Thanks for viewing the images un-resampled! Jim's FOTD -- May 19, 2016 (Rendered 5X larger in X and Y before anti-aliasing): http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519.jpg "Parent" fractal with: - LogMap changed from 99 to 0 - Rendered 5X larger before anti-aliasing: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519Z.jpg Out the parent's negative X-axis with: - MaxIter changed from 3600 to 7200, - LogMap changed from 99 to 0 - Rendered 4X larger before anti-aliasing: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519Y.jpg And one of the Islands in the image above rendered as a 1280x960 GIF with: - MaxIter changed from 3600 to 7200, - LogMap changed from 99 to 0 - Rendered with *no* anti-aliasing, in order to not average the individual pixels with the black "lake water" surrounding them. Note that for non-anti-aliased images this leads to artificially bright pixels, as follows: Often only one or two subpixels (in, say, a hypothetical 5x5 subpixel grid) will be non-black. However, if by chance one of those subpixels is the one sampled -- and used for the "full sized" pixel's color, it will effectively color all the rest of the 5x5 subpixels with that color instead of their actual color, black. Thus, the "full sized" final pixel will appear brighter in the final image than the average of 24 black subpixels with one bright subpixel would be. When I anti-alias this type of "sprinkled pixels" image, almost all of the pixels appear in subdued brightness due to the due to the lone subpixel's bright color being (correctly) averaged with the many surrounding black subpixels to provide the color for the entire final displayed pixel. To me, this subdued-color pixel is nearer to being "correct" in some way, but is not as pleasing to the eye as the bright sprinkled sand grains. So I didn't anti-alias this sandy sprinkle: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519X.gif . . A zoom into Jim's FOTD -- May 19, 2016 - Rendered 2X larger before anti-aliasing: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519A.jpg And the detail in the center of the large purple "hole" in the above image: - Rendered 2X larger before anti-aliasing: http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519B.jpg Spider or spiderweb? You decide... http://www.emarketingiseasy.com/TESTS/FOTD/2016/F160519C.gif - Hal Lane ######################## # hallane@earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces+hallane=earthlink.net@mailman.xmission.com] On Behalf Of Jim Muth Sent: Thursday, May 19, 2016 8:05 PM To: fractint <fractint@mailman.xmission.com> Subject: [Fractint] FOTX -- May 19, 2016 FOTD -- May 19, 2016 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image shows a little of what can be done with minibrots of the seventh order when they are calculated in a new way. The formula will reveal the new way, which I discovered several years ago while making up new random formulas, most of which drew beautiful blank screens. When fractals go above the quintic level, they quickly begin to all look the same, and by the time we reach the tenth order, the difference between orders is hard to notice. But look at what lurks in fractals of the seventh order, (and higher orders as well), when we do something new with them. Not only do we have a near perfect minibrot, but there is a very interesting extended pattern surrounding it, partly derived from the parent quadratic Mandelbrot set. This opens an entire new world of fractal exploration, at least for those who seek minibrots. It is also possible to have fractals of fractional orders without those annoying discontinuities, as well as fractals of negative orders. I have just recently begun exploring this stuff, and I'm sure I'll find more new discoveries, not only with today's formula, but with several new formulas I am working on, but have not yet worked the bugs out of. It's such a pleasant day here at FC that I will skip my regular comments about controversial things and enjoy the final rays of sunshine along with FL and the fractal cats. Today turned out quite pleasant here at Fractal Central, with partly cloudy skies, a temperature of 72F 22C, and sunshine that was brilliant between the clouds. The fractal cats took full advantage of the weather by sleeping through the afternoon, while FL puttered in her garden and I searched the internet for things of interest, which there is no shortage of. The next FOTD will be posted in the not too distant future. Until then, take care, and eventually righteousness will prevail, but how will we recognize it when it does? Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= WhoSaid_it_wasDull { ; time=0:04:20.78 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.763934523347755/+0.02813687742880176\ /7.566265e+009/1/-27.5000157382336603/1.05747547\ 304718692e-005 params=7/200000000000000.0/0/0 float=y maxiter=3600 inside=0 logmap=99 periodicity=6 colors=000KFhPGlUGoZHscIwgIzcFr`CjX9bU7VZ9SbBPfDNk\ FKoHIsJFwLDkR9_W6Oa3Cf0TjHimYypmprnhsn_uoSvoJxpByp\ BtoBonBjnBemB`lBWlBRkBMk9Id7EZ5AT36N13H87GEAGKEFQH\ FJDDDAB669038UBVNPYHb_BpaPqdbrgorjmlflgckb_iYXhTTg\ OQfJNVaRKsVQmYWh`accfZflUirPlwKnhXkUhhGteMLLLMIKNG\ JODJPBIQ8HR6GS3GS1PTHYTXfTldVkbWj`XiZYhlTNyP1hVJT`\ `DfqFhmGjjHkgKjdNjaPiZSiWViTXhQ_hNahLc`WdTeeLofEyi\ CukBrmAoo8lq7is6fk7dd7bX8`Q8ZXQOcgEjy47sg6pb6nY6lT\ 6mS6mS6mS7af8RtIVuSYva`wkcxufynbwhZvbVtWRsQNqKJpEG\ oKEqPDrVBs_Atd9vj7wo6xt5yBVfSLZgBRw1Jq6LkBNfFP`KRW\ OSVPTUPUUPVTQWSQWSQXRQYQRZQR_PR_OR`OSaNSbMScMScU_`\ `fZhnXouVnoSniQndOmZMmUKmOImJGjIHgHIdGJbFK_ELXDMUC\ NSCORDMRDLRDKRDIQDHQDGQDEQDDPDCPDAPD9PD8yWytYxoZwk\ _vf`ubbuYctUdsPerLgrGhqCip7jo3ko5ll6mj7mh8ne9ocAoa\ BpZCqXDqVTeegVphToiSojQokPolNomMonLooJnpInqGnrFnsD\ ntCntBnsCo_D_RD`ID`AD`FEd } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus