Incredibly delicious and absolutely my kind of fractal - though I don't make them all the time. Trapinksky is definitely in the family of Sierpinsky - my fractal formula writing hero!!! Wicked detailing!
Trapinski is one of the fractal formulae in Ultra Fractal. What one does with the formula determines what the fractal will look like; this one has a sort of industrial 3D look. There are many layers and masks and the coloring I used plays a big part as well.
As far as whether Trapinski is somhow related to Sierpinski, I really don't know, but the 'pinski' part sort of lends itself to that interpretation, doesn't it?
It's a long story what UF does, but essentially it takes a fractal rendering program and combines it with what are basically Photoshop elements. This gives the layering and masking capabilities and gives the user an enormous amount of control over what is produced. It's very cool.