A line
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Yes, a ray has only one endpoint.
A ray can be described as the half line with designated end point which extends in only one direction without stopping.
Such a figure cannot exist. If it goes on forever in only one direction then it must have an end point.
a ray
A line (2D), ray (2D), vector (2D), line segment (2D), a mobius strip (3D), or a klein bottle (3D).