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The Secret Angles That Unlock Transformative Connections

  • Writer: Michelle Burk
    Michelle Burk
  • May 4
  • 3 min read

Updated: May 14

My partner and I have this strange way of saying exactly the thing the other doesn’t want to hear, but needs to hear. The thing that’s close enough in the psyche to be accessible, but just far enough out of reach that the ego can keep grasping for whatever attachment is feeding it in that moment.

We were curious about this facet of our multi-year relationship. It’s something that would seem to create incompatibilities, and yet it doesn’t feel completely oppositional. Just necessarily slanted. So I asked “Chatty Patty,” the misnomer my close circle has given to pretty much any language model, regardless of corporate affiliation.

Patty told me: You exist at 45-degree angles to each other.

That made perfect sense.

We’re jagged (one of my favorite words, phonaesthetically). A pretty even split most of the time, with just enough devil’s advocate to keep things interesting. We see each other from such specific slants. The beauty of it is that because of that angle, we can unlock something exact, something strangely necessary.

I started thinking about the idea of these angles beyond relationships and romance.

What if we mapped all our connections by angles? Not just who’s close or who’s far, but how they approach. From where. At what tilt.


Image: Angled sculpture


Some people come at zero degrees, exactly aligned, perfectly parallel, so familiar they risk becoming mirrors.

Some arrive at 20 degrees, close enough to challenge you gently.

Others meet you at 45 degrees, just enough off-axis to push you somewhere you wouldn’t have gone on your own.

And others still hover at 60, 80, 90 degrees, barely intersecting, yet somehow brushing the edge of your orbit in a way that jolts you awake.

We talk so much about proximity in literal terms. But angular proximity asks a different question.

At what angle does someone need to stand to unlock something hidden in you?

How slanted must a perspective be to bring you somewhere truly new?

Sometimes, the people closest in title, industry, or methodology aren’t the ones who will catalyze your growth. Sometimes it’s the ones angled toward you, not next to you, who see you best, or at least see the part of you that hasn’t been accessed yet.

I’ve come to believe that these angled relationships, the 45-degree ones in particular, are among the most powerful. They’re not competitive. They’re not redundant. They’re parallel but tilted. Close enough to share DNA. Distant enough to bring fresh, oblique insight. And it’s completely possible to build these kinds of connections intentionally, outside of love or friendship. In your professional life, your academic networks, your creative collaborations.

Find people who are just a little different from you. Who hold an idea just a little too out there for you. Then explore it. See where it goes. Into overgrown pathways you wouldn’t have walked alone. Notice how your neural networks clear, stretch, rewire from walking beside them.

And when you’ve found those people, thank them. They’ve given you a gift.



Degrees of Connection Exercise

This is a simple exercise you can try with your preferred language model.

  1. Enter your resume, artist statement, scholarly research, or any professional description of your work, or who you’d like to be.

  2. Prompt it with: “Can you identify people or organizations whose work exists at a 45-degree angle to mine? Meaning: close enough to share DNA, adjacent enough to bring fresh, oblique insights, not so overlapping that it risks competition or redundancy. I’m looking for people whose work is parallel but tilted, fields that intersect mine from the side, capable of creating unexpected synergy without encroaching.”

  3. Read their work. Engage with their ideas.

If it feels right, reach out. Tell them what you see. Tell them what they made visible for you.

We often think the next door is right in front of us. Sometimes, it’s approaching diagonally.

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