|The Theories of Fusion have changed, see this Tiny Village Facebook announcement. Now all dinos are active and can be obtained from fusion. In this note we refer to the new supercharged fusion as Super DinoFusion.|
How to Get the Dino You Want
Need a good recipe to get that great Dino you really, really want? This page is designed to help you get that coveted dino by fusing it in your Fusion Lab. The great news is that with perseverance, you will be able to fuse any dino. Every dino can be obtained by DinoFusion, except of course the Tier 0 dinos. The only caveat, is that in the new Super DinoFusion, the results are much less predictable, for the simple reason, that the same combo now leads to many possible results.
Coin and Dice Analogy: The old Dino Fusion, was a bit like flipping a coin. At most, you would get one of two dinos, corresponding to heads or tails. The new Super Dino Fusion is more like tossing a dice with many sides. There are many different possibilities now. This means you should not set your heart on only one outcome. Some combos have 9 or more possible fusion outcomes! There is just no way to know which one you will get. And as more dinos are introduced, the possibilities will only increase.
In Super Dino Fusion, the Inclusion Principle, guarantees that all dinos are active, that is, there is a way to fuse any of the dinos, except of course the tier 0 dinos. That is why the table below shows all dinos as active!
All Dinos are Active in Super Dino Fusion
Universal Table for Super DinoFusion
The secrets of DinoFusion will be yours to apply once you master the following simple table, which graphically encodes the First and Second Laws of Super DinoFusion. You can think of this page as an introduction to Applied DinoFusion Theory.
The Universal Table for the new Super DinoFusion
Note : The Universal Fusion Table applies to all dinos in all tiers and is the single most important tool to help you fuse the dino you want. Use the knowledge carefully.
Historical Interest: The universal table for the original version of DinoFusion can be found on this page.
The First and Second Law of DinoFusions
First Law of DinoFusion: On the diagonals, you can see the First Law of DinoFusion. The fusion of dinos from the same biome, always gives a dino from a different biome. In Super DinoFusion, the new dino can come from any one of the three other biomes. We can write this quite eloquently as:
- Biome + Biome = – Biome, where the – means not.
In greater detail we have the first law in the form of four rules:
- Tundra + Tundra = Forest or Desert or Air, but never Tundra
- Forest + Forest = Tundra or Desert or Air, but never Forest
- Desert + Desert = Tundra or Forest or Air, but never Desert
- Air + Air = Tundra or Forest or Desert, but never Air
Second Law of DinoFusion: On the off-diagonals, you can see the Second Law of DinoFusion. The fusion of dinos from two different biomes, always gives a dino from one of those biomes. We can write this quite eloquently as:
- Biome1 + Biome2 = Biome1 or Biome2
In greater detail we have the second law in the form of six rules.
- Tundra + Forest = Tundra or Forest
- Tundra + Desert = Tundra or Desert
- Tundra + Air = Tundra or Air
- Forest + Desert = Forest or Desert
- Forest + Air = Forest or Air
- Desert + Air = Desert or Air
Anomalous Dinos: Note an anomalous Cuckoo Egg may come your way, that does not agree with the above fusion laws. The odds are less than 2% and since these are completely unpredictable, we shall not include them in our model. The cuckoo bird is quite lazy, and rather than caring for its own young, slyly lays its eggs in the nest of other birds, so they will have to do all the work of raising the baby cuckoo!
Let's see how the laws of Super DinoFusion work by trying an example.
Step 1: Choose one of the Six Biome Paths
By inspecting the Universal Table for Super DinoFusion, you can see that every dino can be obtained by exactly six different biome combinations. The first step is to select one of these six possible biome paths. Let's illustrate this in the case of the pony, or mesohippus.
Example: Six Paths to Fuse a Pony [the Mesohippus]
Since the pony is a tier 1 forest dino, we first need to study the six possible biome paths to create a forest dino. There are always six in the new Super DinoFusion. The six forest paths are:
Three Same-Biome Rules appear on the Diagonals
- Tundra + Tundra = Forest or Desert or Air
- Desert + Desert = Tundra or Forest or Air
- Air + Air = Tundra or Desert or Forest
Three Different-Biome Rules appear off the Diagonal
- Forest + Tundra = Forest or Tundra
- Forest + Desert = Forest or Desert
- Forest + Air = Forest or Air
So the first step is to examine your dino herd, identify two dinos you won't miss and check if they give one of the above six biome paths. To get the pony,a forest dino, you must either select exactly one forest dino and some other, or select two dinos from the same biome, but they can't both be forest dinos.
Let's illustrate this below using two mammoths. Since Tundra + Tundra = Forest or Desert or Air
the chance we will actually get the pony (one of nine possibilities) is quite low.
Only one of the nine Mammoth + Mammoth results is the pony.
This path may give you a mesohippus, but it will more likely give you one of the other dinos shown above. The relative probabilities for the different outcomes is unknown at present.
Sorry, you just can't get the dino you want with any guarantee in the new Super DinoFusion.
But at least you have a chance, and now you can fuse all the dinos!
Dino Counting Formula from the Six Paths
How many times does each dino appear in the new Super DinoFusion Tables?
Tier 0 Table: Because of the six paths each tier 1 dino appears exactly six times in the Tier 0 Fusion table. For example, you can see six ponies (meso) in the Tier 0 table. Three from the same-biome combos and three from the different biome combos.
Tier 1 and 2 Tables: In the higher tables, each dino appears many more times, because unlike the lowest tier, there are many dinos for each biome. We can write out a simple formula for the number of dinos in each tier using only four numbers.
Suppose you want a dino from a particular biome. Let n denote the number of dinos of this same biome in the lower tier and let n1, n2 and n3 be the number of dinos in the other three biomes, also from the lower tier.
Then the total number N of dinos in the lower tier is:
- N = n + n1 + n2 + n3
The number of distinct ways to fuse your dino in the higher tier is obtained by counting up the contributions from each of the six possible biome paths.
The count from the three same-biome paths is: n1*(n1+1)/2 + n2*(n2+1)/2 + n3*(n3+1)/2
The count from the three different-biome paths is: n * (n1 + n2 + n3) = n * ( N – n)
The total number of ways to fuse your higher tier dino is just the sum of these two terms.
|Total Fusion Combos = n1*(n1+1)/2 + n2*(n2+1)/2 + n3*(n3+1)/2 + n * ( N – n)|
Because of the squares, the number of combos can grow quite quickly, as we see in the Tier 1 table.
- In the above analysis, the combos Dino1 + Dino2 and Dino2 + Dino1 are counted only once, due to symmetry.
Students of combinatorics will recognize the n choose 2 function in the above formulas.
Phoenix Counting Example
As an example, let's calculate the number of times the phoenix appears in the Tier 2 table.
First there are N = 10 tier 2 dinos, and n = 2 of these are Air dinos; the archaeopteryx and the Ingridia.
The counts for the other three tiers (in any order) are:
- Tundra: n1 = 1; [Woolly]
- Forest: n2 = 4; [Triceratops, Corythosaurus, Giant Turtle , Dilophosaurus]
- Desert n3 = 3; [Raptor, Kentro, Homalocephale]
We can now apply the dino-counting formula to find the total number of distinct ways to fuse a phoenix.
Phoenix Combos = n1*(n1+1)/2 + n2*(n2+1)/2 + n3*(n3+1)/2 + n * ( N – n)
- = 1 + 10 + 6 + 2 * (10–2) = 1 + 10 + 6 + 16 = 33
That is, there is a grand total of 33 different combinations that might produce a Phoenix!
So far, only a few of these 33 combos have been verified.
Step 2: Select a dino for each biome in your chosen path.
The Dino Recipes are simplest for the Tier 1 dinos. That is because there is a unique Tier 0 dino for each biome.
For the higher tiers, in addition to selecting one of the six biome paths, you must also choose a dino for each biome in your chosen path.
Phoenix Fusion Example
Suppose you really want a Phoenix.
Step 1: As always, in Super DinoFusion, there are six biome paths that lead to any dino, including the phoenix.
Suppose you have chosen the biome path Tundra + Air = Tundra or Air
This means the outcome is one of the five air and tundra dinos, only one of which is your phoenix.
Step 2: Select a dino in each of your chosen biomes, Air and Tundra. At present, your only choice for the tier 2 tundra dino is the Woolly Mammoth. You have two choices for the tier 2 air dino, the Archaeopteryx or the Ingridia. Thus, your choice of biome path, Tundra + Air gives you two possible different dino combos, either of which might give a phoenix.
- Woolly + Archae = [Tiger or Sloth] or [Bambi or Nemico or Phoenix]
- Woolly + Ingridia = [Tiger or Sloth] or [Bambi or Nemico or Phoenix]
But you just as well might get one of the other dinos. There is no guarantee in Super DinoFusion.It is much more variable than before. See the Tier 2 DinoFusion Table for all the other possible phoenix combos.