FOTD -- August 25, 2006 (Rating 7) Fractal visionaries and enthusiasts: I checked the electron spin web page earlier today and found a reasonable explanation of what is known about the topic, which apparently is not too much. One thing for certain is that electron spin is far different than the spin of a toy top or the earth on its axis. All we really know is that electrons, what- ever they are, are involved in some kind of abstract action, which we have arbitrarily named spin. I saw mentioned somewhere that this mysterious spin might in- volve higher dimensions. I wonder about this myself. In a higher dimension as near as the fourth, there is an entirely new kind of motion known as double rotation. An object subject to double rotation must undergo any number of 360-degree turns before it returns to its starting position. The points of an object under double rotation generally trace the surface of a four-dimensional donut. But if both rotations are equal, all points except the point at the center trace circles. In dimen- sions higher than the fourth, even stranger motions are possible. In the last book I read, space, down at the level of superstrings and supermembranes, is supposed to have 11 or so dimensions, allowing for a mind-boggling variety of motions. Maybe this has something to do with electron spin. But deep inside, I feel we are missing something of immense profundity, which is staring us in the face. We are like deep sea fish who don't recognize the existence of water. The quantum world is just too strange, too alien to be a part of the intuitive reality we observe and assume exists around us. The realities conflict. I feel that something is not as real as we take it to be. What all this means is open to debate. Today's fractal however is undebatable. It is an evaporated scene in the parent fractal that results when various negative portions of Z^(-1.7) and Z^(-7.1) are combined and (1/C) is added. Being evaporated, the fractal consists entirely of trapped 'inside' points made visible by the 'bof61' inside fill. The magnitude of the scene is beyond the point where breakdown begins, making the mathtolerance entry in the parameter file necessary to assure the image is rendered at the correct magnitude. I named the image "Sub-atomic Mystery". The magnitude of 3x10^12 is great enough to enlarge atoms to everyday size. The rating of a 7 might be a bit inflated, but the 9-1/4 minutes spent running the parameter file will not be wasted. The easiest way to view the scene is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it has been posted for convenience. The weather was less than perfect here at New Fractal Central on Thursday. The temperature of 79F 26C was ideal, but the sky was filled with too many clouds to call the day perfect. Since the new fractal cats, Cassie and Nico, do not go outside, they do not concern themselves with weather. But this does not mean their day was without problems. For some reason they spent most of the afternoon sulking at each other. An evening treat of tuna for Cassie and cheddar cheese for Nico took their minds off their quarrel. The work is still caught up, which made my day better than average. I expect today to be the same. The next FOTD will apepar in 24 hours or so. Until then, take care, and where does it all come from? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Sub-Atomic_Mystery { ; time=0:09:15.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.7456499103062/-2.77869068561652/3.04\ 4087e+012/1/17.5/0.1010712207165 params=-1/-1.7/-0\ .25/-7.1/0/1e+100 float=y maxiter=5000 inside=bof61 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=0009CI9C99C0MQ6ZcBjpGbbzhWvnPstJpRniRlZRjPR\ hERf4Vd4Zb4a`4eZ4iX4lV4pT4sS4mMBhHHcBOZ6U`8Wb9XdBY\ fCZhE_eGRZEUSDXMC_OLcPTgQ`kRioSqsTyvuX5qVNmUdiTvga\ ZfiC2SBCUHLVNVWTcXZP_`AbbMJdJKbHLaFKYDJUBIQ9HM7GI5\ FE3EA1D64E77E79F7CF8EG8HG8JG8MECODGQBKTAOV8SX7WZ6_\ h5dq4hz3lt5fn7ah9XbBRXDMSEHXCFaADe8Cj6An49s27w06s5\ 7oA8kF8bLEURJLXPCbU4gZJXXXMVjBUeJX`QZWX`RccMjeHqgM\ ijQbmUWpZOsbHvfAxbGt_MqWSnTYkPcgMidIoaFuZOsYWqXcoW\ knWhhUebSbXQ`ROYLMVFKTAJP9KL8KH7LE6L15F64O34N58U6B\ W7Fa8Ic9MhAPlBTpCWsgzjizdwzZmuTguRauPXiNRkLMcJGaH4\ gHBVGIXGOUGVRGum8zmCzmGzNKLPSGQOCQK8_G4_CkJf`KcQLa\ 5FVBJSGMQMQTRTQXXTa_RYNDfbPwzTruXnq`imheil`epXasSY\ wOUzPXxQ_wRauSdtTfrUiqTnzUlqUkkUjeUhZUgTZzJjRIhQHg\ OHeNGdMGhPIlRKpTMtVOxXQmYUcZXT_`J`c9`fP_aL`WHaREaM\ AbG7bB3c60c12VK4Ma6Ds7Jk7Pd7VY8`R8fK8lD8q6DnFIkOMh\ XReeGRhBKq7Dz8Cq8Ch8C_9CR } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================