Gauss Carrot Hoe

The Gauss Carrot Hoe is a Hoe. It can be crafted from the Mathematical Hoe Blueprint. This Hoe can be upgraded with Jacob's Tickets, Carrots, Enchanted Carrots, and Enchanted Golden Carrots. Its rarity tier can be upgraded by harvesting crops. With use of a Recombobulator 3000, the Gauss's Hoe can be a maximum Rarity of.

Upgradeable
Harvest Gain
 * -|Common Stats=

Harvest Gain
 * -|Uncommon Stats=
 * Harvest carrot per digits on the Counter, minus 4!

Harvest Gain
 * -|Rare Stats=
 * Harvest carrot per digits on the Counter, minus 4!
 * Harvest carrot per digits of your collection, minus 4!

Tiers
Harvest Gain
 * -|Common Stats=

Harvest Gain
 * -|Uncommon Stats=

Harvest Gain
 * -|Rare Stats=

Harvest Gain
 * -|Epic Stats=

Harvest Gain
 * -|Legendary Stats=

Harvest Gain
 * -|Mythic Stats=

Formulas
The number of digits on the counter may be calculated using:
 * $$n = \left\lfloor\log_{10} counter\right\rfloor + 1$$

In order to mathematically represent the and  ability scaling, the following formula has to be used:
 * $$\text{Logarithmic Counter Bonus} =

\begin{cases} 0 & n \leq 4 \\ (n - 4) \times 16\% & otherwise \end{cases}$$
 * $$\text{Collection Analysis Bonus} =

\begin{cases} 0 & n \leq 4 \\ (n - 4) \times 8\% & otherwise \end{cases}$$

Trivia

 * Since the introduction of Farming Fortune, all bonuses are applied as Farming Fortune as well, converting its previously multiplicative bonuses into additive bonuses.
 * The Rarity will increase by 1, whether you are upgrading it through crafting, or by counter(collecting carrots). All 3 upgrades, and all 3 counter tiers are obtainable for the hoe, no matter the order you do them in. For example, if you have a Gauss Carrot Hoe with 100k counter, it will increase to, and then you can increase it to by using the crafting recipe for , listed above, under "Upgradeable". The order you do them in does not matter, the Rarity will always increase by 1.