Surface mass density rendered image of the fragmenting disc with initial surface mass density profile Σ∝R−2 (simulation p2-beta3). The simulation used β = 3. The fragment forms in the inner regions of the disc as shown by the zoomed-in image of the disc, confirming the analytical predictions in Section 2. The colour scale is a logarithmic scale ranging from log Σ=− 11 (dark) to 2 (light) M⊙ au−2 in the zoomed-out image and from log Σ=− 3.5 (dark) to 1 (light) M⊙ au−2 in the zoomed-in image.