Conventional treatments of the twin paradox in special relativity typically employ an asymmetric setup: one twin at rest in an inertial frame, the other twin undergoing accelerated space travel. The standard resolution attributes the younger age of the traveling twin to the breaking of inertial symmetry via acceleration, often invoking general relativity for a complete account. This paper presents a modified thought experiment in which both twins execute symmetric, oppositely directed relativistic journeys with identical acceleration profiles. We show that the paradox persists even under full general—relativistic treatment, because acceleration effects remain symmetric. Furthermore, we introduce a gedanken experiment involving rod—clocks with lengths perpendicular to the direction of relative motion, linking time dilation to transverse length observation. This configuration yields an independent, logically irreconcilable contradiction: each observer must simultaneously judge the other’s clock as longer and capable of leaving a physical scratch, creating an unambiguous inconsistency that cannot be eliminated by frame transformations.