Top: absolute (left panel, normalised to unity at the maximum value of the full baryon gas sample, same as Figs. 3 and 11) and relative distributions (right panel) of the gas mass as a function of the mass-weighted temperature for Bisous filaments (black continuous line), NEXUS+ filaments (orange, dashed line), NEXUS+ nodes (blue, dotted line), NEXUS+ walls (green, dash-dotted line), and NEXUS+ voids (yellow, dot-dashed-dotted line). Bottom: same as the top panel, but for the density contrast. The gas within R₂₀₀ has been excluded in all panels.