The following assumes that you already have basic familiarity with Photoshop and with playing, modifying, and creating Photoshop Actions. If you do not, here are some links to resources via Adobe:
The Photoshop Actions provided here demonstrate how to use generative design methods inside of Photoshop – without having to write any code.  The actions are meant to be used as tools that can be modified, combined, extended, and shared.
Each action demonstrates a generative process such as randomization, repetition, or recursion. The screenshots below show example results of each action (note which action is highlighted in each image.) 
Please note that Photoshop Actions are not typically used as a design tool and this is not the intended functionality. Actions are meant to automate batch formatting of images, or to create simple special effects. Despite the limitations, a surprising degree of complexity can be achieved with actions by applying Generative Design processes.
Random Shape Generators
How to use noise filter to generate random shapes.
Random Colors Generators
How to use noise filter to generate random colors.
Shapes Generated From Shapes
Actions with Brushes for Randomization
Combining brushes with actions is a powerful way to generate random shapes and colors.
Using Content-Aware Fill for Randomization
L-Systems & Recursion
Demonstrating how to create basic fractal patterns using simple transform.
Fluid Simulation using Wave + Displacement Filters
Repeating these actions many times creates the appearance of a fluid movement.
Recursive Displacement – Using an image to displace itself.
When repeated many times, this technique begins to resemble gravity-based particle simulation. 
Reaction-Diffusion Growth Patterns
Demonstrates a simulation of growth patterns through repetition of actions.
Randomized Mold Growth Simulation
This simulation requires a specific balance of effects, making it difficult to modify, but the effect is surprisingly powerful.
Voronoi Patterns using Actions + Brushes
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