Each building can get various upgrades to its processing speed. This is done in the upgrades window (F by default). To purchase these upgrades, the player must first deliver a certain amount of specific shapes to their hub, which will be consumed upon upgrading. The higher the tier of upgrade, the more complicated the shapes get.
As you can see the shapes needed to upgrade buildings are different up until tier 6 then they are the same. These shapes also match the shapes you need to produce at levels 19 and 20, so you ought to make sure your upgrade tier matches your level going forward from that point on.
Upgrades continue until Tier 1000, but past Tier 8 the speed boost increase reduces substantially.
↑ 1.01.11.21.3
9 - 28: Plus 0.1 per tier 8+.1×(t-8)
29 - 58: Plus 0.05 per tier 10+.05×(t-28)
59 - 108: Plus 0.025 per tier 11.5+.025×(t-58)
109 - 1000: Plus 0.0125 per tier 12.75+.0125×(t-108)
↑ 2.02.12.22.330k plus 10k per tier 30000+10000×(t-9)
The tier VI shape is always the tier V shape with an extra layer added to the top or bottom.
Excluding Mixing & Painting, each upgrade path begins with an uncolored pure full shape, followed by an uncolored cut shape, a colored shape, a 2 layer shape, and a 3 layer shape.