Polar Traps Tutorial for UltraFractal - Page 3
The Traps
Unlike Simple Traps Enhanced, where the various trap types and distance variants have distinct shapes, Polar Traps Enhanced shows more subtle differences among the trap types. This page of the tutorial will present some of the more distinctive trap types and an exploration of images created using trap variants = 4. This particular variant creates loops and ribbons which can vary appreciably among the trap types.
Cycloid | Tschirnhausen Cubic |
Lemniscate | Lemniscate Loops |
Rose Loops | Trifolium Loops |
PolarCycloid { ; Copyright © 2007 by Ronald Barnett. ::t/e6wjn2tj5WPuutRc83Xg97ggeqpprXRqb2NgPYdaLQCaBCS77G0S02EHdLUcP7uG5DfGeR S0aXfZDypIoVvNDvMcm/8i/JvTQzl0y/69355J5ySGx/HbKpiP9aeZDvw37Zeh8AJJKw7Ajv /gkEjwel0XZiOSkaW5CWBX2R8/pmaaZhXGVUzkyvL8xkHxBBp+3fne46loiJP0UQqeqUybpd de50WJvpm4/PVjxL03rplmzlvSQBBeSBturlKY1SyrsOTEE7ZVNFMSzXYCIy3fXFttlXvXvA 5wQZCyDBLiQLTDQoU0y44HDWgQLxI8yVBxri9qo7rJpLSCRIUI2jWvHK8HwpLCXGGf/d7aEQ GSNZM9FuKiQ6E41yE5HY5fm0sbn3OeJrmWBKmgtdxT7q89gFX8Kx/HeqkTzo8ymnk+qg0uRy 6kEItBztmO0REC5mWkKdTxJphpQiGhjwIIJ41d8CmZjRJD7gkoupmd/dwkfbXl8aGV411UyL IBTTu8SdeYzP9OMMz2uN/96D06cGsR3uB0zO1eBaRM4xeBqWJsk2CAG+Gtu/P4iOJ0SeTZjw 0k//B61Ij26tg3BHMkQX9We6x3pWIYOaHSsNwfhKIFsdU4YhpbCSFmdb2VHSyb6gGNnDDWEo mTHcADmmWPshAsVTl295+TKtbEaXdHbp56OMpmU+aLkar325Jbgj/qkqQvs2oV/UlJFa3QLL 1HAMTu7z8WiaXruZTzuNqe60+Kr9UTftUJ4VTCGlu1Pbu9s26nZ9zs+6j1E/Ke9fa9fJ7b8N lf1unqzXTgN7aZvbGhKp1aZql4/n9dDAdb3wGmqMNR1k572YXEteoEg1kcztcVVuG0WsSoWD 7/2EH2QVNHorb2zD2S40j25RTDwtBYHxtlK4y56hUR5RrgBgeMQvWdSmRp2OaKakjO6lz4ZC hZNNtoDiWUd9hCKjsGufyrYF6KGSfVKZrls+CMTVgmuzcquM3qLrvWMT2UgZTKwM7ZOT1l1X dZjVXmbJAFY2JFojneNnUdD+mpbPwYW+pX7ht3tV2+qNZrNS1d5U4xthSBG3O4pHTUsj8B0j PoP5f6a0RwWrcSc/8bfW0rfFFqF1ccSZpaWdlFR6+Zh2CToqbvKzEio5p6C7u5hmn7n5BK2Y lDvEBHPVJSl5Vljf7vc8XUHwPa6DR8VNYPUpGD+tDCbGU/ICf7ICdDD8MHyuzBmhjm4RzoRz 4RzElp9G+z97bPjHsCHsiGsiHsSsWwl4v1cZv+J117hL7GX8E/wJ+RGf3IETOyENDuJGX1+1 Xk23CkvAHY1/Cru5ixHNY5qeCMmb41cJ5oS5grXY7z8H91boyXiGyFlX8YmYms+N2Px4l6BA tof46ge550Bd6F+2epGszxjqqKImTvIXPcvr8F5QPl8KIVx6dGaR0YQUu9ba6QwP6EPADwoI gK0u3cOcfNVUuRLDmQYa4EtIcqWkciWk6qFqqN0paDdq2xzb0iEH70xCws6axUwoGxcPBepf oPlqA8PjatuZja7GjRt0xH70gi7hoNHayoroTCTvCacbA+xvw60/Wu6ImwevWo2eMvVZkOTM UqX8U1DFci8hQWX1kB1b8RQl72e9Dszd0MIIOOOXqh3zSUP6kn3XISh6Sv61QB7nh7Bmmgjk LSNmhWzuDQo0jUZh7nvyJcoZ40mOxPKcqijcHHk8F1biyeoGM4P2bI4R74qfTfPrxK5BWP1R U1tz9CaBHmhm6rrqpBohAhG+RFqGgG5xh7YvAzzgWhiSRrWmEZbeZf7rwRpxhaydTPokxpsM JV5a6AHN0RQcQSYqt9Qsezw2FOaVQEILWs9JpXfO1D1jjj/IfOA+0PHYk9vrZnsU9bVz0/uY ACWLjqY2/ay//pymO20vA47BVSfQ8rM+P6Wo/dQ/NpzvF6/TR/t37/Q0/TR/HFyrR/fR0/em 6zQ/fZ0fbOcZ6/zg+7SifT0/TQ/tg4fI6/3g+78JV3E9/bR/H+2mrT/fR0/T+2mLQ/fB0fHF 9s0/XB9fgq/K0/XC9vHi9S0/XF9v/G7lo/vG6vDZ/Zp/vO6vTUOP9/VR/H+8gLQ/fR0/eV9a 0/XB93Ft/M0/XG93ee/i0/nD9fkZ72o/ni+3fo4DR/fK6/kvF4Wp/dR/dCxHh+fC6/oWcb0/ nD9f4rCuM9/lQ/nS1fO6/po/v5rBuN6/Jo/uR5mp/fD6f/Rjbi+/co/jfj3NR//Oo/DfQwtQ //eo/91x1p/vA6vVS/9j+HjWiw40p0/hrSCWua17R/jjTiXlE+G4fM0RUaw7C/vKdJKN5rE8 P6cw/FUxnZ1//N5PcCqTrp/B6bA+Xg6ylPVwc/AgaQTpl9sSWw/lnH8/9p+tgSfAwfHq/x/P 8fDg/DU/moMD+PD+PD+PD+PD+PD+PD+PD+/fVw/8mqKwuj4/v5VtlMPo3X1bne9jbhfPAu6A +w3H8AOIYE6f4rESSTTBoTbzqBZ7J43dm+MAGbv+3COBrfmiXJER/Bii/vBMkqANDxPDxPDx PDxPDxPDxPDxPDxPDx//2Q8/KUHjDzD= }
PolarTschirn { ; Copyright © 2007 by Ronald Barnett. ::kFO34gn2tj1SPutNQ47Lw+fQQnab66Vk6ldL4Br0eoFtAFNBoHNolotJiElCJ9+wI/47wH6h 9uJtbRfBE5Tzwhc4MfcI185dSapmW/NXfVQgmrrZkwfptmKfrq8AXKCDunXpPQySiCOw47Po JpIcQN9RmURSMraPtphSQLyzjO7HOoUyq4aFJ8XbF06qgCqUw06vN+2sbxRR5hXfl1R2Nvhp P0WRaOWr5dUlKok2p5tCS4PZmTQcYQbHtkrfkgiiC0SqQ1RlMhm8IT58gcPrptiROQlV1mg9 6raoddcxe7WUCTmJJ3EtIBtMPChyRLTTvNaBCtEjwLXFluKNohuXQyXkFjQoYcAVsHAlbw5L iXGne9V7alQMSdxM9BuxjQAFF0xklHYlvj0ubXwOeNTQbA0Uy2u44umwAYzlPSC/xj1caBlX 3eUHacS3GNTpJQgDibdGseEc5mOkJczxZ5x5QgmgTwIII4CFvi5O0MAxOIIEtC21XBL+pmq5 CGVGoar5VkoLDuyabc4jP7pPsyO1mvXcgKKZVhQgcHcebONQLSBN2DQ2qht0nAw03YR+wfzW kwqCezxmAsZllt1tSn11Gs0tkKuCKP0wK6lCsTUZWCMZrCJ1787oSSFbHFKOcmJIjb2tZnIm U2qgBd1pwZJIrgqMYVQ8Jbo1efAam1SVvrvgpbj0qaNslWaN4iNt+xOI2WvVFobh7Hmoqyuv evJO24ihuN06abVgbxq3x7ImjOR7m2dbMWUWdj0eqzWHVDaCS0I+t+e31r1e9CvehX3WdTCb 4ivY9XX8lhu8vZ3RR5aCciL09qFEqmKs4UHJ8rCn6A6W1wpmJNde1F57243ELeYAg1kQ/7AH oHVMRQ5xt8SjDprBoG78z21QVhJrgrKmhjsoA7+BZNUQZVu1NAcBBOhGGx5lm27g9zdGBi0G YCobtudtSzc422RRZr2r4WvdHHs62Tnq1JWIeqOkeFk1wVWeDrqveAyAfQTLMJoZLLGzuiJZ Xx0sr48cxlgFTSZTKVcW2V0ndFjZXx0ECSwRT2d88sr4isbQ3tcf5jb7v8lA4webj3mwFteP JUlU49uhUBm3O41InX8z8G0t3YvHc+eoIYvUJJtf9d3L7xvqKzm6KuMSmhN3gRE17lWJMhau MbEzIy2jiK/Z7h277X5BK2JVCPOBFrmApx92zpX9hTfwUdeyZDRCND4rvMzB/0JhdTqfGxPd GxTdD8yHyfyBixji4RxkRx0RxMjo/++99nb3jHkiHkSGkSHky8SwV6X5u6LOausPc13pivQP +C9En+UPkSOxktDqZOVz51da/LD6HgCW7ndtDXN+ECr0YJyJuhL4ayJDyBXvAg9tQZZwpQ7B q+hkhYxolOGJuFbfx91MetdCwI2nxOY3eOdAnegvtHqB5S8Iqacir6FNVD3rqfQPYpm3AhK2 eyQrSGdiRt/Qz6C+pJ+D6MwhIAK0t3VHuXQl1bswgzFuBODLivELyODLyniFmsNeS2GPJbHr 3oVZTkzHTA3ubBTJj6Az9E4d/BbGUBaJaErtD7Q7p+YELnojnMgpVIiVcYIHuiOzN9IoTtFa 38Omy+pdTJm0fvWaOecvV5gOnPMoX6loHK6M4Dh8qmFDo34jgG1t94HIXOBzAnMRZyla49sM zjOll9JiWau0beNUyePcPwNEUSuI3JG7FVHAXZnpRC3vejS8wwQ1mNwPJnkFn4TUQ6HMvJq7 7xBD6jWjBNqib+C/eWrHyj8amSUztz9SaFHWhtRQVTbL0cEA0wHVo2uqRBc4O2Dw6cdahSyR rWml4HeZ/4rwJ5px2G9dWQZjLZZWuR1ZAnMYIKNKLO3PeM2eY4NhTWFlAwivX+LCv+YqvTfc a6LhjA+cOCjECUt70zECeChAJrjRNtx/PJlgXX3qg85cmA/AgS2Cx/VZDIYPLXgJEB8d0+Xg Lw5EB67J9lwF4SiAjA5fEXgPJRg+2r/IcB+0EB8xwfCuAPHRgJdm/nkLwEiAj0CeBcBOnIgf /fpcBGJC4ZFMzFYmLwMXgZuAzcBm5C85AXAMaJCjzvkLQ8qsolrW9ccBwpZpryifCVAMYIJP 6ZpCsKfJKP7fIqAoPGVgKq8dMxn38AgyHlFT/fEjgfGQXu+YFbKdA3fgffngeaAL/40AeeOA +LevAaAT4AM+fl/XgGwAHAnXmpBMTDYmGwMNgZaAz0AmpBMTD4/QaAltNNgsiE+GeTXNLAs+ o94MofeLC7bH3UgPwW4GcU0IFgBODZ555QLo+hNTybJ6v9O8LgWz2b/WwZN5P/f7//jO5/Oo PSjjmbkfuR+5G5nbkfuR+5G5nbkfuR+5G5/cqR+fHENRbnJ= }
PolarLemniscate { ; Copyright © 2007 by Ronald Barnett. ::p//jLin2tr1yOuuNS09NQ/PIoVTmMtbRqX2TAXYlkFzgMADmM7NolotJu6Voo7HG5jfK+SSW d7H3gJA3FqXVFpYxqOsI95A07E0cJt8v/4DeeSuskR8/3NlUxvwqq5d5UJz37Veh8AJJKw7A jv/gkEjwel03ZiOSkah7pVVUCaRaawZ/h9yFsCusj4/faqplFeZURNTK/hwnTeGHEk6/4D6A p3/Km8QTBp6Ypk3S768yptSeTNx/XUfjXovXTLNnLfngCC8kCadXLVwqlk3ZdmII2zqaKYkD URRpKZf8hKabLveveLyhPmJIPFsICtMNAhSRLjjfOYBCtEjwLXFEvK2riuvmkuIJEhQhYPa9 eAXeCnuIcZY8jPsrRA5I1kz034qICJUgXLTkfgl/FSzude74lsaaFAoC22FH3V57Bbu4di// 8YJnmR5lNHl+qg0uRy6kEIxBztmJ0REC5mWkKdTxJphpQiGhjwIIJ41d8Cm5cTBE7gkoupm9 4Dwi/4Ul8aGV411UyLIBTTu8SdeYzPdDAsy2uN/c9BadOrwHSkXgzb1pBaRM4xeDqWJsl2CA +8Nak3/XrollQ9o28W1CzbKbE2J/vwYGA1W5FQXmgJhpcWe6vvTtSYNaHSsdLehKIFsdUoFx MNBpCzuN7qDJ5NdwgmuV4AFs7geNYVQWKgkyGDwTtWa3XctNtbEaX9Ebp56JM5mU+eLkbr32 5JbgLKqsqQvv2oVfsykDtbgyW3LYWc3X4tE1BYdzmmdbUz0p9VW7pm5apSwrmEMgirf1cJbt 1Pz6nZ9194E/Ke9fZ9fL778N1f1uj15rJw5et05mRoSatGnaJ+/V/xBgutr/sTVmmoay8dbs biGPUAwaSZ/7BqCdNJYBWhVrhuBbuDHqqhD0lO71ebJ0Lpde2MAc3AOWGPSVzLwO4yGlHtC+ A0zB69qTyMg12BTRjcwRvdGPTIM7pZEdQ046YfomyIrhbr8KWhuoh0XlS2aJzVgZqC0Md2oq Lbc1l5qFziNFY2kCMz22ZquMX1lNUdZjLBoAzOrAH5p3zJVXvvZ52eGz2P9RA4EeblduaT2a jUNcCDP11XKw3tDeIyEF7X+E65n0N/nvHdEs1KnE7Wf7rCH+VUo2UTHlySNs6aLi09bCtFmQ V3gVmJERzx6C7p5hmXdr8AFbsyh3lgOUViUZeZ503/7n+dVP+JzcIivaAbTl6bwf8jwmPy9F hf8LCHHG4RPk9kDMDHMxDmRDmxDmJKT7l8Xdnbvi7tC7ti6ti7tSsWw94v3cfv+o6Ge/9djL eif4E/Ij/4IETOxEN9uJGX151LS7zBy3gGW9v4qHuY4dDWuamAj5GeNXSOpQO46F2+U/Jf9B q8to+cR5FPkJmFrfm9HZ8S9HAjof76ge750ec6N+WHUD254BUVFET3LasH25KfT2PTJvCSVs +khWENEElr7QTHC+pRxDIFYQEAFa3b6D3XTFlb0wgJEmBODLCniFJnhFpjxCV1GOqaDHVtD9 b0ikR2pDFgZ31gpgRNg5eC8Yf/cKUBYDNg16hNo94YMglj8xjGQxCioN7HygrozCjDBNuNAZ zXYd6fPX1iJs3rFqjHzbVGozEDF6FPF9QBnBfIk1VtYA9GeEU5u1hfgd+IMDCyInRXqh3zSU P6kn7KEpQdpX9aog9bw9AzQQL5iUjZo1s7AEK9Xqswu1rcC7HG620J+Jxoq4EfkDS+m6NRpj YDG8HmNE8odc1Prvn1Yh8ArnqFVd7cvgWwhVo5A2V10AMiAgG+RFqmQd8KPOcJ7NS8SDbLCK KFtaZSkdcU4SNdZ9crwRpxhupwoh1sMJFlE4mYV/EBxBJhpqIYmKMtfKc0qgIAZsM5nkhmPP onnPOO+rRhA+cFCDyB6a2JnlD4BdRdKwJ+DCDEsWGVRn/PTpB/YZTnSYwZSC+HAep7KHLGwQ Y3RI82iA+EFAwho9+XvIga2nKB4z5/PwN+ukAcB+/mocXSAmy/fA9ulEgry/3BiXQCw15/bz hbKB4C8/HTH/ukAMh/vlN+XlEgPw/fk0q7SCwH5/3Lw52SAuK//zE4cFJAXh//IE9iSAuB// eq93QCw14/7YyeNJA3k/v7H4umEgbx/fE9+LKB428/HFlLLB4m8/71IcFJAXl/vDVvlEgbw/ fM/+LIB468/t97XVCwl4/PQc7+kAMl/vrp4rSCw58/nII4elAMm//oQ81IBYC//Bs4+kAcJ+ /9SDuuEgrx/fK1+LJBYK//PIJ4+kAMh//4oc3SA+A/fXrxdJB4S8/HE6dXSA+E+/9qCuHJAf G/fXdcbJAXh/vFS/DLB4JgSulr/gEgYEyO4S3ohABzw4oBu8ok+FEmGu0FFcU/wA5/lJJh2J eKd1gUi4VrQ404/ko/juE9/Cq4Ls6Zu/aM9bIu//LAd5yjFsby9f5M3/Zu/zc/n5+Pz9fm7/ M3/Zu/zc/vTu/5NVVgdHx/X5VtlMPY231HneuvbhvjDuqBfQiAKIeg3PQG2yvPJNNFIe643D fldmg/vzrPDIktX/jBnRtf+fqnvN4v/TA7RVgmpvPTffm++M99Z67z03npvPTffm++3C03xB BD03DuA7d4j+Dxe//BnxRbH= }
PolarLemniscateLoops { ; Copyright © 2007 by Ronald Barnett. ::N2ISJgn2tr1SvNuNQ47BI/HE0p2uNOSUv82Cewa7eoFpAFt9uBtElNRkI1SSn4Ys/47wH6Rc WgiFobRwuKXyMDJHOz3Mk6jAuRSq0k2f66rCC0MdLFH+HiWi8OaHnpqIa6dCRvKM4RWt+AOP NK4Alt/gGnFjCaJPRlKcqZ17JddEc8qiion9HKoSSrZaFO8PFcSbdQJRypa9Pncb+toooiwr vy6IbQ0R1HE14ujtaWPRpCqI9amgjDvzMnAUYgonUx0PhjjiC0SCX1TkUuG/EV58gcPtTUTx KRju1EsXfVHpvnx3b3iKYyUJ+moVRR5osbh/HvuILojsnDJQMqoILJ56raESIMIuwiciZWEs nRB9UZ1Ba19YRTTQDrlyJdAwJp7WdspLMA8v8Jc4vdslRKJsWxRdoxJ9b1UlGDxGIuzNg1jg L32HbioCUeRSBESpoUUc21Xx4KWN1VfM5aDEEcBne9Vwif5QtMOlIDUiWWNO6ygrq1GH+4zW ohV2r2+e+BCviWHCByDQJ1A4xryAN6JIb1wW6TAY6btg7dElGMUJaFSnlfFAIipWBmrhmHJV Db8gUgdmKPQALwqjz8O9BiEn6GAHtKPDFXE0sthngrEKwur/bFytcF0/ALyiEeHAymlTU3ba EARpV2adHp6+h2Dbsp1P1Dx2mdwEBMQZy7azWHvKC2bk3n8jd4YQm02ar+juQdPrHbqacxWR zWzgKruRaPxNWPRDacrsxbbe0dyZzEUW6NV61t9u4wOG/728jlffIABdNH5VbwQlmrHULxEN hPgk94wfIcuDI7Uu82kpOX6gkmt+dYscCwwGc74hdTuuBwfDAsbjBNMW47N2is5N9RrsHG0A 4Z1v1NOcgAKNzt0JeA2BXtBEJdwox36XPZjSTdg1uJRpQPpY3xJN7G6UHciFaHM5zpS8G4IK rjWbzbID8JApcI7KNZnPM47LnlgjymNr8FZX5FZX5Ia6TwSTCa3rpsrce2V+sszrNDRLnnNm ukZ6+GG32fxxenLa215Hm7CY/K5QFGuf3NEMpG4qHnX8T7m4bvJ2jpPfbUYkXqCnZF6fUO0d UXb2RbFWbk8wq5wbMW9BpVChJmzxGxcsUckbuCUdQ84wKPQQOpK4mIoD1HId2bWCP/mPe+jm e8zuhjxheD2Jge5MQuZMzLJvcSJjuBumL2X2AxkJR0U3KolONQ2kYuXU/4QR7R0oUysO1HTH NnNKl7lgzxvBAI+RzJ8xz7OVkT3hrOTJXMl0L0zwnpSxoauV13vX/g2fjg+E0wa/Sq1ct/eD alxckTcLjz04zu1eGOeBY7fDtlBnDtFU9pp92ol51cL2eT77os2hmCwo96rD2tnRGhqTsdoB k8EraQ24EXrrvnY0Aye5MoqPpHE32y6goFZrMk6pCGpObqUadB7MdcVK4T/OEBQh+9OYYPnI b3OgEOtLxikLxi8nhFFjYhJVTmlqJTRjJbTmFo5zkL8yud3CmSKp16+9Y4menLcDbQFgljFu dzwYeEtnm0IWOzkDNdGMUfwWxRTOcdaKO4buXEATyHoK7n0NtYS/Rbpp84uuyheeoLbE6GaN 0nijeG8FHPhfSAAHvUEAwhWFQua+hUSN4kJAMe25aDzCz9OVV2ERLNH6N3GKpfAOEM89EoBH Yi5ET8iqDgrsT2IhGlSGlSdohJwPLnlFnZzUi1nM3J6UQgy0QJgGRx8fWfPV4h8IvmpF18lm 9SSNDWkjLrorDkBy1/FrrvlGAj+ktcGMMvVhBqOhAYPZawhP/Y5ohBSOM4s4J3Xe8kxySLKS S9DsOybGueYd66Mv548R7Fo1ZrTMr3NEKdao1Rrji92TQD2RRZ5rjBgyTi3mE+wD6W8R0IFf UW2nzjDi/MecQNRePl/V/LDg2LlFPA28vKelwvDYJTfsmO/VCcAQJtX80g1LPNY5pBLPNY5p BLPNY5pBLPNY5pBLPN4/rnGMjSPyzcPa0wgl48iiCLV0vIk5T+XIz/NCx90XH02/FgvoxLLs 2XYtvwafh1+Cr9FW7Ls2XYtvwa/1Cr9bQRRT82jugku3sZSDE6/Pn3eJwKbv9bBPj6+nkqup u/VJ7cJtnSMcq/SyP/dtCF9SK6hv/Ufg5HhT4rfS6aortdhk+CJ9FS6Lk0XIpvQSfhk+CJ9v ZJpD0uACQxX+7uJPrAl928X87uJZdcSe26P9v7mo03mv+F/ubebaWRRaxnFl//xO27MG }
PolarRoseLoops { ; Copyright © 2007 by Ronald Barnett. ::9F/Mwhn2tr1SPuutV49Dw8fQQrST61jI1zpBchVQW0g7ii0u3gjEtNxIRpISfHPG5HfP8he4 HjfE0bQ7te2MH+6Qe+4hUffEeZHtQRr+bP+gnnirqYE//RTFt7XbksP300K99ejXqWTSiC8W z4rWrIxIsXF9dWnkEpH3KadNlgmlmGs3fYviOWJXJJ+/ajgWV6lT7EMl6HDfK5JcQQq/jPYc kZ6rZq1Nlk6NVKeLVK9KotKejg4/Zdf8w+eNt0Cu6dCKIwT1RFyWaHToIvzkWP0tiV3UyINf h1Be+xHqpttcxKzEUAdl1R+UwsggEc8Tw/RZpxe10VCY5jwppxhhP+wymOYRQtLK6WueQwMG 41y6KWzKel0scp3SeFTQrBArj9ysNLr99A/39Ox/X2Uxp5UeVzGlv2JtLUMpiArMw8FbDGPC ucRLSviSxJphpwSKCHhRxP+AXI5lM7+iOSXCLCRjg94DwgPupKugR78kNV8SSwhLuiKz6wt+ MbwwIblL+ZxaqogV6DLEAyka4GNLGKx2CRrCmSXAAdfhBa/MVqgKKaqa6s183BAiq3pgqL5S YTXBTcvlnpnSHQADwUmE7c6XodkIbDEk3yFLFhkiGJUjNvbGO2OSJk4A93ACuxC26RSlvqzA AzOjtp2XoFv2nXYWWK17twya+LSPVDkyrD5S7sa9mYTtxmWVZ2ytuU+KvlEY9ioZRzyF6GlE 9Wn2aFsMMbjUFUSYs1eb+b2DLzHxvcXV5uym0VifNX8dz/r5/FfI6rXuRUMnAbvCVfxcCVRF 9wXLx/79n6A6LSbErjRrLtr8lLczwweIAAzJdwJbdUOnEMDrBq5wOueVTFr01FYCa2bGbH0r g8FT5nstD5/w2x0aqhTczd7HgJtGaF9kb805SFzCTvMa21oGLYmxxSmJ0Ws3JGQtvKX0kTmD nI51sSTEDRgLAo59RXuO6cLDxq8JB4gteyyPK6yPI6yHwRXAmrDQzcNGd5Tju89iOXpJIa+0 oRnfMpsLVxO9HcK36ilvU7aWYXwuRKkFU4acbTQnWC30Y9irbfC90nQOMd/pRSwOrCSsxo9t u+sjyS9Ma2hVaLHsqPxiIyfrzYhJU9hXtZCkptRovxTuu5t+RumitWFwFPQupbhUbuIxf3P8 77+dd29ObzIivrCTHwH3DstHT8S4xdKcwNwtaI32GYGOaiHzWhSRjNEPam4MVv1vp9GewKcS m6bRDVHPYl4sgTw/AAQiN6z2Dn0tFx2yWc1WV4BdJ6gyxkdsumhiJmiu89yvoc3Fo2CJsmPb aqu0djBrQXdg1cBXwVkd2xuDOeBY7/CSL925b2QVbHnbdpYXJ7gN3u+TMeVfSBUp5ir1mpnT Hgqt8Xw9I5WeRvt2J2UXXOxQFYz1yQR1WVv5iKeNsaxmdGa54GGtMecr04C+O2wokwX6tICg CtrswwKBtraRPSYLdIWEeIWksHWkOgF6QNcSoGOua0Rb4kFayE7Untd2NgZHjWZc/KCcHv1F 2m1oCQqxA32eoreAtH70AWOpKLaarQz0hYMHqyirjdxCfT9SDQY8LMp5L46UsO3R7O92j96K L65gu4BorP1QtFFsH8hQj4XHAgDXKCAYfqCYXM9QKtEcyIAimcuGuPLRfvTRh7j76D96bD7Y /GcIo/7JQCOQ8yaG6MlrBXZ6s2CPYFOYFZRD9CfX3koYHfSBkar+ORbBMUYspQoEVydfQfFr xB5BuS6UU9XaW1RL5wgsUXbqrBbgJ9/kX3Wx8gWf3sd613vZ+ey6mGgykOBH+8jhSGBj94wZ xt2v8Y5elG+cUMK21QWgraoq04sMX1ok+6DBKphxY94tNhjGaKEniySc1Hi7rHFG8caUCgUO K7mowt+g0F3SagQPOO+WkCguBpAl0uXZiv5VCA5XSDeAs3/vCVBzFrqYTVEIAwkWNVDQ2oXu CZAfoGA3H/PrMgLpBYclcOZAnTDg1DfoMgrUDg9qlPWGw50AMK15DkBcBNADskPSGwtpBYPW yz7ZJfTaAmq74AWyXnGAXssvMgrVDgdwfsMgrSDg1JfkMgLqBwO8zJD4q0AMoV40yAuoGAXW 9ZlBcRNAudzzJD4iaAmww/jlBcZNADU8PjMgLqBonm/HJD4q0AMlk/plBcJNAT9wJlBcRNAD skPWGwNpBYkt9gMgbXDwBs+H5sfLaAGZHGPVXxtoBYKX39wirTDwAX/jlBcNaAmO7nQGwVpB 4IO/T5zf9aA2zN9I4NqBYUBV8ho3VoBo/rynQGwtoBYgw/eyAueNA93fdgMgrUDQvahTLD4P DNAo4nHJvDFck0D6ptPUDKJNN1Q68rCt9wLQb//Lfs+wA0zZPnll9Vlf+PVBU+Okiu9ApGR5 qNlM/jZrfwj2n9H/R7dc/v/s93f2+7Pb/9nt/+z2f/Z7v/s93f2+7Pb/pps/po0pU2DPggur BoX9c5/POl9cgJ2Kz3C2j1+JZpr33/G4tzjOiieHrlR18p/znb+Pvt1T/Lr5PGr8gZoso0sT yN/r9vnmZxh4kzQP3N/X8F1/fV65x3pnfne+d653pnfne+d653pn/NJ9ccQwI/8+f1LpPHjx hpH+7qBFEjeOJLe8HWz4PFHgQfCCG3R/yaQxpZpRRZH/TrJKMNLCFeTE+/3A3vZviB== }
PolarTrifoliumLoop { ; Copyright © 2006 by Ronald Barnett. ; Tweakable ::MSoDRjn2tvVSPuuNS47NQ/fQQnyy0uFpWsVC4BrsAMBJADSydDaJZbhn2iEdvYkf8TxNJa1t 3GgGvHmQfqKuUsqiFp++Mk20RTZ0yv7+7ccYFsyci7/ppk29ndFbaKL2X9rNNtuOPXkx2RiC 8c2lXsdHjEiwOl0Xz76JR85ulWVRJoZzn7d0PsTaXeWBrn4+7N10yMnEaXdOj99+PG9I2zbu 793JMkwFqyZ7ayIV7LZFt0+enUaLropm4+r8x4gQuONt00C2rEknnDrjW33S7yrZkXz7lmob beVTWOpvZDrk7t3fXFtttoerYNShBn3RewbWEK2fu3cUQc4jezwxxIvwFe4YnK62aCeWQg3i FBxO06tQi5BUQws4Qc493tppDcRq0lpvUwtH4OeOt5dp7yT/EpZzGnNFl510KIl2lve2+NVu OwS39Kx9X2XWQToFlN7Zucj0uil3zIgbDirldIsIYyVtIuzO3PEHEA+ZIGJcii6+isc5OHPN sBci6m687vDm8b7qsoOn250D7qZkFBehehRTdx0Sh3o8SRhAM/2+V/U9OadaemL4OPBb68tE 0sQQL/FImZwCrCDY4rEZ/fGm7OIogGTbKb6kt+vhUFlvjKHeWRPUfwg1XL5IGcPfhgJIUI+K D/EtjEI7gg4GYzqN1+k0meoRZJq3ME3r6hKMYCi8haygMfq0+PprUaX1JUFdsmmK6Q6UM2rt gTtcdvDrBOfwdnMxyqsW9+KpL0uiWWKKAkTu/TFtE+uWdzqmNr490L05Sbpy+apMQrm4Nm0W +s8g1SleiSPRpLKrJuVF1f1y/VyX7KD/qN7rTXSgN7amWNhQZ0aRaql4+NumGguufYriHmSr K98NrULiIfwTALJM91A84cJkdx8U1SYvX56wRDezeiIP/5BZGs7LUeU2AceA2TMbpq5JYB0O DXjWBDA9onYt6Z5yc16RxuG2oiY5kaSTIXTZLCjISrm6QIlQWCnQLqyzExM4+cXSFLJ6AMhH gyuTMiuEzoLRHLyJLDwkJBYiqqTGdJ6oLZM6SMDBIATOKAN0Er5kobQXOdVJjc5newH2gXXp 6rW6tKLV3nSh73GCFYcbgLfkWRNyHQP+go2/41ongVSpkQ98bfuTn/yy4LqsgiLxbmfoFR6/ rOhEmQ5nf5iRkum91ZqdzdNPrn5OKWKlC3CBFocHpScdi7hv9vP838S8Dy+QEXeDqiK+Ywvd QY5g0jw/tjw30MwVcI1OHI6PKiHFDGFDHFj4iqz4Pr33eGPI5PIFMIFOIFpkgjxfr84e9e+B 8hj7SV8Ed/J6BSdTLESOk31MoGJV57XPxU3GweBKYFPjV0c241G5p8e8kirKqLYkD8MHc8CS s/JUW6cwVshyeJYwX4ahjeicyibZ/h8iSxAgWEXdtTs8F0h80LFr1paQOFPmV5GRW9iM1waV 2LsheKLqAXFL2ZoZBjGhrq30Emo4gh9AkAyMCkFa3KrD3WT7KXJSDSTIb4och/0cR0R5i5m5 Ce06bEt+GR7Y9GNLyQe+YAIXdRysLnKTmbJwd9D9xzKA+nxctoZZ220Gj5SDdsRDckPEh4QT y8K6IzozgS1GAi5T59kQVJWn6cdHf7ReXlM1JtBP7FON7h8OK9hQKV+khs34lgc1168HInak zAjYoYcoGuPLifpTaqOQYd8D98bD7y/L4cgsJokc2cpovSsfHYKxI5SY985K+DNDVbCH/QnR UcowQBxehfnITDrBD6j96Da0+C+T13m3oS5eKNeJK/052OaWBMDJK3mqKQGwd/HFVtl5OQvv K2Od0jbmrTfVTDgaiXgDP7RAMjfmnbgC484LwaIhgFvIOexcVjIffVzL8Dj88Qq2xRRq29DW E7tADQRlg1Fukaxg9ett1Q5xhh3ELAvbgFA8o3Ow0/TmDAUG1LyVAi9hhR7S5wE/MzHQeKnf rlrJdgaI5SL1QDV0AW8e0AOBHA1hwLRD495AMiP+qoBcCOASrcV0AmyBYM3dJaAnlDgO/dCa AnnDgyHuENgTwBwES+VRDYCHAFi8biGwb4AYwu6qoB8WOADkcuMNgzyB4ISOnhGwZ4AYkRPJ NgLwBYAe/FoBcOOAa0snjGwF5AofI35oBcJOAGQ8PJNgLzBwwKnmGwF5AMwT4M0AOLHAdW9S 0AuAHATM+ngGw55Aoq3PLNgTxBYE821RDYKHAdRxNRD4YOATIFct0AM5AYYibhGwEOAj5irj Gwp4AMQP480AOHHgpw7PFNgpcAeDtgrjGwEOAmW5qpB8GOA6SjriGwp4AMS27qoB8OcAGYGc N0AePOA644y0AODHAVK9jmGwD4wRaAo5hKk9oo5znDoPVdAjS1BeRMA6/jCyf8Ng4XakSLk/ vMh8/bQWugtPL3C43C43C43C43C43C43C43C43C4/zKgfEyAvPShq3T/X7P0imAwH1/tvv9/ 2//TA6/78rlsY8tY8tY8tY8tY8tY8tY8tY8tY8/s+n6j89HR5HN/E/p+jvgPefUw8xXAmvFR f0Xa45/RAXJ3SWM9WM9WM9WM9WM9WM9WM9WM9WM9fmfRdevXY/38e6459BDpfxRI6tfztQXi CEJq9A8iow4Qk/HKwd3/AQjXyRuzbz99eX7r0v+NuT+EclQ5vBc8qP6wb67u1AHvc6/v8d3e MOeFerb67u1ij3ij3ij3ij3ij3ij3ij3ij/LYc8hxY0i4FqmDHaHBwiBY06XYH5c1zJMGF5H r7bcSBwasYh2YjcCiij8QhRjLPeYO+eY/xp47N6AB+R8vLAVHhH5AewyjjvJmG/X6wSybB== }