A vaso-occlusive device, comprising: a wire having a primary configuration in a constrained condition; wherein the wire forms a secondary configuration in a relaxed, unconstrained condition, the secondary configuration comprising: a pyramidal portion comprising a plurality of distal coils wound from the wire, each distal coil comprising a winding forming a closed loop of greater than 360° wherein the winding has a perimeter which tapers outwardly from an interior of the pyramidal portion, and a transition segment of the wire between each distal coil and connecting each distal coil to an adjacent distal coil and each of the distal coils overlapping in a transition from one distal coil to an adjacent distal coil, the plurality of distal coils arranged in a pyramidal shape such that each coil lies in a different lateral face of the pyramidal shape; and a body portion proximal of the pyramidal portion, the body portion comprising a coil formed from the wire and extending proximally from the pyramidal portion characterized in that: the perimeter of each distal coil tapers outwardly from an interior of the pyramidal portion at an angle between 5 to 15 degrees; and each of the distal coils comprising from 1-2/3 turns to 2 turns. a wire having a primary configuration in a constrained condition; wherein the wire forms a secondary configuration in a relaxed, unconstrained condition, the secondary configuration comprising: a pyramidal portion comprising a plurality of distal coils wound from the wire, each distal coil comprising a winding forming a closed loop of greater than 360° wherein the winding has a perimeter which tapers outwardly from an interior of the pyramidal portion, and a transition segment of the wire between each distal coil and connecting each distal coil to an adjacent distal coil and each of the distal coils overlapping in a transition from one distal coil to an adjacent distal coil, the plurality of distal coils arranged in a pyramidal shape such that each coil lies in a different lateral face of the pyramidal shape; and a body portion proximal of the pyramidal portion, the body portion comprising a coil formed from the wire and extending proximally from the pyramidal portion a pyramidal portion comprising a plurality of distal coils wound from the wire, each distal coil comprising a winding forming a closed loop of greater than 360° wherein the winding has a perimeter which tapers outwardly from an interior of the pyramidal portion, and a transition segment of the wire between each distal coil and connecting each distal coil to an adjacent distal coil and each of the distal coils overlapping in a transition from one distal coil to an adjacent distal coil, the plurality of distal coils arranged in a pyramidal shape such that each coil lies in a different lateral face of the pyramidal shape; and a body portion proximal of the pyramidal portion, the body portion comprising a coil formed from the wire and extending proximally from the pyramidal portion characterized in that: the perimeter of each distal coil tapers outwardly from an interior of the pyramidal portion at an angle between 5 to 15 degrees; and each of the distal coils comprising from 1-2/3 turns to 2 turns. the perimeter of each distal coil tapers outwardly from an interior of the pyramidal portion at an angle between 5 to 15 degrees; and each of the distal coils comprising from 1-2/3 turns to 2 turns.