Wandering Jew / Inch Plant (specifically a mix, including 'Tradescantia zebrina' and likely a variegated 'Tradescantia fluminensis')
Tradescantia zebrina (and likely Tradescantia fluminensis)
The image shows a combination of plants, but prominently features 'Tradescantia zebrina' (Spiderwort or Inch Plant) identifiable by its distinct purple and silver-striped leaves, and 'Tradescantia fluminensis' (Wandering Jew) or a similar variegated Tradescantia species with green and cream/yellow striped leaves. These are vining plants, often grown as hanging plants, with relatively soft, succulent-like leaves.
Learn more about Wandering Jew / Inch Plant (specifically a mix, including 'Tradescantia zebrina' and likely a variegated 'Tradescantia fluminensis') in the encyclopedia →Care instructions
Tradescantias thrive in bright, indirect light; direct sun can scorch the leaves but too little light can reduce variegation. Keep the soil consistently moist but not waterlogged. Allow the top inch or two of soil to dry out between waterings. They prefer high humidity but adapt well to average room humidity. Pinch back the stems regularly to encourage bushier growth and prevent legginess. Fertilize lightly during the growing season (spring and summer) with a balanced liquid fertilizer.