There is a purple plant with small flowers in my home, which is still growing down. I don't know what that is.

Commelina communis (Latin name: Setcreasea)

alfalfa

Boom ), also known as Zizhumei, Zisanye and Zijincao. , a perennial herb of Commelina, with a plant height of 20-30 cm, oblong leaves, slightly curly, purplish red and fine villi. Stems purple-brown, initially erect, semi-tendril after elongation, prostrate. Flowers in spring and summer are pink, with varieties and white stripes on their leaves. These flowers are small and white, and they bloom in summer and autumn. In the case of sufficient sunshine, the amount of flowers is large.