Here is the full list of all 22 Infinifactory trophies - there are 3 bronze, 11 silver, 7 gold and 1 platinum.
Solve "Aerial Combat Shuttle" in 320 cycles or less
That was a close call!
Solve "Terrestrial Drone" with a footprint of 300 or less
Solve "Anti-javelin Point Defense" with a footprint of 255 or less
Solve "Gneiss Chair" in 225 cycles or less
Solve "Furnished Studio Apartment" in 130 cycles or less
Throw a "lemming" party
Save a "whale" from an unfortunate end
Solve "Oversight Terminal Model 6" with a footprint of 95 or less
Solve "Small Excavator" with a footprint of 135 or less
Solve "Terminal Display Reclamation" with a solution that contains only two eviscerators
Solve "Cargo Uplifter" in 140 cycles or less
Solve "Shuttle Propulsion Units" with a solution that contains only two welders
Solve any puzzle in over 10,000 cycles
Solve "Guided Javelin Type 1" in 210 cycles or less
Solve "Training Routine 1" with a solution that is only one block tall
Solve "Training Routine 1" with a footprint of 50 or less
Solve "Wave Detection Array" with a footprint of 100 or less
Solve "Training Routine 5" in 85 cycles or less
You wil never be let go
Earn all other Trophies.
Isn't it beautiful?