The second type of plug-in is “Combo.” It allows combinations such as (f1+f2)/f3 or f1(f2)). The latter means evaluate f2 to get a new value, then use that value as input to f1. The following example starts with Perlin 3D noise, followed by repeats of a Combo of Mandelbrot, Mandelbar, and Function.

D-N-CMM'F-J {
::q3UZWin2deVwutNOQ07Gw/DC6y2uLstIVkVdXwLJF5QQTxCk90iFwgiiyibpIVpoTq7X/OSU
  xJO2OS0niDn3bmh0vZ8MFGKzSlfe6kgArwK5kwvM7bzu5+7/tbndXYwTicbJJNJKokL2UaJL
  jiCk0dcTDB1SiZ45CbDJ8ORVw1yt8/8TLQ4F4I0qwpT6Q25cGt2K0KS41U233Y0bV5hB6aKT
  Y3RQgTr42SdOpar0KqpNNTnURrrFqNO6cllbIoFzimjCqobUko5JTnUoNADaHmK6PFtgwQ2W
  zNsSO77EdRRQhQyV0K4u9fys5bLqCbhDe0sjE+goqWyf4JhlVerzbhB1rrXXpz5Ele/nRkd8
  mWitH0YpGLBNHjXENPC5OjzzbPKp9IHw+07GJch6juM7z391rX7C4N6qMd4xYn/46NcF3IYd
  vNHZs/fbNeSyNdXqmuYcaP4sxaj/Z8Ccl0PBPnRLiO2UFVlv7lHk3Y196cSidPSzcvSngbx6
  H6/SAd471fxNShK+LfTLa4PjJ899whviDi95PPKwu85gsZE8cSEc8VJLTXNAWNUY+IvvM7dw
  VY4/YLXxaLjGK8WDXtBKohioBgCFQNiGL4XurS7dR/rfRGK21rLFQBFIZeLKFiE/ukxHKF6K
  aGnEA7hEA7jEoF8B5xIYoN5cTMJsABN+QBfoAD/FHUE/xhuEntq4eoMkLzMarDw/26IXDsx4
  Mveduwil3S8tps3uot9S+Za9ceOueZ4F+EJIz8Cfmn+veNdNjKZeGmWaaZeb/VvY1V/p0DpS
  rRkZDAgSC/9xrZxnUzSN9270sjVyivQJL+Sls4Xks7zYf9g/KW8FpYxeqYxgi1P8XkiFfRKW
  sHKWMl8HDDKzLVb8hq2b3qYj93celTuQ5a8lKXbJ+6U9ZyFjjcBpRoK9IawPI5jUAIg9kQmn
  4fZOjTOaa2fvrGWE4fCyFPyNb4NhHjp30ZnLmpVOAwc+RRwkUCVDET3SUGqqpAKcVaFf6E9W
  7xmgBH5UzrWL5BL0hhaynvlJD3vYSlWbL72F5wOBZUhE8LBxXOdyGDNXAM6iQTHluZsgffl2
  tw1s04AB0/6nkVXFw0SNsF1y00U0q0+zRfqb8LntriTTT6NgXuq/0EEu/sZpP7llJJJxr2fu
  b4z+AEHHDT5ih7vbDvXndwKVOKR73/DnADY+/A/xs7P=
}

These plug-ins are nestable. In the final example, the main formula is Combo, f1 is Mandelbrot, and f2 is the Two Formulas plug-in. In the Two Formulas plugin, the first formula is a Combo of Function and Lambda, and the second formula is Poly Newton.

D-P'-C2FL-M2 {
::IIKK9gn21q1yutNOU09Gw/DCaz8owxikxy2dA300JLKSHEg0VFDgBtElNnhSUQiup+vvkUKP
  kstE1DnNxR8cOk8Seu8aqElRCkE+HnOxxRykcK29zze83mdH8+Hm9VorzzsQ5e8KPPn9U2u9
  Ssv6jcyRaWOGoZFkRDZycs7XYxOfifg+XrmDgzheg1uOkEJjwZkcWyO8Ra+0JGqmuLgkKZiE
  s7D6H5AcdEpkAm8IGo6iYqcvIEHfgLZpkcFzYSaqSmCu0EJNDPz7GP4q5K0kdJYfV3tTNDAr
  8mOJSkp4SMojJ/kphjQr9dSpZB7pB/PWEF5Ex40ESsaW/f8t3cIK2VjXJe2Rs7Ts4UO9pnZy
  g93XInrT6m0NxiQKOR86nBFTNHzDylkMZxIDqCbeqfBnr/TP4y1mfWuqAIlGawBWMX3sHoQi
  yR+dc1succx3+xv8wn2UMUuTEvV4eK2b+xmd0EaGLwEAPpxy/U34ZJnbmu5m+48KU0Wgu/vg
  Kq5l4ZVk2bu3pNFTSCP+WoqWrFxtzSsISBuBqCUnhb0mnKXeAVjXPK4H/H6zSRyLAcbme1QY
  rYf5zWB+0BjF00xT+xNyjpU8j6Ibr4Dp7yoUMqVgEPdwudYA7gBtDGCDsB2t2p2C7g5bHsl2
  BbldwWbZ41ulhCbFyCk6MdFbYK2t1+QgnunYxySukma1q3emK9oymXHVCADakMsq91kozOnL
  sDOXYXcuawVGHWwQkFSzQY3Ig6ENgTEstx+FTg9VVGTKfbmQWA4f1CVcKkNi1pgSPTtVnY9h
  cnlQfSQ4FOl4ycszfUlV7b6rifbHxrsWbCI8geQTwDbNtA8C2u22dmCwfoFAE8HsurrZa/8B
  C3WPbf9v92LXl47Hqdk8Fds6cFGXqoPBhh7dHFfcdRqlA0M/6tcnkd0IXfjSnsQYU7lVj7Pk
  EM01hTWTM9wAXYOZRyI6QXpqqqaybUNo+egohpcEOQkPCjQ1KGYexepxQN4YqW3S1fZdMZlL
  2wcuKisyvozX3XvmOVu7v78HDfzP8M2rHIxbDJjnBDeNMYwriBTrqa6bU9dxgRSbTNQGt7Uh
  QNJoqApy4KYU2bXVTMckkUVxkRyuW2UzaWs63xaqaSyRwVDVOz/0t3Gb42BQ/tPju6naiuGm
  a0VxUjuanaiGpTNRj6pmoR9UT0IdqJqv+r0NtfDD29lY03Vnp/7ytHCH9vbzo89cqKStbhs0
  3PEN72VU2kOWd1lNJgFXpZj0BDjOcY0R929At7KTbk+ihR3fY0XOM6rGG91Dcbzw2219ruqu
  C1uyXjpOpnTGruM4LrgVXScTDALvFra59htm33yCu6chVoqnc0vanQ98ICUfPWosSn+VkTXL
  mpsoluM6M1l0FCb7I+G3oluZ730uJ3v7Ey+BNbHN39UMlNhB0bP/rCNQkUi4vn5PdCLJX1lF
  vp9MSSeky1nISoTnIOIftpQqCm8IG69GKuY37eT1PJJJhkswbOEwdf9dVHLEy9l74KyoANvK
  1tEGXpvaMc70J7yIhMFDTPlboYKwKTIJm3F/MgDLJk+TsP0JQwFZYAChAQEs85AffT1xFt5v
  c5Sw6lltBXsoshbRLXuo8pobBlPdB4FVmBfTE/FLWgWreQ5b//9jtERJBvX/fDQ1JTn8Lcfs
  WYC=
}

Experiment. Guessing what gives interesting shapes is difficult.
Use Explore on parameters, including repeats and values for divergence or convergence.
Uninteresting-looking Mandelbrot types often have more interesting Julia types, depending on the seed.

The second type of plug-in is “Combo.” It allows combinations such as (f1+f2)/f3 or f1(f2)). The latter means evaluate f2 to get a new value, then use that value as input to f1. The following example starts with Perlin 3D noise, followed by repeats of a Combo of Mandelbrot, Mandelbar, and Function. ```` D-N-CMM'F-J { ::q3UZWin2deVwutNOQ07Gw/DC6y2uLstIVkVdXwLJF5QQTxCk90iFwgiiyibpIVpoTq7X/OSU xJO2OS0niDn3bmh0vZ8MFGKzSlfe6kgArwK5kwvM7bzu5+7/tbndXYwTicbJJNJKokL2UaJL jiCk0dcTDB1SiZ45CbDJ8ORVw1yt8/8TLQ4F4I0qwpT6Q25cGt2K0KS41U233Y0bV5hB6aKT Y3RQgTr42SdOpar0KqpNNTnURrrFqNO6cllbIoFzimjCqobUko5JTnUoNADaHmK6PFtgwQ2W zNsSO77EdRRQhQyV0K4u9fys5bLqCbhDe0sjE+goqWyf4JhlVerzbhB1rrXXpz5Ele/nRkd8 mWitH0YpGLBNHjXENPC5OjzzbPKp9IHw+07GJch6juM7z391rX7C4N6qMd4xYn/46NcF3IYd vNHZs/fbNeSyNdXqmuYcaP4sxaj/Z8Ccl0PBPnRLiO2UFVlv7lHk3Y196cSidPSzcvSngbx6 H6/SAd471fxNShK+LfTLa4PjJ899whviDi95PPKwu85gsZE8cSEc8VJLTXNAWNUY+IvvM7dw VY4/YLXxaLjGK8WDXtBKohioBgCFQNiGL4XurS7dR/rfRGK21rLFQBFIZeLKFiE/ukxHKF6K aGnEA7hEA7jEoF8B5xIYoN5cTMJsABN+QBfoAD/FHUE/xhuEntq4eoMkLzMarDw/26IXDsx4 Mveduwil3S8tps3uot9S+Za9ceOueZ4F+EJIz8Cfmn+veNdNjKZeGmWaaZeb/VvY1V/p0DpS rRkZDAgSC/9xrZxnUzSN9270sjVyivQJL+Sls4Xks7zYf9g/KW8FpYxeqYxgi1P8XkiFfRKW sHKWMl8HDDKzLVb8hq2b3qYj93celTuQ5a8lKXbJ+6U9ZyFjjcBpRoK9IawPI5jUAIg9kQmn 4fZOjTOaa2fvrGWE4fCyFPyNb4NhHjp30ZnLmpVOAwc+RRwkUCVDET3SUGqqpAKcVaFf6E9W 7xmgBH5UzrWL5BL0hhaynvlJD3vYSlWbL72F5wOBZUhE8LBxXOdyGDNXAM6iQTHluZsgffl2 tw1s04AB0/6nkVXFw0SNsF1y00U0q0+zRfqb8LntriTTT6NgXuq/0EEu/sZpP7llJJJxr2fu b4z+AEHHDT5ih7vbDvXndwKVOKR73/DnADY+/A/xs7P= } ```` These plug-ins are nestable. In the final example, the main formula is Combo, f1 is Mandelbrot, and f2 is the Two Formulas plug-in. In the Two Formulas plugin, the first formula is a Combo of Function and Lambda, and the second formula is Poly Newton. ```` D-P'-C2FL-M2 { ::IIKK9gn21q1yutNOU09Gw/DCaz8owxikxy2dA300JLKSHEg0VFDgBtElNnhSUQiup+vvkUKP kstE1DnNxR8cOk8Seu8aqElRCkE+HnOxxRykcK29zze83mdH8+Hm9VorzzsQ5e8KPPn9U2u9 Ssv6jcyRaWOGoZFkRDZycs7XYxOfifg+XrmDgzheg1uOkEJjwZkcWyO8Ra+0JGqmuLgkKZiE s7D6H5AcdEpkAm8IGo6iYqcvIEHfgLZpkcFzYSaqSmCu0EJNDPz7GP4q5K0kdJYfV3tTNDAr 8mOJSkp4SMojJ/kphjQr9dSpZB7pB/PWEF5Ex40ESsaW/f8t3cIK2VjXJe2Rs7Ts4UO9pnZy g93XInrT6m0NxiQKOR86nBFTNHzDylkMZxIDqCbeqfBnr/TP4y1mfWuqAIlGawBWMX3sHoQi yR+dc1succx3+xv8wn2UMUuTEvV4eK2b+xmd0EaGLwEAPpxy/U34ZJnbmu5m+48KU0Wgu/vg Kq5l4ZVk2bu3pNFTSCP+WoqWrFxtzSsISBuBqCUnhb0mnKXeAVjXPK4H/H6zSRyLAcbme1QY rYf5zWB+0BjF00xT+xNyjpU8j6Ibr4Dp7yoUMqVgEPdwudYA7gBtDGCDsB2t2p2C7g5bHsl2 BbldwWbZ41ulhCbFyCk6MdFbYK2t1+QgnunYxySukma1q3emK9oymXHVCADakMsq91kozOnL sDOXYXcuawVGHWwQkFSzQY3Ig6ENgTEstx+FTg9VVGTKfbmQWA4f1CVcKkNi1pgSPTtVnY9h cnlQfSQ4FOl4ycszfUlV7b6rifbHxrsWbCI8geQTwDbNtA8C2u22dmCwfoFAE8HsurrZa/8B C3WPbf9v92LXl47Hqdk8Fds6cFGXqoPBhh7dHFfcdRqlA0M/6tcnkd0IXfjSnsQYU7lVj7Pk EM01hTWTM9wAXYOZRyI6QXpqqqaybUNo+egohpcEOQkPCjQ1KGYexepxQN4YqW3S1fZdMZlL 2wcuKisyvozX3XvmOVu7v78HDfzP8M2rHIxbDJjnBDeNMYwriBTrqa6bU9dxgRSbTNQGt7Uh QNJoqApy4KYU2bXVTMckkUVxkRyuW2UzaWs63xaqaSyRwVDVOz/0t3Gb42BQ/tPju6naiuGm a0VxUjuanaiGpTNRj6pmoR9UT0IdqJqv+r0NtfDD29lY03Vnp/7ytHCH9vbzo89cqKStbhs0 3PEN72VU2kOWd1lNJgFXpZj0BDjOcY0R929At7KTbk+ihR3fY0XOM6rGG91Dcbzw2219ruqu C1uyXjpOpnTGruM4LrgVXScTDALvFra59htm33yCu6chVoqnc0vanQ98ICUfPWosSn+VkTXL mpsoluM6M1l0FCb7I+G3oluZ730uJ3v7Ey+BNbHN39UMlNhB0bP/rCNQkUi4vn5PdCLJX1lF vp9MSSeky1nISoTnIOIftpQqCm8IG69GKuY37eT1PJJJhkswbOEwdf9dVHLEy9l74KyoANvK 1tEGXpvaMc70J7yIhMFDTPlboYKwKTIJm3F/MgDLJk+TsP0JQwFZYAChAQEs85AffT1xFt5v c5Sw6lltBXsoshbRLXuo8pobBlPdB4FVmBfTE/FLWgWreQ5b//9jtERJBvX/fDQ1JTn8Lcfs WYC= } ```` Experiment. Guessing what gives interesting shapes is difficult. Use Explore on parameters, including repeats and values for divergence or convergence. Uninteresting-looking Mandelbrot types often have more interesting Julia types, depending on the seed.
 
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Thanks for the new formula, Jim, and for the sample parameters. It's always fun to have new toys to play with! smile

Thanks for the new formula, Jim, and for the sample parameters. It's always fun to have new toys to play with! :D

Chris Martin
Gallery: Velvet--Glove.deviantart.com

Currently using UF6.04 on Windows 10

 
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