506089742782655437797926445872029873945686503449815177663235 + 1.12275706363259748461604158116265882079904682664638092967742378016679413783606239593843344659123249431573i

See also easternmost point, westernmost point.

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revisions: 19990202 oldest on record; 20120224 add image; 20230603 add more accurate coordinates from "Sheldon L"

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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

Mu-ency main page — index — recent changes — DEMZ

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