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File:Sqrt2uiimap80.jpg [[Complex map]] of iterate number i of exponent to base $\sqrt{2}$ constructed at its upper fixed point 4: http://www.ams.org/journals/mcom/2010-79-271/S0025-5718-10-02342-2/home.html <br>(2,302 × 2,306 (1.84 MB)) - 08:52, 1 December 2018
File:Tet5loplot.jpg Graphical search for the real [[fixed point]]s of [[tetration]]: $\mathrm e\!=\!\exp(1)\!\approx\!2.71$ is base of the natural logarithm,(1,477 × 1,486 (283 KB)) - 08:53, 1 December 2018
File:TetsheldonmapT600.jpg [[Complex map]] of [[Tetration]] to the [[Sheldon base]] $b= 1.52598338517 + 0.0178411853321\, \mathrm i$. Constants $L_1$ and $L_2$ are [[fixed point]]s of logarithm to base $b$; they are determined (and evaluated) through function [[filog]]:(5,130 × 1,776 (1.02 MB)) - 08:54, 1 December 2018
File:Tetsheldonzoo.jpg [[Complex map]] of [[tetration to Sheldon base]], zoom-in from the central part of figure should be loaded in order to compile the code below(4,337 × 4,317 (1.73 MB)) - 08:54, 1 December 2018
File:Tet2LMap.png [[Complex map]] of [[Tetration to base 2]] with "subtracted" singulatiry at \(-2\): ...allows to extent the range of validity of approximation of [[Tetration to base 2]].(2,291 × 1,760 (269 KB)) - 19:55, 6 August 2020
File:Tet2uMap.jpg approximation of [[tetration to base 2]] for big values of imaginary part of the argument. //Files [[ado.cin]], [[conto.cin]] should be loaded in order to compile the code below.//<pre>(1,729 × 1,120 (526 KB)) - 07:21, 24 July 2020
File:Tet2LiMap18a.png [[Complex map]] of approximation [[Tet2Li]] of [[tetration to base 2]] // c=-log((c-d)/(c+d))/log(10.);(1,148 × 1,162 (975 KB)) - 17:42, 28 July 2020
File:Tet2LiMap18c.jpg [[Complex map]] of approximation [[Tet2Li]] of [[tetration to base 2]] // c=-log((c-d)/(c+d))/log(10.);(2,296 × 2,324 (919 KB)) - 17:43, 28 July 2020
File:Tet2M2a200.png [[Complex map]] of [[Tetration to base 2]]. // c=-log((c-d)/(c+d))/log(10.);(2,297 × 1,882 (308 KB)) - 19:59, 6 August 2020
File:TetKK200.png ...tic behavior of [[Tetration]] to real base \(b\), versus logarithm of this base, \( \beta=\ln(b)\). Values correspond to the upped half of the complex plane; so, \(\Im(L)\ge 0\). Curve for \(L^*\)(897 × 1,279 (29 KB)) - 12:45, 12 August 2020
