Simple Traps Tutorial for UltraFractal - Page 10
Dual Trap Parameters
This page deals with Double Trap parameters that were developed by by Damien Jones and adapted to Simple Traps Enhanced with more merge modes added. They are visible only when the "expert" box is checked. Any two trap types and/or functions can be combined. Since there are 9 trap types and 94 trap functions, plus many merge modes, this is a very large number of combinations. This part of the tutorial will start with the new merge modes. The new merge modes have the form Func(A) op Func(B) were A and B are the two trap types/functions and op is the merge operator. There are two additional check box parameters called Merge distance and Merge trap metric. Merge distance is available for all merge options. Merge trap metric is visible only for the coloring modes
The user should examine the uprs thoroughly and experiment with changes to the parameters.
Arachnida 1 | Arachnida 1 - Bifolium |
Arachnida 1 - Bow | Eight Curve - Trunc |
Cassini Ovals - Sum | Cayley - Atzema |
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SimpleDblEightrunc { ; Copyright © 2007 by Ronald Barnett. ::5p9RCjn2tvZSvtOOSA47BI/HE8ppRj4IRt5MD4BzX3NwMoPNzcPgWi2WIarlozG6f8TxdKHb HnB4NLo1D4BUcrUxqKu9BntD0COt+Pf7NBB8KeNDv4fU10Xz+pN1/c1u98hDtFLCepqkvHnl EGsnJqFnGhCqpvxGGxJixuj20QxRLzzDn8PUQxArsiPiX837ap1lBE6QLjz/Lx3HfPKMMfxt 3IVk0EaY89dl4mD18qe64YQBtnX11iX8ri+EgWE01TLq4vhjCDD4D02xe6ArljfjNq0wwOWT XJDP2tlXLM2bvph23X1uT+JKgOzGw3FuMKMOHlFiCzCXlef4y8VZxZRPkhyQBN0dt4HW+wq8 oHeIKg2uDcN3lkvMFhQ3ez2uBwGpKbm+alQjgBFG0zGK2zKeC3tdbw2qaWLtB8pDsNLPstZR A8xHeDv4vdouiSoV1dH4LEKp/RObkjptlg4GVDSNCq8x+Ih5mIsxsk480bvpqdsqkpiaCfwW 47321yu9GYcfsp6qWGdIYg1zocojBjd1Vl4wjtwiapxoNyRZiAok+xH/52902CW5CwceGi6i YS0yIoE7VYObd/w8A6/jyAwvUNMyhaK6q7GUV9XBHFVEQV9tsaESP4wn3IFI78o4zADQWAnq 16z0BcJbLFSOUNjjEqZ7jbbjxFdjQlq80lxihUK7BIMCpbwwlOItqE+AQF0xncG+gsoshN0C ZD6e3eoBjAZadtMSraZ8pqecoastdP2t9RRjjYRETItD+MyoHlDlalyCtt+F1So1O/FRXFRX WmEjX8Lwav/06fAS5DkikfYBMbb2CyrxUOtVN9lVQwj/2g0t0jvzXN0NjaDG8xclmtz5tP2b rRMo36ZrxC1JiRmxA+914FydDC+2hhnZioDdNOcJSplNrhcBx0roXUbow733uGHLUJaNeNYq ihsZ8Za9a93qltborjvG84moYyaMk62ylFSNFAPNNy8FGpInYsUUZDj0EXDpOxMnYuRUMfsG Pt/FoY8yw7h/DfZ62W4rJSnkywnbsqFkHhCOTC2QYtJ4P+E7F58WIzpDcZh7VVA7DA5f+100 9MTtJkZu7XHtB6c09h6oxpCG4Frhdt33WVSDi07eQFTIRowGJcBCdcYaYYaUwPI4HD8DBuIg LAYlS8jEpOvvz5b99aLV43PytL86KzQ44987+uds1N/Bvspij9pqF19d10hITgSWCNpUsska wVycOVjVykOrcsncinc60hn51Uu97oS9UiyEvQZoeoj7NaZC1Inp2/oqtwkVdvuMMdNlUzK3 YVzrJTLndE5Nj8mQTs7EvZkTMzby4mL+TFh9o3Itjb6t20f9oyvhthtXdiv5sDRqPBLv8Bou DyTF1Z/EMpaLc81hGR+Axk3TsJ+EZmv2b0S0Z/kpp/kp5/ERKiM7noy1MrGSJ+LBIu1AOxYn YiTMl4viIz1QOxuSg4tUgc0aBy0FDEvVDE/lDE16BIjh4vFExFOUrNI68F3qCi+QQ/teI6te UZVkjTrITyrIeJWeyIP5Yy0cLvmS9kz8kzJu8LfDQ5ksLXszWxM/DrVITWr45M0H0qG7x3PC OPcTjutWzWKS90OWQhLAqVC0rtwlzU6Q3v7iu/OxlN4T/CjiLxpELwp2JzLydBFbPTLLFfUZ ogLkikpAidDFHoLkQYq64ottZY5qBda1+uXMjcPsgWKVA3TDOPXYKNyrct49f83f/3FHZ/uq tI8CRF6NJF9B9xOhUdy0j4P2jYf1AXCMSn6AixORkTMxJm6EzEi6F9vo928XQWpYrUiVK1Kl plgL98jqFLtHEnYaPDTVEdU54jKn4voXVVK+d2QntYmqoIe9M3cbpXhVMy3hIru0eaeJrQ0S oSESCr443FeOYbNwx+PhrmF8+CZAl/q/5t8XTdWiawyLB8NWVtsDQNyL+tX+5roW/0rVbMua QuA58qCloyej8LhMF5vyttUX1AmKSGZolJOlIKaCaSVU9un+gnKp8IgXofnKPcXLdo+RpbQp CVFT8FxH7Lym4Ly99FiZbs3sN2b26y3olZey5uJg6rLdmDMqyZuDDnFYbT4Vg3I681yqVebf d48lelReVIebIWKarS5XjmoGjHUVsDeF+zsRcqOFTfnF+gI8o2rS56U6Q49SP27FFOx9FFZP ngPAeP3mgiibM+PQuwznBKxrg3iaYDrMxmOFFmJCfQsoXsf4A73g1BqqEXsIXJGrFH3DqS9U MQCZGvoQstaIbTa4vP4NLevyrQEcPCYPR7ZzIosr1YoEVcIJ4SZdaXeoukIFVs6c3AtsCGhi EQXTDIPaQeEAt+mMcGY63yFBjNw9D2LTwhjdkPeFfHKU6KrgFkwFYUPaFnkFlmnGrrdlp6IU 6KBSBV1RZ+dPGl40DKxOkVpJpJZ66jRm6TR5oUUG8KfFEE50QbgQ+ixcMISQppfF4KRfB4Kl 0hnYtzkV03c4/W8UU7AIcpV8DlyHmbZq0CeSat5tQaWKrOPLlTDSRfIyVzS50gUcTlLxS5Sg UM3C8MsUOGki7DetsUOJIljUzZYp8pgUs0uuELlLBSRbHXBLlzDSx8WkLxS5TBpYUyxsUuWQ Kq9uPFLlLCSx/lMnnlyJBp4eQ5nzS58gUMPn86YpcOQK2QwnzS5UgUsO/rkly5ApoRGdVsUO Gki3zB/cWKnDki9BhXmly5ApY2L4ysUuMIFtJcGWKXFIF7s4YWKfFQK25yxsUueQK2FHHzS5 aBpozHOLLlPFkiGC+ZYpcFgUMZ2XilynBSxhz9ksUuCQKO6bfklynAS5EYcPBLlLBSxxd8is UOHIFH3xLxS5cgU8m5XDLlJgUsnR+FZp4DSRrjvGLFPQK6Y//OsU8ApotiZWKzsUmZpMzSZm ly/ZYpk6QgElnaQgklnnjiS1NA9S3Q43J6HxfC9j/gS6AyJGlezlp/PD1jfCuArQPz0OmpdM T7Ym2xMtjZaHz0OmpdMT7Ym2xMtjZaHz0Ompd8/V/yR+Asjwwvb0OIwjU3JPLYCwj5fKHf4P SmvrYN+Wd3I7YwGrFewvEVjsLxzYlllheZzfowZc/MOjZcGz4MmxZMjzYGnxMOjZcGz4MmxZ MjzYGnxMOjv34MiyifI6hVmfUHxx2GWFLYJY+DeJLT951MQCRowkvEwj/FQ3acQS }
SimpleDblCasSum { ; Copyright © 2007 by Ronald Barnett. ::Jt18Rjn2tv5WPuutRA43Xg9/ggfKBJrXJqbebBfw6kGgWUgC0k3XQLRZLs6Wko3bI/4zw7Ue 9ttonm0WdAOAzwLDJnZIF5HWXOQyZk6/0t345xqY1U8ifqqpvm+Dbq/CZ8n23sw7lqC2OcSk v3Oa12dMccAyrm8GdYEHx74WSTDBHsMN1fy/Qe5D0iK2Iex/srlUX4lRGapM2fO8+w7R++pL u9GhhEjfDltrrA3svmV1TGH9yJ9squW8i/OvNeoFed9k8K2b4AffP2ApdsnMQbZ43ojSLMsl 20VQxjdlsa+k92baI99VtbFDRO0Y6A+O/lB+hpoEfkfi/q479XmuKJMJ4hEUCyrhstF/wyHW lG8wDBek2tgf5uo0lxIE62bK7Gg5IROnJvWxtIMh896pD57o5Ph7KL9KrqptkGwhOQ3scfJ4 IhBf4N8i/2+6KSGpqubPbB3I9PyojMMptAE3IrQYRwkP2HwnuR85YSUYa8t3U1OWVQlhMuPo EG/2uW6t3A97jVVX1SJDeD0eKhBN0bsruqA7f4MMvWMZUTyRRWAYk+xH/Lt7It50iFw05ZIq zjJBLDAN6rwa24+h1B0+HFBgfsaYkBlk3V3NIL6vCOKCPgKbbR1IkewghXL5Ja8IfYgOIUwx Kr+MZAXQLJQyhsacA3MlPW2Giz7GhCl5pL59oQ0AQYEy2geL8PKLxdBgFIjPZn3DCVRFbI5i KUtudfDGByk6aRgWWz4TV9YfZfb7esr8ReljYeAjLtFGGRwjwAtWhM3arfRuDat1dlpKKTpL yhxLgErvZ93n9tLglYT5+281YCj0q1ywj/yg0INd947c7MZzoaaCOWm0eS9yH7NqqZwb901Y uF5BGdfAn9a8CY//YVbl3/4ZStIoQWj9XydGbWDxf1yPvnXqP3r33uGHyNKaNeNfyCdZzI07 1qxvludorjtG806gX0aMkx2yEKxaFwDTCEDiQEZFDdG6RSktiYrYiVMVLyXRwkX2RS/Lga4S /7h/DjMpsFGNeWkQGGOYhDyjgidKBnDsWH0Hfi+iYdzlZkBmQ5eZBw2fIvztkmunpyze0rd3 yINQjDu3XFPOW4AvYNcS9u2qCiXg6QDiOaoWi592AhKOMNMMNK4GEcjBuhAbEwGAMSRuRiYr 3368N+e1Ml73Pwtz96ypB3x743dd7Yjb+DeZdBH6Tlbm77qJDB6AlQDNRLUoJ7clInTWZlIp zIH6IH5IHPt7JOVlaGHZqnUUk45LC1DdMneLSoGZU55GVt56sq7V6wyVrJXV2+KXXTWW25Rg zKyZBNZeH5sisiJOLG7axdpwnPqDQ7Y6Wrm6veg+bYTY7Vr4b25BP1HOWbfjNrPDnVVCftSU GJTnvnZS4zsZ8Z4QldQZTT7zmm3nxTNEZ9Zup9KFd+cQmN33KGaFjsixWxkM3NFpZmdAZObB yOYPQmzRPZ8tAyNE8dBZubDyk7DgMlM3jeyUpFyNEZ2gid3Qm6jeuH5kpOyRmNlNZPS2BJXh ZOJUOyIHZ32ElNJ/K2pqEH50MbeVmbiV2kMLzqlvy/weksJ7R0aqvqazuO46QwHD30osbr+o ERPbHzJw998lNpEuImxGq2dXw93xvcBzOIctR+d2ki54Y5i5FxRfxqDsLK4DqIUw4SBiUA+p gwXzFSIMRmLU2mgH62LuS44uuXaMf3gtD2ILsROctM4j58pSj4GWLe/7+13/V+nqfXWXAeBv AV6AvNoP2IksR6WE+xWE6aG4OfBqUHQM0KisiRWxYrYCXUtIeR5tZvgMShGpIjUsRKRnm3j/ O5Gk298vUa2ELVRHoHegekdfuuoY870hOjaiUlHvempvK4rwOGxzOEFXYiGF0ceN+SRIJsih fn75gjzAH7PDXKz79FiAK7V3vzyeN29EHenFf8/L0qaRDgSEX5bnY4rIG/0rVb0uaQOHZ9qc jIzeDc1QaV2rMTN1VNwUFJiMkiIrR4q6gmwEVv7YP4lRSPC4F63KzD32SGqfU4GkmQWwEfR4 h+ikJ+iUXfBf1G6saDdWt28NSRijcqdBIHdhzcgSkOztY4bBm64eF4JhWftoYp321GWfpjOy pA+TBxCRTRS/awEzo9gS1O4F3PTHFPthnipurCbgHekvUQ66k2g79iP07F4Px9FEY+OBbA8e 2jP5qb0+PQO3xnBGxRxZTNcmVC/cn8c9ChNw30zPScg+Lw+AZR8LUkKFDVij7ATJf6FIh09n rEaKGy2ET83HcWFvX5oEA3fAOTkpvhKC0t1GCaE+VFBXKtT5y9Va8UU+uztDkiKoHyH+310A yja8GeQtvJCne62tch3YDc/gdiEc4zOi3qivD5LclVwGS4iLy3oijSCiTjDVluSXcAKeFngg s4gE3mHiis2BFZ6yq4o4oEV5hId5xoUUMKBeUvk5hYZomgQ+ie6oJigij/MsUC+EsUKIDPRb nBpou5wvX4TknAwdpVs9F0FuIUaBPJpWfrPF6kVnGdy55mo2yeJ0JHnbidlcO0Jnjbi6ennC dyVyNReyxpQncGuJG6UnEdyH5mY7z1hO5IcT0Pe5yoTON3EzjXOD6kLyNx84lDQnctcTsPe5 Q0JnlbicYvE6kjyNx++xLjO50cTUpdXJ6kTxNxECuM6kjxNx48vS0Jnibi6BHXF6kD5m48uv LjO5UcTMv978oTOF3E9ZAnHdy55momCnAdyVxNxsKOEdynhbiZtcI6krnbiZzxhoTuauJSLc S0JXJ3EDwwjhO5icTMUbPD6kjyNxSt9ioTOB3ELktLhO5DcTOCt2LiOZK3ELexrGdiL3ELex rGdiD3EnV+M6kZ0JzoTmRnMjOZGdy/RQnEHaJeEElqJekkmmiCiVVAtSVh/XJYHhXA2x/nC2 AyJG5+ko/wg44HgrvytzMajZ0GzoNmRbMj2YGtxMajZ0GzoNmRbMj2YGtxMajZ0G/R+vKkDJ bAN6rGajM4RpbFfLYCdj5/MN+wv3lvqUM+Sd3I9QOGr5ew/dDxY1/lCxwOgKOG/I810vZ93C ZteCxJ/IX0bnV8M47n3N/7cZ+35y8vzl5fnL/v0vzlyqNdtk88qP9v2FNMvrHtxEuG69CXNa jjz1Qvf4MoNOHXD7Whzh24kcNcJqec0GXBXD3kqjg24a4aYzs+Aajrgrh+DpHBtxnhrh0MTp O8p5aINiBtxnnrhaxoQb8vKXD97CkoNm5aMz1YmrxMXjZuG/Oz1IIJ8hgHWp/T5IM0UxqQOU B9vqlkE5wrgh4jQ+RfKyH/WbRffs }
SimpleDblCasyleyAtzema { ; Copyright © 2007 by Ronald Barnett. ::2I/Pvgn2tz1SPSutR47Dw8fQozhEDnZGJR9o7EwDtWnDOI5i3cfAHJ2dLM6ll48qh/xnq4bN zsx7iAHH7lLwCUFfUk1XVFJ1H6dPMzqFsu/ylXEFJaFdc6mP22P1x/u76+Ab5lO+L7Fn59sN RP12IORLyijOxbPeSQzTSj6YvwnXo548Py67Z0krLLjX9n0o6ZeTrYhu5HGHYdNRVs5BuQ8X J3QuJNOuczlXINkcb0zFnGbo9P0JanYLLR1sJR74Adz/AHTU5moxJWdr4FaScckYmNsMxm5D C6L8lLvonNN1OcUaraoV+M9q4rj3lnlQ2lTSJl3EfdJhUmuLNlQKyj6ZHHoJZXvtIroYbEb4 IgDXRKAPZbxlXcYcG2MM1mj9cLaRYljjm4z1n413THPcI6QbHfg1DA4M/urf4Q/mIYxnfhu5 v/QXLri12N+gYDakpbF8FBtnNMDy3p6R6MT3Olg72scYPWkRKBgtdYpthriQoveAW+hxB+lX Azy2VDHGGAJlxuRxmhY7Q0MfizEwciWG7aboxvevW3J3W6t7iM+DGZa52/2wJ2QNvZDszeEC 0YYI56EQj/M49aEX6Rw4vtfshT/Q34C4eQb1jdjzqG/u2FBaJo1m2FIfQwhN0cPrTNdYQyRT z126R2MdnqDaS0hbPMQo1jLQLq8QIimiGT2vyGLQKFMTtd12BdbwKsl7x9KIOLllteHr++1e wwD9U0ssuOZYWNll7bnoYwZY82xD3i9sI1RpjwaErswETANMI7Ct2+nUFK716Va9KtePMbIG A5U/p9/5qvRGEOcb/hHGq3TZYoTrVRX+xZJYMRvyfys7WcOAAsClJVb7D3O5rKeZivnimDrm 8mDA17pb+ADL2/jLRfk/sotGj4s9AMjwxd7hoO6V1TYTxYQaaYPloRu090942FmydLPy62rX yB+x5xRxeEuxQY2eKkvOIkK5aFdwjlYWkFWqTk4Ezci5OxCpoxIlmOQfSt5ZTPBykrjvB+Ls ysDDwSh5SSZYtWaHUQ/Cob2iwEHOuXGLXun/k0vRZBbWIVgKU9yCl/QuntRZg6Ru6sn96EQb DseYkJ3onKGUcxEXAhuZPcy8ph2GWUiMWYCF2IhMQoT8GoEZcYdYYdUwGE8jBvKE4iAuAgD/ dwvD9XB+Ws3D6fFy7B8IurBd/tBA7ULS7hpKU+dBZw10AxYHbOxErkapr0IGtWZCnVWNKlRa lZd2uy8kz9kL8kL9m+kK1TukqcPYDjH8MKsJRYC1igrOVpdo2kVZSLgmA31MTlXtypW5Teu0 KvI11h3Yy8cHPvxzZW5L+uizTMjWv1f+V6vQ9LOM9CivoFx8+q3LxvCy8lP4I6jTtzsO9Fms KT+fltAoydUUlO/vadBQl7wRdRQltKoyvMoyW0DYYlrKoyP9m46IzJm7ELcilV2aB5OX7FAG W9qCiKvKiKvSiK/zhqMXxgZOV+HFVpjJqqDjmr0oyWbs6IoK8IIbqV1qcrVakqVpU2h2KRHX +lncmnc+6pX41VpddUYkNLrylm5Nbpn/maGzYVFMGN99s25afRUX7Anh3ke4ue9SOYOXROzh laG84vY1QOAPKzaD94uK5mrwHAJcLCqtgvfTJWTzVOzTyzB1nRzaawFVebgAlSkpA4Ri4l7o UKlpyFOMUQnHfYoB97TjP1bDiiTQVt0G1wLzg72LwIr8JWbO/t/05fCvr4sqvE6GsBd0HHT6 bHUqaQmRQe7II+mBe2XiO1BEJOxUnYmTM3JW4dp3Ta0W8UqViYlysS5WpCTa+E9bV3VP8Ae6 htIWpm+Kdyr0zcX0YaKnemPPaVLUqY86Rh5lTPDVM63nDN3YjGN8asnYlIkE2KonRkDOeDA2 /F8MtozbkBUxz+37Kee1Nv4klvE4D82O5AgWkvA8kc5bZWc6527MQNIXn6QV0Iqs3EftUjq4 Zhtnu2eYrmKjMsmMnRQVTQTai2ze2D+MJFiAow0RVe4xB2c3tSYQZCVDrwCyrxiiVYRpPWge LxzbJeerLfj1U4JX6cA1qLBzZOTBmHpw1B2+QUB++QHWLbWh2+2whle6peNgfXIVKabShrJr MjBBVqjwnk9IfR+dOYK2s+EhZM8kKlUQnyGI6lrRv/gF+SiXhfJJ27KEzA85eHBqenBAB5aP QDMiniXVNcoFeqySdtxTEzYVPem4M/HhCBVT4zLKViEt4yJwUyRiSp2vMDUI2mz0fQ35ZPv4 crnSC8gC4QRddKcwIo76lAaM8iSAT5jaMPWrh5oY55xZWTLMDFNAj99g8ihcjIo3XkxzIz4u eTEkVcPvRmhv0DvV4k51DwFRMJDEXlCnB0CFnwLaiUfvaSRZR5uycdzkdm2zLIZFxbx5r6aH R312itZws0ND200hx2k4CdL7IZpFxFwn6rY8Q6NuN3nYnZoHJN3bb514q9klLlid+7ITz+7J bbfJ01U4orBWh3wWDaA4bUl3gBPQZGM8X9U44GEWE8/F83894zGxw6XEBOF/HJwJLwfTg/mA /NB+bC83E4vJwfTg/mfHzfj7VKIBOqz1DM4EYwJwgTgBnADO/8M4o58AQaLlHJviJmdbzLKy L1tu1SQDZb82YSmj0jkCbfJZp7SyNUxkm5xqTZRSuZJIpxKak09FXUuN7dJlB2gvDLMfJ8ls d9PvFH7IyV/3QcjwkX/5RNy/Vkj8p/Rt8/eyQ+nAg2Keo5n/Xzy2PTyQuO/TyFyAPwESgJkA TIBmQCMhEYCJwESgJkfn+LZJJwDSgHkAPI/GmHEdO2nBRIBeQ+F9Xyy7+LEhU4oAxxZSCpkk /GOT2VWQ2W8G+SS3VS2ml4sjjxESy2k00UHhJ62LT2WSy2+LEZJ5fKyS6eovdA/a/AhJBCTC EmEIMJQYSgwkAhJBCTCEmEIMJQYSgwkAhJBCTCEmEIM5rMCTyWRYyXtkjY+naz15Rv+BC/ay Tyn9/LpEoJJQTSgmkANJBaSC0kEoJJQTSgmkANJBaSC0kEoJJQTyvm0kkUk59vgmy0EDTJwo M/ncyXEzG/bAXnCvsB== }