No, not a vinca for sure. It isn't a ground cover from what I saw. also, the stems are very soft and the color of the leaves (very pale green).
What about peperomia? Perhaps peperomia magnoliifolia variegate.{how good is that?} This is mine in the shadehouse in a pot, makes a very nice pot plant in shady areas....outside. Peperomia ( photo / image / picture from chocolate's Garden )
Tina, There is a half-hardy vinca that has two toned leaves & soft stems like yours. It looks very different from the typical vinca grown as a ground cover. Most people use the variegated one in containers as a plant that will "drip" over the edges for good effect. Are you sure your plant is not one of those?
I think it is vinca, too. Mine came from a mixed pot of flowers a few years ago. I thought it was wonderful until it wintered over and took hold in a flower bed. Mine has a periwinkle blue flower on it. http://classygroundcovers.com/product/1 ... 1-2-in?aff
Knowing where it came from would help. The ragged edges don't look like Vinca to me, though in general it looks like something's been chewing on this plant, so could just be from that. Aptenia would be a plant to compare it to.
How about this. Pepperomia a thicker textured leaf and vinca has a thin paper leaf that could crack if you bend it......
It came from the side walk Barbs comment "Pepperomia a thicker textured leaf and vinca has a thin paper leaf that could crack if you bend it......" makes me think it is a pepperomia. Here is another picture of the stem that I took this morning : ( photo / image / picture from Tina's Garden ) I saw many such plants in the same area. So seems to be spreading. It was in the partial shady area - but not in the concrete sidewalk. It was in the soil.
Hmmm....It doesn't look like a vine in that last photo. It looks like it has a stem that can support the weight of the leaves. Maybe not the variegated vinca after all.
That is exactly how vinca major looks and how it grows. yours looks as if it had a little damage as it was emerging. it is probably stockier than you are expecting it to be since it is growing out of a crack in the concrete. the slower it grows the stockier it will be. definitely not a pepperomia. Pepperomia is a house plant for our climate. vinca major: in flower ( photo / image / picture from carolyn's Garden ) soft new growth ( photo / image / picture from carolyn's Garden ) Pulled from the ground. It has a slightly thick stem ( photo / image / picture from carolyn's Garden )
From all the suggestions, and looking those up in the net - I think it is a Euonymus. It does feel like a succulent.