Escherian Nightmare

My first fractal flame. A tesselated impossible triangle. Very Escher like.

Credits
This fractal is heavily based on the Impossible fractal created by tatasz which I really liked. I had one suggestion though how it could be further improved. Before I knew it, tatasz tricked me into taking this task upon myself by claiming it could not be done. This required me refreshing my knowledge on fractals and learning to use Apophysis, both very fun. The resulting image resembles the original by tatasz closely. The main difference is that the layout of the triangles is now such that edges of the same color do not touch anywhere. Despite the similarities of the resulting fractals, the sources are quite different. I recreated the fractal from scratch and used a different approach. For example, this fractal is created using 25 transforms (9 basic shapes, and 16 subsequent transformations) whereas the original used 32 transforms (27 basic shapes and 5 subsequent transformations). Anyway, thanks to tatasz for inspiring me to create fractal flames. This certainly won't be my last!

Source
<flame name="Triangles-v23" version="Apophysis 7x Version 15B" size="800 600" center="0 0" scale="320" angle="-0.523598775598299" rotate="30" oversample="2" filter="0.02" quality="1" background="0 0 0" brightness="1" gamma="30" estimator_radius="9" estimator_minimum="0" estimator_curve="0.2" enable_de="0" plugins="" >
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  <xform weight="2" color="0.5" symmetry="-1" square="1" coefs="1 0 0 1 0 0" post="1 0 -1 1.732051 1 1.44338" chaos="0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="square 3"/>
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  <xform weight="2" color="0.5" symmetry="-1" square="1" coefs="1 0 0 1 0 0" post="2 0 -0.5 0.866025 0.75 -0.721688" chaos="0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="square 5"/>
  <xform weight="0.5" color="0.5" symmetry="-1" starblur="1" coefs="1 0 0 1 0 0" post="0.576 0 0 0.576 1.5 0.288675" starblur_power="3" starblur_range="0.5" chaos="0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="triangle 1"/>
  <xform weight="0.5" color="0.5" symmetry="-1" starblur="1" coefs="1 0 0 1 0 0" post="0.576 0 0 0.576 -2.5 0.288675" starblur_power="3" starblur_range="0.5" chaos="0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="triangle 2"/>
  <xform weight="0.5" color="0.5" symmetry="-1" starblur="1" coefs="1 0 0 1 0 0" post="0.576 0 0 0.576 -0.5 -3.17543" starblur_power="3" starblur_range="0.5" chaos="0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="triangle 3"/>
  <xform weight="0.5" color="0.5" symmetry="-1" starblur="1" coefs="1 0 0 1 0 0" post="0.288 -0.498831 0.498831 0.288 -0.5 -0.866025" starblur_power="3" starblur_range="0.5" chaos="0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="triangle 4"/>
  <xform weight="1" color="0.5" linear3D="1" coefs="1 0 0 1 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="unit shape"/>
  <xform weight="1" color="0" linear3D="1" coefs="-0.5 -0.866025 0.866025 -0.5 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="rotate shape CW"/>
  <xform weight="1" color="1" linear3D="1" coefs="-0.5 0.866025 -0.866025 -0.5 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="rotate shape CCW"/>
  <xform weight="1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 0 6.35085" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 " opacity="0" name="post triangle"/>
  <xform weight="1" color="0" symmetry="1" linear3D="1" coefs="0.5 -0.866025 0.866025 0.5 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 " opacity="0" name="rotate triangle CCW"/>
  <xform weight="1" color="0" symmetry="1" linear3D="1" coefs="0.5 0.866025 -0.866025 0.5 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 " opacity="0" name="rotate triangle CW"/>
  <xform weight="1" color="0" symmetry="1" linear3D="1" coefs="-1 0 0 -1 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 " opacity="0" name="flip triangle"/>
  <xform weight="1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 0 0" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 " opacity="0" name="unit hex"/>
  <xform weight="1" color="0.125" linear3D="1" coefs="1 0 0 1 0 -19.0526" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 " opacity="0" name="hex up"/>
  <xform weight="1" color="0.875" linear3D="1" coefs="1 0 0 1 0 19.0526" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 " opacity="0" name="hex down"/>
  <xform weight="0.1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 16.5 -28.5788" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="1" name="up right"/>
  <xform weight="0.1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 -16.5 28.5788" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="1" name="down left"/>
  <xform weight="0.1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 -16.5 -28.5788" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="1" name="up left"/>
  <xform weight="0.1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 16.5 28.5788" chaos="0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="1" name="down right"/>
  <xform weight="0.1" color="0" symmetry="1" linear3D="1" coefs="1 0 0 1 0 0" chaos="1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 " opacity="0" name="end"/>
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</flame>