A fundamental concept in physics of polarization propagation of electromagnetic waves is newly understood as a cardinal keyword in quantum cryptography transport technology and cosmology. Recently, interactive visualization of the propagation mechanism of polarized electromagnetism in a medium with helicity has received attention from scientists in the age of information and communication. This study presents a new dynamic polarization platform that manipulates the polarization mode train of a transverse electromagnetic wave by using calculations with Jones vectors in the symbolic program Mathematica. The train of polarization modes is converted continuously through a desirable lineup of optical elements in the platform. The platform simulates a propagation process that satisfies Maxwell’s two vector equations precisely with helicity in the vectorial nature of the electromagnetic wave.