## What is Hermitcraft?

Hermitcraft it’s a youtube gaming series based on the popular sandbox game Minecraft with notorious players from the platform usually called *hermitcrafters* or just *hermits*. There are diverse locations in the server where the hermits converge, but most of the action develop in the Shopping District, since that is the place where players set up stores to sell and buy all in-game items.

Elections were made to designate a mayor for the Shopping District, and since it was built on a mushroom biome, the new elected mayor renewed the appearance of the land by changing mycelium for grass but not everyone was happy about, thus the Mycelium Resistance was born.

While the Mycelium vs. Grass conflict started to heat up, the mayor started a «buy back!» program to motivate neutral hermits to eradicate mycelium from the district. The deal was: **2 stacks of 64 blocks of Mycelium for 5 diamonds**.

## The Grian math problem

The Mycelium Resistance «mother spore», Grian, saw this exchange program as the perfect plant to *buy* the **diamond throne** in exchange for all the mycelium harvested by resistance, so in his episode Hermitcraft 7: Episode 48 – BUYING THE THRONE he bumped into a curious math problem.

We know roughly that there are seven a half stacks of diamonds (in the Diamond Throne)… So if we do some math very quickly, I need my calculator… This is like a math paper examination of school…

After saying that, Grian, was amazed that he needed actual math from high school to solve this problem and after thinking a bit, he stated an actual math problem like those in math books:

If you have nine diamonds per diamond block, and there are sixty four blocks in a stack, and there are seven and a half stacks,

how many mycelium do you need to farm in order to take the diamond throne?

What we are going to do is to translate this question into math equations to solve the problem.

## The math translation

Considering the Mycelium Resistance already have 34 shulker boxes full of mycelium, let’s state what are the equalities we have:

- Diamonds is equal to Diamond Block.
- Diamond Blocks are equal to Diamond Blocks Stack.
**Mycelium Stack is equal to Diamonds.**- Shulker Box full of Mycelium is equal to Mycelium Stacks.
- Shulker Box full of Mycelium is equal to Mycelium Stacks.
- diamond block stacks is equal to how many mycelium blocks?

First thing we need to do, is check how many diamonds are in diamond block stacks. Since seven and a half is a mixed number represented by , we have to rewrite it as a fraction, that is

Then, we have diamond blocks, that is diamond blocks, and that is diamonds.

We know that ** Mycelium Stacks are equal to Diamonds**, in this way, we can state that if denotes a Mycelium Stack and denotes a diamond, then . So, if we solve this equation for , we have

Considering this last equality, we can now replace with , because that is the total of diamonds that the Diamond Throne, then, and that is .

So, the **Diamond Throne is worth ** mycelium stacks. However, the question is ** how many mycelium do you need to farm in order to take the diamond throne?** We have to remember that the Mycelium Resistance already have 34 shulker boxes full of mycelium, that is Mycelium Stacks.

Then, the Mycelium Resistance needs to farm needs to farm mycelium stacks in order to take the diamond throne, and that is shulker boxes full of mycelium.