It does not grown up taller like weed. It stays very short like in the picture.
I will take a better picture. I saw pictures online of the ones you guys suggested, but the one that I have in the yard do not grown tall. It stays that size.
Is still not Dichanthelium. the one you showed the pictures is not grown yet but it becomes a lot taller than the one I have in the yard. Mine stays that height.
Maybe a tradescantia of some sort? looks a bit like a washed out shorter 'purple heart', but not quite right. Has the hairy leaves tho.