Heart of the Mountain

The Heart of the Mountain (HotM) is a skill tree related to.

As players level up their Heart of the Mountain, they will gain more Tokens of the Mountain for unlocking various perks. These perks will take effect only on public islands.

Mechanics
A Heart of the Mountain Menu showing all perks up to Level 5 at max level.

Note that unlocking the whole tree isn't possible at the same time, due to insufficient Tokens of the Mountain available. The menu can be accessed via the SkyBlock menu (only while inside the Dwarven Mines), via the Mining skill menu or via.

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.

Each Commission completed grants 100 HotM experience. The first four Commissions players complete every day will give an additional 900 HotM experience for a total of 3,600 extra experience. After reaching Heart of the Mountain 5, 1,600 Mithril Powder is earned instead of HotM experience.

The Heart of the Mountain can be reset. This wipes the HotM of all upgrades and returns all used Tokens of the Mountain and Mithril Powder. HotM levels and Peak of the Mountain levels are kept; Powder spent on upgrading Peak of the Mountain is not returned.

The first reset is free, but each subsequent reset costs. Resetting the HotM has a cooldown of 24 hours.

Pickaxe abilities have their cooldowns set to 60s upon switching servers.

Perks List
All formulae describe the cost to level up once, e.g. from level 10 to 11. The $$\lfloor x \rfloor$$ symbol means round down to the nearest integer.

Mining Speed
Increases.

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

Mining Fortune
Increases. Requires Mining Speed.

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

Titanium Insanium
Increases the chance for Titanium Ore to appear upon mining Mithril Ore. Requires Mining Fortune or Mining Speed Boost.

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

Quick Forge
Decreases the time taken to forge items in The Forge. Requires Mining Fortune or Pickobulus.

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

Mining Speed Boost
Grants all mining tools a Right Click ability. When the ability is used, the user's is increased by a percentage of the  they had at the moment of activation. Requires Titanium Insanium or Luck of the Cave.

Pickobulus
Grants all mining tools a Right Click ability. When the ability is used, an explosive projectile is shot. Upon impact, it mines all ores in a radius around the impact. Requires Quick Forge or Crystallized.

Crystallized
When near to a Fallen Star, increases and increases chance to deal additional damage to Star Sentries. Requires Pickobulus or Front Loaded.

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

Daily Powder
Increases the amount of Powder granted upon mining the 1st Mithril Ore and Gemstone block of the day. The day is counted the same as Commission resets and is affected by the 2x Powder event. Requires Mining Fortune or Efficient Miner.

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

Luck of the Cave
Increases the chance of triggering Powder Ghast and Fallen Star spawns upon mining. Requires Mining Speed Boost or Mining Madness.

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

Efficient Miner
Increases the chance to mine additional blocks adjacent to the mined block. Every 20 levels, increases the amount of mined blocks. Requires Daily Powder, Seasoned Mineman or Orbiter.

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

Orbiter
Increases chance to gain additional XP orbs upon mining ores. Requires Efficient Miner or Front Loaded.

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

Seasoned Mineman
Increases XP gain rate. Requires Efficient Miner or Mining Madness.

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

Peak of the Mountain
Grants various HotM-related perks. The Powder spent upgrading this is not returned when the HotM is reset. Requires Efficient Miner.

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

Sky Mall
Every SkyBlock day (20 minutes) at 12:00 am, a random buff from the list below is granted. The effects on the list occur less often the further down they are. Requires Mining Madness.
 * Gain 100
 * Gain 50
 * Increase powder gain by 15%
 * Reduce pickaxe ability cooldown by 20%
 * Increase chance to spawn Golden Goblins while mining ores by 10x
 * Gain 5x drops from mining Titanium

Mining Madness
Grants 50 and 50. Requires Luck of the Cave, Seasoned Mineman or Goblin Killer.

Goblin Killer
Killing Goblins grants additional Mithril Powder depending on the type of Goblin killed. Requires Mining Madness or Lonesome Miner.

Front Loaded
For the first 2,500 ores mined in a day, increases by 100 and  by 100. Requires Crystallized, Orbiter or Star Powder.

Star Powder
When mining near Fallen Stars, increases amount of Mithril Powder gained from mining Mithril Ore by 3. Requires Front Loaded or Great Explorer.

Lonesome Miner
When in the Crystal Hollows, increases the potency of stat boosts to, , , , and (, Superior Dragon Armor, Ender Dragon Pet, etc.) Requires Goblin Killer or Professional, as well as HotM 6.

$$\text{Powder to get to Level n} = Info Needed $$

Professional
Increases while mining Gemstones. Requires Lonesome Miner or Mole, as well as HotM 6.

$$\text{Powder to get to Level n} = Info Needed $$

Mole
While mining Hard Stone, gain a chance to mine an additional Hard Stone block. Every 20 levels, increases the amount of Hard Stone blocks mined. Requires Professional or Fortunate, as well as HotM 6.

$$\text{Powder to get to Level n} = Info Needed $$

Fortunate
Increases when mining Gemstones. Requires Mole or Great Explorer, as well as HotM 6.

$$\text{Powder to get to Level n} = Info Needed $$

Great Explorer
Increases the chance to find treasure chests while mining in the Crystal Hollows. Requires Star Powder or Fortunate, as well as HotM 6.

$$\text{Powder to get to Level n} = Info Needed $$

Vein Seeker
Grants all mining tools a Right Click ability. When the ability is used, the user is pointed towards the nearest vein and gains Mining Spread. Requires Lonesome Miner and HotM 6.

Maniac Miner
Grants all mining tools a Right Click ability. When the ability is used, the user is drained of all and gains  for every 10 mana used. Requires Great Explorer and HotM 6.

Mining Speed II
Further increases. Requires Lonesome Miner and HotM 7.

$$\text{Powder to get to Level n} = Info Needed $$

Powder Buff
Increases extra Powder gain rate. Requires Mole and HotM 7.

$$\text{Powder to get to Level n} = Info Needed $$

Mining Fortune II
Further increases. Requires Great Explorer and HotM 7.

$$\text{Powder to get to Level n} = Info Needed $$

Trivia

 * 2x Powder Events also double Mithril Powder obtained from Commission rewards, the Daily Powder perk, Fetchur, and Puzzler.
 * Multiple abilities can be unlocked at once. Players must use one ability then select the other in the Heart of the Mountain Menu in order to use it.
 * Despite being impossible to get every single perk in Heart of the Mountain, if one were to get all of them and max each one out, it would cost 16,223,038 Mithril Powder and Gemstone Powder.

History
산의 심장