You have done your imagery very well. I will wait and see what comes next. — jgill

I understand that you prefer not to lead the conversation, but I want to sincerely thank you for asking thoughtful questions that have helped me better articulate my perspective. I hope it's now in a form that TonesInDeepFreeze will be willing to engage with.

@TonesInDeepFreeze, would you consider taking a look at my recent message to jgill? The graph I described there represents a k-continuum, partly because it is a planar graph. For instance, if there were an edge connecting vertex 1 to vertex 8, it would no longer be planar and, therefore, wouldn't describe a k-continuum.