Proposal to further define the dE checks for “red”

dE is the distance of zombie red from “true cryptopunks red”. The community voted on a general range (0-45) to include all existing bgan zombies: https://snapshot.org/#/bgansv2.eth/proposal/0x8d412311191b27743d82a38c3a4fe67a7af3fbb586e7bbbdc378d22fdd50775e

dE is a point in a 3D sphere (the L,a,b, color space) so it can come from any direction/angle (orange, blue, black, white and other mix etc…). To further define it and prevent abuse, I use the existing zombies and zombie hybrids in our collection as a baseline to set a mathematically calculated standard. L,a,b, and dE values are all important and they move together to create color and baseline. The formulas generated will create a range/barrier so that any future zombie eye color must be within these ranges before it to be considered for inclusion. L stands for lightness which is the white and black range (0,100) a stands for the green-red range (-128,128) b stands for the blue-yellow range (-128,128)

The following values are derived from our zombies and zombie hybrids: dE range 0-10: L (min: 43.89, max: 57.58) a (min: 55.36, max:79.98) b (min: 39.54, max: 65.52) dE: (min: 0, max: 9.99) Regression formula to calculate theoretical dE from L,a,b, value: y= 37.5196-0.2867L-0.0905a-0.2025b Δ= y-dE (min: -3.38, max: 1.74)

dE range 10-20: L (min: 33.78, max: 62.21) a (min: 44.17, max: 81.41) b (min: 22.84, max: 56.82) dE: (min: 10, max: 19.99) Regression formula to calculate theoretical dE from L,a,b, value: y= 39.3748-0.3938L+0.0044a-0.2048b Δ= y-dE (min: -6.50, max: 2.75)

dE range 20-30: L (min: 21.50, max: 36.91) a (min: 36.37, max: 55.80) b (min: 7.71, max: 44.49) dE: (min: 20, max: 29.99) Regression formula to calculate theoretical dE from L,a,b, value: y= 46.6349-0.5567L+0.0258a-0.2164b Δ= y-dE (min: -1.44, max: 1.16)

dE range 30-45: L (min: 6.92, max: 24.32) a (min: 25.62, max: 44.33) b (min: 9.29, max: 28.41) dE: (min: 30, max: 44.99) Regression formula to calculate theoretical dE from L,a,b, value: y= 48.7738-0.5091L-0.0537a-0.2103b Δ= y-dE (min: -0.31, max: 0.34)

To qualify for zombie or zombie hybrid types, in addition to what is mentioned in the constitution, a pupil’s value has to be within these ranges, depending on their dE range 0-10 or 10-20 etc…