Wraith Memory Snapshot

Greetings, esteemed Tyrant(s).

Today, I'll bring forth an approximation of mammary performance and familiar standard for measurement of size for our acquaintance, the Sentinel of Dawn, Wraith. Such work is indeed will require a significant amount of explanation, therefore I have provided a TL:DR at the very end if you are lazy circumstances prohibits Your Honor from indulging with the specifics.

I: Body Height and Breast Size

According to the chart made by u/rosesdissection (Stella Sora Height tier list), the MTyrant's height is 177.8 cm (5'10). Wraith doesn't get included in the chart, so we must first compare her height with someone from the chart:

Height comparison between MTyrant

As you can see Wraith's height (including her shoes) is approximately equal to MTyrant's, her shoes appear to have 2 inch heel. By subtracting the height of MTyrant with the heel height, we should get the biological height of Wraith:

177.8 - 5.08 = 172.72 (5'8)

Now we have a base length we could use to measure other features, primarily her breast. By using shape construction technique, we could get the relative size of Wraith's features:

Wraith proportion chart relative to her height for Variant A

Before we proceed calculating her height, it's worth to note that the chart we have made is rather inaccurate. Presumably from parallax effect due to perspective, non-neutral pose, and deviation from realistic anatomy. The inaccuracy for the chart can be measured by the pair of line in the middle line, near her crotch, where the lines deviate approximately 4.7% from it's expected place. Due to how the chart is built, that means the inaccuracy of this chart is around 9.4% not accounting for human error.

Now we can calculate the width and length of her torso to get her band and bust size, note that the number that we get is the projection length due to she's drawn at an angle, but we'll address that later. According to the chart, her projected proportions are as follows:

Let x be Wraith's body height,
band length = x - x/2 - x/4 - x/8 - x/16 + x/32 + x/64 + x/128 = 20.24 cm (7.9 inch)
band width = x - x/2 - x/4 - x/8 - x/16 - x/32 + x/64 + x/128 = 9.45 cm(3.7 inch)
bust length = x - x/2 - x/4 - x/8 + x/16 + x/32 + x/64 = 40.48 cm (15.9 inch)
bust width = x - x/2 - x/4 - x/8 - x/16 = 10.8 cm (4.3 inches)

As we have mentioned before, her body on the sprite is shown at an angle, it can be noticed from the overlapping breast (the red chart on her torso). According to the chart, the overlap between the two breast is 25% of the span. We can get the angle of which she is facing the camera by:

Let a be the angle she is facing the camera,
25% = sin(a) * 100%
a = sin^(-1)( 25/100 ) = 14.478..

To get the true length of her measurement, we just need to inverse the projection applied:

Let P be the projected size and L be the true size,
P = L * cos(14.478..)
L = P / cos(14.478..)

true band length = 20.24 / cos(14.478..) = 20.95 cm (8.2 inch)
true band width = 9.45 / |cos(14.478.. + 90)| = 36.50 cm (14.4 inch)
true bust length = 40.48 / cos(14.478..) = 41.91 cm (16.5 inch)
true bust width= 10.8 / |cos(14.478.. + 90)| = 41.71 cm (16.4 inch)

band square circum. = 2*20.24 + 2*9.45 = 114.90 cm (45.2 inch)
bust square circum. = 2*40.48 + 2*10.8 = 167.24 cm (65.8 inch)

However, the cross-section of the rib cage and the torso is not a square and more leaning to an oval. To approximate the circumference as an ellipsoid, we will use Ramanujan's second approximation (Wikipedia). But it isn't completely an ellipsoid either, so we will combine both approximation with weight, we should also prefer the bust square approx. over the ellipsoid because the cross-section should lean towards rounded square:

band ellipse circum. = 91.90 cm (36.2 inch)
bust ellipse circum. = 131.35 cm (51.7 inch)

Let 0.5 be the weight for each band measurement,
band approx. circum. = 114.90*0.5 + 91.90*0.5 = 103.40 cm (40.7 inch)

Let 0.33.. be the weight for bust ellipsoid approx. and 0.66.. be the weight for bust square approx,
bust approx. circum. = 167.24*0.33.. + 131.35*0.66.. = 143.31 cm (56.4 inch)

Now that we have Wraith's band and bust size, we can get her bra size. Her difference between the band and bust size is 39.91 cm (15,7 inch), and we'll round it down to 15 inch (38.1 cm). That means, her bra size should be 40O (US).

II: Postpartum Condition and Milk Production

According to this paper, the production of breast milk is weakly related to the breast volume pre-pregnancy, even more weak for during postpartum. Breast milk production is highly influenced by the milk removal frequency and multitude of factors regardless of breast size, making it hard to accurately predict. But we are going to use it anyway since if we don't, it wouldn't be interesting.

Based on the paper, breast size increases about 34.48% after pregnancy. By using the formula described in this paper (ResearchGate), we can estimate Wraith's breast base radius and then get her breast volume:

Let f be the ratio between breast radius and chest circumference,
f = (38.5 / (2 * pi) ) / 73.3
f = 38.5 / (73.3 * 2 * pi)
f = 0.084..

Wraith's base radius = f * band approx. circum. = 8.64 cm (3.4 inch)

Let V be the breast volume,
V = 0.31 * pi * r^(3)

Wraith's one breast volume = 0.31 * pi * (8.64)^(3) = 628 mL (21.2 oz)
Wraith's one breast volume post. = 628 * (1 + 34.48%) = 846 mL (28.6 oz)
volume difference = 216 mL (7.3 oz)

Using the linear regression analysis table provided by the previous paper, we can build a prediction function for milk production (MP):

Let a be the maternal age, b be the maternal BMI, c be the one breast volume difference, and d be the intersect,
MP = -7.77 * a + -8.416 * b + 0.168 * c + d

d = MP - (-7.77 * a + -8.416 * b + 0.168 * c)
d = 718 - (-7.77 * 33.3 + -8.416 * 27.1 + 0.168 * 192)
d = 1172.5586

Assuming her maternal age is 27.5 (the average on US 2023). Assuming her BMI is at the last quartile of the healthy BMI range at that age, which is about 22.84, because of her larger posture compared to other characters. That means Wraith's milk production per 24 hours is as follows:

MP = -7.77 * 27.5 + -8.416 * 22.84 + 0.168 * 216 + 1172.5586
MP = 803 mL (27.2 oz) / 24 h

III: Conclusion and Afterword

At her current state, Wraith's bra size is about 40O (US). During postpartum, her breast volume will increase by 216 mL (7.3 oz) for each breast. And she should produce about 803 mL (27.2 oz) of breast milk per day. But do note that this estimation bears a large margin of error, thus actual data might differs greatly.

For comparison the average bra size is about 34DD (US). The average breast volume increase postpartum is 192 mL (6.5 oz) for each breast. And the average breast milk produced per day is 718 mL.

Whether this performance can satiate someone's insatiable thirst. It's ultimately depends on the person, and it can varies greatly between individual.

This post is only meant to be a joke, please do not start unhealthy interaction because of it, let alone treat it as an absolute truth. And if any of you, esteemed Tyrant(s), gained revelation to improve and/or continue such endeavor, please do follow it and spread the benefit of it to us all.

TL:DR

Wraith's bra size is 40O (US). After pregnancy, her breast volume will increase by 216 mL (7.3 oz) for each breast. And she'll produce a total of 803 mL (27.2 oz) of breast milk per day, do note that the actual value might differs.

Edit: formatting, typos, and missing details.