I took a cutting from someone's houseplant and rooted it and planted it, but I don't know what kind of plant it is. It's doing well outside but I'll move it inside when cold weather hits. The leaves are almond shaped and I believe it had flowers when I had it in the house. Someone said it's an Oyster plant but the pictures I looked at don't look like those. The leaves are purple and look like they should be fuzzy but instead they are kind of thick and rubbery. Any idea?
It looks like Tradescantia purpurea. It's not possible to tell how tall your plant actually is from your photo, but this plant only gets around 7 inches tall and tends to spread sideways, eventually trailing or sprawling. It is frost tender, and can be used as a border or container plant during the summer months. Image and information on plant care here https://www.gardenia.net/plant/Tradescantia-pallida-Purple-Heart