CSC Squared – Whittaker Courtney

Works as if you took a cylinder of the pattern, cut it in half, then stretched it open to the left and right.

Creates a parallel pattern on either side, so it can be thought of as an adjustable 2 sided splits with a curvature stretching outward.


You can copy the code below into a custom_wf or custom_wf_full variation, or add it into the Custom Variation Loader

  JWildfire - an image and animation processor written in Java 
  Copyright (C) 1995-2011 Andreas Maschke
  This is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser 
  General Public License as published by the Free Software Foundation; either version 2.1 of the 
  License, or (at your option) any later version.
  This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without 
  even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 
  Lesser General Public License for more details.
  You should have received a copy of the GNU Lesser General Public License along with this software; 
  if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA
  02110-1301 USA, or see the FSF site:
package org.jwildfire.create.tina.variation;

import org.jwildfire.create.tina.base.XForm;
import org.jwildfire.create.tina.base.XYZPoint;
import static org.jwildfire.base.mathlib.MathLib.pow;
import static org.jwildfire.base.mathlib.MathLib.log;
import static org.jwildfire.base.mathlib.MathLib.cos;
import static org.jwildfire.base.mathlib.MathLib.tan;
import static org.jwildfire.base.mathlib.MathLib.M_PI;

public class CscSquaredFunc extends VariationFunc {
  private static final long serialVersionUID = 1L;
  private static final String PARAM_CSC_DIV = csc div;
  private static final String PARAM_COS_DIV = cos div;
  private static final String PARAM_TAN_DIV = tan div;
  private static final String PARAM_CSC_POW = csc pow;
  private static final String PARAM_PI_MULT = pi mult;
  private static final String PARAM_CSC_ADD = csc add;
  private static final String PARAM_SCALEY = scale y;
  private double csc_div = 1.0;
  private double cos_div = 1.0;
  private double tan_div = 1.0;
  private double csc_pow = 0.5;
  private double pi_mult = 0.5;
  private double csc_add = 0.25; 
  private double scaley = 1; 
  public void transform(FlameTransformationContext pContext, XForm pXForm, XYZPoint pAffineTP, XYZPoint pVarTP, double pAmount) {
  // csc_squared by Whittaker Courtney 8-7-2018
  // x,y variables
    double x = pAffineTP.x;
    double y = pAffineTP.y;        
  // final formulas
  // csc = 1 / cos(x) / tan(x);

    double csc = csc_div / cos(x / cos_div) / tan(x / tan_div);   
    double fx = pow(csc * csc + (M_PI * pi_mult), csc_pow) + csc_add;
 pVarTP.x += pAmount * x * fx;
 pVarTP.y += pAmount * y * fx * scaley; 
    if (pContext.isPreserveZCoordinate()) {
  pVarTP.z += pAmount * pAffineTP.z;
  public String[] getParameterNames() {
    return paramNames;

  public Object[] getParameterValues() {
    return new Object[] { csc_div, cos_div, tan_div, csc_pow, pi_mult, csc_add, scaley };

  public void setParameter(String pName, double pValue) {
    if (PARAM_CSC_DIV.equalsIgnoreCase(pName))
      csc_div = pValue;
    else if (PARAM_COS_DIV.equalsIgnoreCase(pName))
      cos_div = pValue;
    else if (PARAM_TAN_DIV.equalsIgnoreCase(pName))
      tan_div = pValue;
    else if (PARAM_CSC_POW.equalsIgnoreCase(pName))
      csc_pow = pValue;
    else if (PARAM_PI_MULT.equalsIgnoreCase(pName))
      pi_mult = pValue;
    else if (PARAM_CSC_ADD.equalsIgnoreCase(pName))
      csc_add = pValue;
    else if (PARAM_SCALEY.equalsIgnoreCase(pName))
      scaley = pValue;
      throw new IllegalArgumentException(pName);

  public String getName() {
    return csc_squared;



Download Summary

Sample image

Please credit and or link to this resource if you use them to create your images. For more information please read this
[bg_collapse view="button-blue" color="#f7f7f7" icon="eye" expand_text="Custom Variation Instructions" collapse_text="Hide Instructions" ]You'll need to either add a custom_wf or load the java file please see how to sdd custom variations.


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