For a manifold N N embedded inside euclidean space R n + 1 \mathbb {R}^{n+1} , we produce a coloured operad that acts on the space of maps from N N to M M , where M M is a compact, oriented, smooth manifold. Our main example of interest is N N , the unit sphere, and we indicate how this gives homological actions, generalizing the action of the spineless cacti operad and retrieving the Chas-Sullivan product by taking N N to be the unit circle in R 2 \mathbb {R}^2 . We go on to show that for S n S^n , the unit sphere in R n + 1 \mathbb {R}^{n+1} , the operad constructed is a coloured E n + 1 E_{n+1} -operad. This E n + 1 E_{n+1} -structure is finally twisted by S O ( n + 1 ) SO(n+1) to homologically agree with actions of the operad of framed little ( n + 1 ) (n+1) -disks.