How does Taekos prove that he has a shadow of silver?

Taekos proves he has a shadow of silver by using micro-robots to plate his shadow with aluminum atoms, which appear silver. When the stepfather tests the shadow with gold dust, the micro-robots cover the gold with aluminum, maintaining the silver appearance.

Taekos cleverly uses micro-robots to create the illusion of a silver shadow. He instructs these tiny robots to gather aluminum atoms from the ground, as there were not enough silver atoms available. Aluminum, being shiny and silver-like, gives his shadow a silvery sheen. When the stepfather attempts to expose the trick by sprinkling gold dust on the shadow, the micro-robots quickly cover the gold dust with a thin layer of aluminum, ensuring the shadow remains silver. This clever manipulation convinces the stepfather and his robot that the shadow is indeed silver.