added the burning ship fractal, anti aliasing, and completely overhauled the color system to use a gradient input instead of one color.

burning ship fractal:
 
so the burning ship fractal is made when you take the mandelbrot equation, but you take the absolute value of the real and imaginary parts before squaring, basically destroying the symmetry:
 
𝑧ₙ₊₁ = (|𝑅𝑒(𝑍ₙ)| + 𝑖|𝐼𝑚(𝑍ₙ)|)² + 𝐶
 
this makes it look super duper cool (as seen in the image below)

gradient-based color mapping
 
so before, the color was just calculated using one color tint and boosting brightness quadratically near the edges.
 
now, it takes in a gradient (calculated between 4 color inputs), and does the same color mapping but essentially moves what color it uses as the iterations increase.
 
the hard part is figuring out how to get a good input system in qml with this, but I was able to do it using some colordialogues and a lot of trial and error.
 
the new color input system is kinda like creating a gradient in photoshop or illustrator, with 4 little handles that you can drag across and change their colors.

anti aliasing
 
also added anti aliasing, or more specifically, ssaa (super sampling anti aliasing), with a selector to choose between off, 2x, and 3x
 
so basically it renders the entire fractal at a higher resolution (2x or 3x) and then averages the color of every pixel block (2x2 or 3x3 respectively) and then displays that. this results in a much, much smoother image at the cost of much higher resource usage.
 
while i was screwing around with dynamic resolutions, i also added a resolution slider to change the rendered resolution to anywhere from 25 to 150% of the window resolution. turning it up past 100% basically just gives the ssaa architecture more information to work with, making it even smoother
 
my graphics card isnt very powerful and it basically stays pinned at 99% usage and 100% clock when i have anti aliasing turned on and the iterations above like 200.
 
image: burning ship fractal, rendered at 4k with 150% resolution scale and 3x ssaa