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open triangle 

a sexual relationship involving three persons, two of whom never have sex with EACH OTHER. For example, in a heterosexual triangle M-F-M, the two men have sex with the woman but never with the other.

See closed triangle.
A famous example of an open triangle was that involving Manuel de Godoy, Queen Maria Louisa, and King Carlos IV . In exchange for servicing two of the most repulsive people in Europe, Godoy made an enormous fortune and became the effective ruler of Spain.

The relationship was an open triangle because the king and queen found each other unbearable.
open triangle by Abu Yahya March 21, 2010

Open Triangle 

On Snapchat when someone opens your snap and doesn't reply. An open triangle appears next to their name and you are filled with a feeling of rejection.
"Man I never snap Landon anymore, he always open triangles me."
Open Triangle by XxOMGxX May 27, 2015

Open-triangle 

When you ignore another person's snap.
Dude this kid keeps on sending me stupid snaps I got no choice but to open-triangle
Open-triangle by fivesome August 14, 2016