Temperature slices constrained by overdensity δ > δ_min and temperature T > T_min for a halo of mass M_halo = 1.74 × 10¹¹ M_⊙ at redshift z = 0. The inner circle shows the virial radius R_vir = 194 kpc of the halo. For the computation of halo averages based on these constraints, a maximal radius of 2 R_vir (outer circle) is applied. (a) δ > 1, T > 2.5 × 10⁴ K. (b) δ > 10, T > 2.5 × 10⁴ K. (c) δ > 50, T > 2.5 × 10⁴ K. (d) δ > 10, T > 10⁵ K.