An engine component for a gas turbine engine, the engine component comprising a cooling architecture comprising at least one unit cell having a set of walls with a thickness, the set of walls defining fluidly separate conduits having multiple openings, each of the multiple openings having a hydraulic diameter; wherein the thickness (t) and the hydraulic diameter (D.sub.H) relate to each other by an equation:

[00001]$\frac{{\left(D_H+2t\right)}^2}{{\left(\left(D_H+2t\right)/D_H\right)}^{1/3}}$

to define a performance area factor (PAF).

An engine component for a gas turbine engine, the engine component comprising a cooling architecture comprising at least one unit cell having a set of walls with a thickness, the set of walls defining fluidly separate conduits having multiple openings, each of the multiple openings having a hydraulic diameter; wherein the thickness (t) and the hydraulic diameter (D.sub.H) relate to each other by an equation: $\frac{{\left(D_H+2t\right)}^2}{{\left(\left(D_H+2t\right)/D_H\right)}^{1/3}}$
to define a performance area factor (PAF).