VAA Academy

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Course description: Ultra Fractal Formulas 1



Prerequisites:

UF 3 or 4 installed
Completion of "Working with Ultra Fractal" course or have an authorization number from the instructor.


Writing Ultra Fractal Calculation Formulas

1.   Introduction

   ºWhat's a formula? Types of formulas
   º Program flow—how are formulas used
   º Where to find formulas—the public database
   º Formula titles and identifiers

2.   A Little Math

   º Review of arithmetic operations
   º Coordinate geometry
   º Analytic geometry
   º Complex number arithmetic
   º Mandelbrot set iteration
   º Comparing orbits and the associated fractal image

3.   The Anatomy of a Calculation Formula

   ºExample: the Mandelbrot set
   ºFormula structure
   ºVariable declarations & initializations
   ºThe Loop section
   ºBailout
   ºModifying formulas

4.   Escape-time Formulas

   ºJulias and switch mode
   ºOther escape time/divergent formulas
   ºConvergent formulas (e.g., Newton, Nova)

5.   Other Formula Types

   ºPopcorn/Gnarl/Carmelcorn
   ºVortex/Science
   ºPixel
   ºEmbossing and other specialized formulas

6.   Publishing your Formulas

   ºHave an idea!
   ºTesting (alpha-, beta-, gamma-tests)
   ºBackwards compatibility
   ºDefault parameters
   ºCommenting
   ºHelp files
   ºAdding to the database






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