Infinity Tower

The Infinity Towers are a set of incredibly challenging Dungeons in which your pets climb different elemental towers to gain Infinity Points and tier 3 and tier 4 Crafting materials. To unlock the Infinity Towers, your total Pet Dungeon Levels need to exceed 4,000 for your top 36 pets.

Tower Types
On each trip to the Infinity Towers, your pets may select which tower to visit, and how many hours to spend there.

On your first expedition to a given Infinity Tower, your pets will begin on floor 0, and will require 1 hour to complete that floor. If the trip lasts more than 1 hour, then the second hour will be spent exploring floor 1, the third hour on floor 2, and so on.

On subsequent trips, your pets may choose to start on any floor number they have previously completed. E.g. if you begin a 4-hour trip starting on floor 5, your pets will attempt to complete floors 5, 6, 7 and 8. If you have purchased (Name? Cost?) then you may choose to stay on your starting floor, rather than advancing to a more difficult floor each hour.

Strategy Guide
One of the top players made a small guide about what teams to use:

https://docs.google.com/spreadsheets/d/1W-66_97GUJevWRhvEmMc8W_wO1ZTC9aaXPBq-BnkKqE/edit#gid=818485860

Infinity Points
Each Tower will give Infinity Points of its corresponding type. Each Floor of the towers will give points equal to the Floor #. This is currently capped at a max of 50 points.

For example:
 * Floor 0 = 0 points.
 * Floor 20 = 20 points.
 * Floor 50 = 50 points.
 * Floor 60 = 50 points.

Infinity Points may be spent to purchase the following:

After Purchasing the 6th Dungeon Team, you can convert Elemental Points into the other elements at a rate of 5:1 of each. For example:
 * 500 Elemental Points will become 100 of every element.
 * 5000 = 1000 of each.
 * 50000 = 10000 of each.

Drops
Monsters in the Infinity Towers have a chance to drop T3 and T4 materials. The drop chance is (floor #)% per enemy for T3 mats and (floor # / 20)% for T4 mats. Rogues or other dungeon drop increase effects have no influence on the drop rate. Like with other dungeons, the drops are lost if you die.

For example:
 * Floor 20 ⇒ T3 = 20% and T4 = 1% per monster
 * Floor 40 ⇒ T3 = 40% and T4 = 2% per monster
 * Floor 60 ⇒ T3 = 60% and T4 = 3% per monster
 * Floor 80 ⇒ T3 = 80% and T4 = 4% per monster