1. A scan body for determining a position and an orientation of a dental implant, the scan body comprising: a bottom end with means for connecting the scan body with the implant, wherein the scan body is connected directly to the implant or wherein the scan body is connected with the implant via an adaptor piece; and a top end having a scan geometry; wherein the scan geometry comprises a plurality of plane areas, each plane area having a plurality of sides and corners and each side having a length, and wherein the scan geometry comprises at least three types of plane areas having different orientation angles with respect to a longitudinal axis of the scan body, wherein the at least three types of plane areas include a top plane area and at least two different side plane areas, wherein the at least two different side plane areas are disposed at different orientation angles with respect to the longitudinal axis of the scan body, and at least one of the at least two different side plane areas extends continuously from the bottom end of the scan body to the top plane area, the side plane areas defining a limiting volume of cross-section that is narrower proximate the top plane area, wherein an orientation angle of at least one type of plane areas lies within a range of 30° to 60° with respect to the longitudinal axis, wherein the top plane area has a normal vector that is parallel to the longitudinal axis of the scan body, wherein the length of each side of one type of plane area is equal, or wherein the lengths of at least two sides of one type of plane area are different, such that from every possible point of view, located at a same level or above said scan geometry, there are at least three of said plane areas at least partly visible.