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.
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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