As you accumulate Infinity points, you get occasional gifts from the dinosaurs. These show up in your room on the prize platform. Be Careful! If you see one there, and leave the room without picking it up - it's gone forever. You can click on the prize icons to get a better view of the prize.
You can get Infinity points as bonuses from the other categories, or when you eat infinitoids.
| Infinity Score | Hat Award |
| 100,000 |  Wiener Dog Pin |
| 250,000 |  Wrench Monkey |
| 500,000 |  Mirror |
| 1,000,000 |  Conch Shell |
| 1,500,000 |  Frisky Broom |
| 2,000,000 |  Molar |
| 2,500,000 |  Missile Toe |
| 3,000,000 | Wiener Dog Pin |
| 3,500,000 | Missile Toe |
| 4,000,000 | Wrench Monkey |
| 4,500,000 | Molar |
| 5,000,000 | Mirror |
| 5,500,000 | Missile Toe |
| 6,000,000 | Conch Shell |
| 6,500,000 | Frisky Broom |
At each additional 500,000 points, Hats will cycle through the following sequence:
