The Triangle System
The triangle system in no-gi grappling: the arm-in-neck leg configuration as strangle across guard, mount, side, back, and turtle. Unified geometry…
Adapted from InGrappling, The Triangle System. System Games did not invent this curriculum.
Submission SystemDevelopingCONCEPT-SUB-TRIANGLE-SYSTEMArm-in-neck geometry across guard, mount, side, and back — one lock, many entries
The triangle system is one of the six submission hubs in this framework. Its unifying geometry is the figure-four leg lock closing around the opponent’s neck with one of their arms trapped inside the enclosure. The strangle is an arm-in strangle — the trapped arm’s shoulder becomes the compression surface against one side of the neck, while the attacker’s far thigh is the compression surface on the other side. strangle both sides simultaneously — strangles require compression on both sides of the neck simultaneously — is satisfied by this arrangement.
What makes this a system rather than a single submission is that the leg configuration applies across radically different positions. The triangle from guard, mounted triangle, side triangle, reverse triangle, and back triangle all use the same geometric relationship. The position determines the entry and the control dynamics; the geometry determines the finish. A practitioner who understands the geometry finds that an attack blocked from one position can be reconstituted from the next position they transition to, without changing the finish mechanics.
strangle both sides simultaneouslyStrangles require compression on both sides of the neck simultaneously.
The triangle satisfies this invariant through a specific geometric arrangement: the trapped arm’s shoulder presses one carotid from inside; the attacker’s far thigh presses the other carotid from outside. A triangle lock that feels tight but fails to strangle almost always has the arm positioned incorrectly — typically the trapped shoulder is not pressing the carotid, only the jaw or mandible. The geometry is not approximate.
arm-out vs arm-in stranglesArm-out strangles apply force more directly; arm-in strangles must compensate.
The triangle is the canonical arm-in strangle. Because the arm is inside the loop, the compression must come through the arm rather than directly onto the neck. The triangle compensates by using the angle of the finish (cutting to the angle, pulling the head down, squeezing the knees) to force the opponent’s shoulder into their own carotid. Without the angle, the arm-in strangle does not achieve adequate compression.
rotation around a fixed pointRotation around a fixed point creates leverage.
The triangle finish rotates the attacker’s body relative to the opponent’s trapped upper body. The ankle of the locking leg is the fixed point; the attacker cuts their hip across to achieve the angle. The rotation transforms a loose triangle lock into a tight strangle. Without the rotation, the legs may be locked but the angle is wrong.
control the secondary anchorThe secondary anchor must be controlled or removed.
The triangle’s secondary anchor is the opponent’s free arm, which they use to push the attacker’s thigh off their neck. The system handles this through the same-side arm pull, the wrist control, and — when the arm cannot be broken — transition to a different triangle variant (reverse, opposite) where the free arm’s leverage is changed.
SUB-TRI-STDTriangle (Standard)The canonical finish from closed guard — one arm in, one arm out, angle cut to the arm-out side.
SUB-TRI-MOUNTMounted TriangleSame geometry applied from mount — the attacker is on top; the rotation is vertical rather than horizontal.