Representation on a sphere (left) and on a polar plane (right) of the forty directions along which a three-dimensional simulated cluster is projected. The directions are distributed at intervals of Δθ = 1/10 π and Δϕ = 1/8 π, with θ ∈ [0, 9/10 π] and ϕ ∈ [0, 3/8 π], where ϕ = 0 identifies the equatorial plane. Every direction is identified as (t, p), where t ∈ [0, 9] and p ∈ [0, 3] represent θ and ϕ.