Heart of the Mountain

Description
The Heart of the Mountain (HotM) is a skill tree from the Dwarven Mines update.

As players level up their Heart of the Mountain, they will gain more Heart of the Mountain tokens, which can be used to unlock various perks. These perks will only take effect on public islands.

Heart of the Mountain Menu
A Heart of the Mountain Menu showing all perks at max level. Note that this tree is not possible due to insufficient Heart of the Mountain Tokens.

Gaining Heart of the Mountain Experience
Players can level up their Heart of the Mountain by gaining Heart of the Mountain Experience, which can be obtained from Commissions and from events such as Raffle and Goblin Raid.

The first four Commissions players complete every day will give an additional 900 HotM experience for a total of 3,600 extra experience. Note that once the player reaches Heart of the Mountain 5, they will gain extra Mithril Powder instead of HotM experience.

Crystallized
$$\text{Powder to get to Level n} = \lfloor(n+1)^{3.4}\rfloor $$

Daily Powder
$$\text{Powder to get to Level n} = 182 + 18 \times n $$

Efficient Miner
$$\text{Powder to get to Level n} = \lfloor(n+1)^{2.6}\rfloor $$

Luck of the Cave
$$\text{Powder to get to Level n} = \lfloor(n+1)^{3.07}\rfloor $$

Mining Fortune
$$\text{Powder to get to Level n} = \lfloor(n+1)^{3.05}\rfloor $$

Mining Speed
$$\text{Powder to get to Level n} = (n+1)^3 $$

Orbiter
$$\text{Powder to get to Level n} = 70 \times n$$

Peak of the Mountain
$$\text{For levels 2-5, Powder to get to Level n} = 25000 \times n $$

Quick Forge
$$\text{Powder to get to Level n} = (n+1)^4 $$

Seasoned Mineman
$$\text{Powder to get to Level n} = \lfloor(n+1)^{2.3}\rfloor $$

Titanium Insanium
$$\text{Powder to get to Level n} = \lfloor(n+1)^{3.1}\rfloor $$

Tips

 * At Heart of the Mountain 2, it is recommended to unlock Titanium Insanium.
 * At Heart of the Mountain 3, it is recommended to get the Mining Speed Boost ability and to spend the last token on either Daily Powder or Luck of the Cave.
 * At Heart of the Mountain 4, it is recommended to get Efficient Miner and to spend the last token on either Luck of the Cave or Seasoned Mineman.
 * At Heart of the Mountain 5, it is recommended to get Peak of the Mountain and to max it to obtain 2 more Tokens of the Mountain. Then, players can go through the Mining Speed Boost to get Sky Mall and Goblin Killer. The final token should be spent on either Quick Forge or Seasoned Mineman.

Trivia

 * While it is possible to have both abilities unlocked, it is slightly convoluted to use both. Players must use one ability then select the other in the Heart of the Mountain Menu in order to use it.
 * The Mithril Powder from the Daily Powder perk resets once every real life day, not every Skyblock day.