Now when does z^z^z^... converge if z ∈ ℂ? ;)
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Continuing my horrible empirical approach to this problem: it looks... complicatedpic.twitter.com/omn0BHJ4Zl
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that's a neat fractal!
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I've gotten different python graphs but yours is probably more accurate. Need to check it later sometime and compare with you! How are you determining convergence and divergence? And your doing a linspace thing to get points?
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Replying to @Derektionary @AndrewM_Webb and
WAIT A MINUTE, THERE'S A NUMPY.ISFINITE??? WTF?
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Replying to @Derektionary @AndrewM_Webb and
Wait nvm I tweeted too soon. I thought it could solve the recursion. But it just checks if it's finite lmao gotcha
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Replying to @Derektionary @AndrewM_Webb and
Although being finite doesn't mean it converges...could be periodic. 2-periodic happens in ℝ even! x^y = z and x^z = y.
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Isn’t boundedness what makes he fractal tho
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Ye. But convergence could be another fractal too
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:0
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I wish I had my python code on me, I had a 3D picture. But alas, I am in bed. I'll try to find it tomorrow!
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nice.. sounds cool.. I might write something tomorrow on it
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End of conversation
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