Alien Head

Alien Head
Reduces cooldowns for your skills.
Reduce skill cooldowns by 25% (+25% per stack).
Rarity	Legendary
Category	Utility
ID	50
Stats
Stat	Value	Stack	Add
Cooldown	25%	Exponential	+25%

The Alien Head is a returning item in Risk of Rain 2. A player holding the Alien Head has all their skill cooldowns moderately reduced.

Notes

• The cooldown reduction from the Alien Head is calculated before the flat reduction from the PurityReduce your skill cooldowns by 2 seconds. You are unlucky.
  All skill cooldowns are reduced by 2 (+1 per stack) seconds. All random effects are rolled +1 (+1 per stack) times for an unfavorable outcome.. For instance, if a player holds 1 Alien Head and 1 Purity, a skill that would normally take 4 seconds to cool down would instead have a 1 second cooldown.

Math

The skill cooldown is determined by the formula cooldown * 0.75 ^ amount

Amount	2s	3s	4s	5s	6s	7s	8s	10s	12s	% reduction
1	1.5	2.25	3	3.75	4.5	5.25	6	7.5	9	25%
2	1.13	1.69	2.25	2.81	3.38	3.94	4.5	5.63	6.75	43.8%
3	0.84	1.27	1.69	2.11	2.53	2.95	3.38	4.22	5.06	57.8%
4	0.63	0.95	1.27	1.58	1.9	2.21	2.53	3.16	3.8	68.4%
5		0.71	0.95	1.19	1.42	1.66	1.9	2.37	2.85	76.3%
6		0.53	0.71	0.89	1.07	1.25	1.42	1.78	2.14	82.2%
7			0.53	0.67	0.8	0.93	1.07	1.33	1.6	86.7%
8				0.5	0.6	0.7	0.8	1	1.2	90%
9						0.53	0.6	0.75	0.9	92.5%
10								0.56	0.68	94.4%

• The cooldown reduction cannot reduce skills' cooldowns below 0.5s.

Graph

The following graph shows the effect on a 10 second cooldown.

Lore

Order: "Alien Head"
Tracking Number: 76******
Estimated Delivery: 07/13/2056
Shipping Method:  High Priority/Biological
Shipping Address: Solomon, ???, Backwaters, Mars
Shipping Details:

Important sign from the spirits. Passed down for many generations. Must be used for high noon ritual to ward off sickness and fatigue. Must be kept cool or will rot. Helps energize the kinfolk and can be used for extra human strength and agility. Important.