A dosimeter comprising an ionizing radiation detector array is used to generally encompass a three dimensional geometric shape such as that employed as a phantom in radiation dosimetry measurements. The ionizing radiation detector array may include passive or active detectors. The active detectors in the array may comprise diodes, ionization chambers, luminescent sensors or amorphous silicon. The three dimensional geometric shape may comprise a shape defined by a closed directrix, wherein each of a plurality of detectors within the ionizing detector array is within an envelope defined by a generatrix of the directrix. The closed directrix may be an open or closed cylinder, or a structure having a cross section described by a polygon. The plurality of detectors may only be positioned on or at least proximate the envelope.