Interplay of Silver-Mean Quasiperiodicity and Weyl Semimetal Phase in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>WTe</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> </mml:mro

We investigate the intercalation of epoxy resin into a Weyl semimetal, WTe_{2}, by using a scanning tunneling microscopy. We show that intercalant molecules have self-similar height variations with the silver-mean quasiperiodicity and also that they create phason and soliton defects to yield a mean coherence length of 15 sequential order. In addition, we unravel that weak quasiperiodic potentials imposed by the intercalation layer drive a WTe_{2} surface to have an enhanced conductance near the Fermi level while keeping its semimetal phase, providing a direct verification of theoretical prediction.