The logo

At the heart of Problem Traversal Theory is my novel definition for Problem.

A problem is when a sentient entity desires a thing to transition from a current state to a new state against resistance.

Conceptually, a thing has an unlimited number of potential states at all times, but it requires a sentient entity to specifically desire one of them for a problem to exist.

This invisible fractal of a thing’s current and potential states is what I call the Substrate.

This is the substance all problems are born from as desires emerge and die on as desires fade.

The icon

The icon is a diamond with equilateral triangles on all sides.

The whole illustration and each element in it all have meaning associated with the theory.

• The entire icon is a visual representation of the Substrate, the substance all problems exist on and resembles a compass and a d-pad, both instruments used for traversal.
• The dark grey Southwestern triangle represents the current state of the thing.
• The pink Northeastern triangle represents a sentient being’s desired state of the thing.
• The light grey Southeastern and Northwestern triangles represent 2 undesired potential states of the thing.
• The dark grey diamond represents a thing’s transition against resistance (a child problem) to get from its current state to the desired one.

Initially, the icon continued the pattern of diamonds and triangles just like the Substrate continues, but the logo icon was simplified to accommodate different media sizes.

Now the intent is to use the extended pattern throughout the book as part of the visual brand.

The family tie

My son and I have made this exact pattern using Geosmart magnetic toys for years.

A few days ago while we were building, I saw the connection to Problem Traversal Theory and decided then that the diamond and equilateral triangle should be a prominent pattern in my book’s branding.