Insight into the Hive Punks distribution
Before we open the doors to Punks on Hive, I want to share some data on how the distribution will look like for Hive Punks. A lot of thought went into this and the distribution and the original Crypto Punks were used as an original model but with the addition of many unique attributes and types, we veered off in our own direction and then made further tweaks from there.
When we created the Punk Generator, we added some tooling to do test runs which generate 10,000 Punks and analyzes their attributes to verify the model works the way we want.
This model is now frozen, and will be used for the final distribution.
Let's first look at types, Hive Punks have a lot more types than the original Crypto Punks, but a different distribution.
If you look at the original distribution of Crypto Punks, it looks like this.
| Type | Quantity |
|---|---|
| Alien | 9 |
| Ape | 24 |
| Female | 3840 |
| Male | 6039 |
| Zombie | 88 |
As you can see here, the vast majority of Punks are human and slightly biased to male. Aliens are the most sought after (and the 9 of them sold for $17.5M USD) with Apes being the next sought after type. Out of 10,000 Punks, 9,879 are Human with the rest being an extremely rare type.
Using this as a guide, we came up with a similar distribution that took in account for the additional types we have.
punkgenerator --dry type
type
Human 9855
Clown 63
Zombie 36
Ape 13
Robot 7
Vampire 6
Demon 5
Skeleton 5
Mummy 4
Alien 3
Orc 3
As you can see, we still have around the same number of Human Punks, but the super rare Punks have been split between a few more potential character types. Because we are not generating all Punks prior to minting, we have no guarantee how the final distribution will look. While we tried to make sure one of every potential type will always happen, it is posible some types may not. The only way to know will be when the 10,000th Punk is minted. Let's look at another dry run of the same query.
punkgenerator --dry type
type
Human 9889
Clown 51
Zombie 19
Ape 13
Vampire 7
Demon 6
Orc 6
Robot 4
Alien 2
Skeleton 2
Mummy 1
You can see there some things changed, like there is only 1 Mummy instead of 4. Zombies became considerably more rare with clowns taking up more of the population and finally orcs doubling their population. This variance is unavoidable when leaving generation purely to chance.
Let's check out a few other attribute distributions so you know what to expect.
Type is likely the most sought after attribute, as anything but human is extremely rare. The next would be accessory count. This affects how many attributes a Punk has.
punkgenerator --dry accessory_count
accessory_count
3 4433
2 3473
4 1598
5 270
1 204
6 18
0 4
After generating 10,000 Punks, this is the distribution I saw with this test run. We focused on pushing the majority of Punks into the 2,3,4 attribute group. On one hand you want to make higher accessory counts more rare, but if you do this linearly, you end up with a lot of low accessory count Punks which result in a lot of duplicate Punks. By pushing most Punks to 2+ accessories, you drastically reduce duplication. Something I believe is good for everyone.
Once you establish the type, you need to establish the gender of the Punk. Like the original Crypto Punks, I showed a bias towardes Male Punks. Even though Female Punks were more rare, Male Punks were more popular. I believe this oddity is due to the fact Female Punks are shorter and take up less space in the 24x24 grid. Speaking of which, Hive Punks are 480x480 and not 24x24!
punkgenerator --dry gender
gender
Male 5953
Female 4047
While most attributes are purely random and have an equal chance of showing up, I influence the distribution for my favorite attributes making them very rare as well as some other reasons. For example let's look at "Mouth Props".
punkgenerator --dry mouth_prop
mouth_prop
Pipe 120
Cigarette 108
Vape 104
Cigar 103
Medical Mask 100
Bubble Gum 6
I think it is pretty clear what my favorite accessory is by looking at this distribution. If we run it again, we get a slightly different distribution but it's clear where my bias is.
punkgenerator --dry mouth_prop
mouth_prop
Medical Mask 116
Cigar 112
Cigarette 105
Vape 92
Pipe 79
Bubble Gum 16
While I prefer the second distribution considering this is out of 10,000 Punks, I am happy with either outcome. Unfortunately I cannot guide the algorithm to certain minimum outcomes while remaining 100% transparent and fair or generating all 10,000 Punks ahead of time like everyone else did.
Another interesting fact about this specific distribution is there is what I call a gate. If a particular gets assigned a mouth prop feature, I do a check against a random number to see if it is even possible. While most props will happen if they are chosen, certain ones are limited. In the case of Mouth Props, I didn't want half the Punks smoking. So I made this feature a lot more rare by first rejecting it most of the time it gets selected. There is also a significant bias to males having mouth props vs females to add some variety. This can be doing using a cross check.
punkgenerator --dry gender mouth_prop
gender mouth_prop
Male Medical Mask 102
Vape 88
Cigarette 87
Pipe 79
Cigar 78
Female Medical Mask 29
Vape 25
Cigar 23
Pipe 17
Cigarette 15
Male Bubble Gum 11
Female Bubble Gum 2
These gates and biases are completely arbitrary and of my choices. I designed a model that represented the outcome I wanted to see. Random still has a large influence on the outcome, but my biases guide it down a certain path. As the code for this will be 100% transparent, you can see where these biases are and how it will influence the final distribution. This post will also serve as some visual introduction to these biases and the final distribution.
Outside of Type, Gender, and Accessory Count, there are 9 potential attribute or accessories that can be added to a Punk. Any one Punk can only have up to 8 of these at once, but with most 10K test runs, there was not an 8 accessory Punk. The gates I previously talked about is a factor in why there isn't. In most cases there will be a dozen or two 6 accessory Punks and then everything below it, potentially one or two seven accessory Punks if luck dictates it.
Out of 9 potential attributes, five of these have fatal gates. Meaning there is a chance it might get an attribute/accessory but fails the roll and ends up skipping it. The attributes that have fatal gates are Neck, Mouth, Mouth Prop, Nose, and Blemish. This is usually due to lack of unique variety of attributes in these categores, adding an artificial bias to prevent a flood of the same attribute.
This is most apparent with the Nose accessory, as there is only one type of nose it was made considerably rare out of 10,000 Punks.
punkgenerator --dry nose
nose
Clown Nose 219
Head/Hair is the most interesting attribute as there are so many options.
punkgenerator --dry hair
hair
Bear Skin 102
Tyrolean 100
Cap 98
Sombrero 91
Crown 89
Fisherman Cap 88
Winter Hat 88
Chinese Landlords Hat 87
Orange Big 87
Head Band 86
Baseball Cap 85
Shaved Head 85
Bear Hood 85
Dorag 84
Police Cap 84
Jaapi 83
Trapper Hat 82
Flower Crown 82
Ushanka 82
Mohawk Thin 82
Beer Bong 81
Fez 81
Top Hat 80
Krakowiak 80
Isicholo 80
Birthday Hat 80
Stringy Hair 80
Tam O'Shanter 79
Viking Helmet 79
Hennin 79
Clown Hair Green 78
Fedora 78
Gaucho 77
Santa Hat 77
Hoodie 77
Afro 77
Gat 76
Messy Hair 76
Purple Hair 76
Sibenik 75
Flamenco Hat 75
Panama Hat 75
Knitted Cap 75
Ayam 74
Cap Forward 74
Mohawk 73
Chichak Helmet 73
Chullo 73
Mohawk Dark 73
Wild Hair 73
Keffiyeh 72
Australian Cork Hat 71
Sun Hat 71
Boater 71
Frog Hood 70
Tuque 70
Beret 69
Bandana 69
Cowboy Hat 69
Viking Hat 68
Misango Cap 68
Crazy Hair 68
Bamboo Hat 66
Bororo 66
Frumpy Hair 65
Beanie 64
Purple Mohawk 61
Turban 61
Vampire Hair 48
Peak Spike 47
Newsboy Cap 43
Redmo Hawk 34
Super Hero Tiara 34
Straight Hair 33
Tiara 32
Wild White Hair 30
Pig Tails 30
Blonde Bob 29
Pink With Hat 28
Pilot Helmet 28
Wild Blonde 28
Blonde Short 27
Royal Cocktail Hat 27
Tassle Hat 26
Bow 24
Half Shaved 24
Straight Hair Blonde 23
Straight Hair Dark 23
Flowers 23
Dark Hair 21
Orange Side 17
Wallstreetbets Crazy 5
Rainbow Hair 5
Wallstreetbets 5
Rasta 5
Jester Hat 5
Pink Mohawk 5
Green Mohawk 4
Wallstreetbets Crazy Dark 3
Wallstreetbets Dark 3
This creates a unique issue where too many options makes everything some what rare. It does however create a lot of variety and unique characters.
Eyes is another interesting distribution. There are not as many eyes as there are hair but there are a few I wanted to be very rare.
punkgenerator --dry eyes
eyes
Clown Eyes Green 388
Horned Rim Glasses 380
Tears 373
Eye Mask 363
Vr 359
Heart Shades 351
Clown Eyes Blue 349
Regular Shades 347
3D Glasses 347
Big Shades 344
Small Shades 344
Ski Googles 342
Classic Shades 341
Nerd Glasses 338
Clown Eyes Purple 335
Eye Brows 223
Green Eye Shadow 140
Purple Eye Shadow 139
Blue Eye Shadow 133
Welding Goggles 115
Eye Patch 6
Wallstreetbets Big Shades 6
Laser Eyes 4
Laser Eyes Gold 3
Even though I chose four to be super rare, there are a lot of great eye slot accessories I really like.
I could go on and on, with talking about the distribution. There are so many unique combinations and choices made to come up with the final model for this project. I really like how it turned out, and I'm really excited to see everyone start minting their own Punks.
One thing you may have noticed, every Punk has their own unique name and a profession. This is a divergence from the original Crypto Punks project and I think adds a lot of character and an entertaining aspect to the Punk generation that even in the beta I noticed some great combinations.
Some of my favorites:
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