
Lily lovebraids could survive the cloud and here's why
summary: lots of math to find out her weight is a total of 500lbs, cloud is steel and 1.2 tons, no blood splatter allows for finding materials, finding how much weight she could take if done right, and looked into psychology. if you have questions please drop them in the comments so I (ordinary sound) see it, as I'm open to answering questions.
The estimations:
I have a theory regarding lovebraids. She isn't dead, these toys are like 10-20 times stronger than a human, even in durability, so what if she isn't dead, just knocked out. The cloud appears to be made of steel with a shell being the cloud, which is hollow. By doing math we can equivalent that to about 37 tons at most, which makes sense given her weight.
So taking lily’s base weight and assuming it’s about 300 pounds, yet her in game model appears to be about 5'4 in height, which seems about the average, then calculating the mass of the smaller braids which I used the mass of horsehair cause that’s what the game says it is, and I assume were 2 inches in diameter and 50-60 ft in height due to being like MML who can stretch hundreds of feet.
Added that all up (accounting for less mass due to them being braids) gets to about 100
Now the big braid is about 3x the diameter so 6 inches, and same height
So new calculations get it to about 300 lbs (a big jump) So adding it all up: 300 + (100x2) + 300 = 800lbs So cloud weight is justified.
So the cloud falls about 100 feet from the air and watching the cloud fall we can see it took about 1.5 seconds for the cloud to hit the ground onto her. Using some kinetic energy calculations that gets to around 7.63 mj or energy.
Now we leave behind the past of estimations and enter the nightmare of the things that this ordinary sound does. Math warning
The actual math/science:
Let's start by calculating the cloud: earlier I thought It was 37 tons, and boy I'm wrong. You see it's 12ft wide, 10ft deep, and 5ft thick, which we can then deduce it's about 85% hollow. But hold on, that's only the steel top, what about the cloud itself? Well you see how they've been breaking reminds me of fiberglass, so I think their fiberglass for that reason. This makes the weight now 1,200 to 1,500lbs. A much more realistic number. This makes the mega jules now .132mj of impact. And while that may seem soft, that's actually the equivalent of a 35mph car crash, which would kill anyone with a blood splatter, but notice how there's no blood?
So by taking the weight of lily being 800 mostly from the braids, we also know the weight of the steel cloud being 1.2 tons, we have to find specific materials and methods to survive said cloud, and it would make sense to find the odds of survival. It was said lily has an artificial skeleton, so for the odds of survival we'll go with a grade 5 titanium skeleton. Now the reason we had to go grade 5, is because grade 4 titanium still buckets under weight, even PEEK wouldn't have higher than a 70% chance. The titanium skeleton has an MPa of 950 tensile and a yield of 880 MPa. The odds drop half of the survival odds with grade 4, 480MPa yield and 550MPa tensile.
Let's start with Aerospace grade plastic PEEK, she becomes an unkillable doll, with the percentile of 98% of survival, she walks away unscathed, well not mentally, there isn't much in terms of damage that would happen in this case except maybe 2-3 white stress marks. 100MPa yield and 170 MPa tensile.
Now let's go to Polyethylene. Polyethylene would leave the occasional stress mark, cracks in a couple spots, but she would survive, however damage would be garenteed, likely locking up her joints. If it's high density the odds are 70-80%, while low density Polyethylene would only give a less than 30% chance. High density 26MPa and low density 10MPa.
For reference on the materials I used, the average doll is made of abs plastic, so if she was made of it, she has a 40% chance at absolute most of survival. The result is most of the external plastic shatters, some parts being stuck in her. This is even with a truss structure internally, meaning regular doll plastics she's in absolute pain. 40MPa yield and 45MPa tensile.
Now let's do silicone. silicone alone wouldn't help as much as it should here, but we can make the hands and lower half of the head silicone for the movements. why don't we make her all silicone? because the resulting damage leaves her ribcage, skull, and upper arms and legs exposed, however in standard machining processes it's normal to combine polycarbonate and silicone. if we went full silicone shed be in excruciating pain after it. the following damage of all silicone would be exposed skull, exposed ribcage and heart, damaged upper arms and legs, and even more damage to the lower limbs. 0MPa yield and 11MPa tensile
Finally we go into polycarbonate. If Lily lovebraids was made of polycarbonate, which is the realistic option, there's spider web like cracks, small chips, and white marks, however she comes out 85% survival rate, however. The polycarbonate will absorb the initial weight of the 37.5 ton cloud, while the grade 5 titanium skeleton bares the static weight, better known as the sustained weight. so PC still seems reasonable. 62MPa yield and 72MPa tensile.and would have to be about 5-10mm thick.
so by knowing the .132 MJ, we can do the math and find the clouds peak impact (tensile) is 132 MPa, polycarbonate and grade 5 titanium get us above the number, from there we have to calculate the static weight, which is about 1.32MPa static weight. Grade 4 is under the initial impact (tensile) so the polycarbonate doesn't have enough structural integrity to be supported by the skeleton if said skeleton is weak, causing her to pop open like toothpaste being drove over by a land rover discovery, that polycarbonate has likely shattered and big bloody mess. However, because there was no blood, meaning scientifically she has survived however she's currently pinned, so she must use her hair to literally become a jack, and pull her doll body out.
Bring the hair into the equation, so because she could break herself whenever unless it was a titanium alloy skeleton, this would increase survival but would also have a higher chance of hurting at least one crucial organ. now considering the fact she's a giant doll essentially, she would need shock absorbing ball joints to move, which would also protect the joints from this surprisingly. I want to take a look at bridges for a second, their trusses are what keep them up, so likely inside the joints is many triangles to increase durability. Her skeletal structure specifically the ribs is also an arched torso, which makes it so the weight is distributed more so along the cage.
now let's do some math and calculate her exact weight. we know now her skeleton is grade 5 titanium which one cubic inch weighs .160lbs/in³ and a non dried calcium skeleton weighs 3500grams or nearly 20lbs. And we know she's 5'4.
Vskeleton= mass | density= 3500g | 1.9g/cm³ ≈ 1842.1cm³
Vskeleton= 1842.1cm³ | 16.387cm³/in³= 112.4in³
Weight=112.4in³ × 0.160lbs/in³ ≈ 17.984lbs
This gets us the final weight of 17.984lbs for her skeleton alone. the average weight of a healthy 5'4 persons insides excluding skin and skeleton is about 95lbs, the exact is 94.5 but I'll spare the numbers. now let's calculate the polycarbonate/silicone skin: body size average, and the silicone makes 5% of the weight here, while the polycarbonate makes 95%
BSA = 0.007184 × weight⁰.⁴²⁵ × height⁰.⁷²⁵
BSA ≈ 1.66m² ≈ 2,565 square inches.
polycarbonate: 2,437 in² × .394 in.× 0.0434lbs/in³ = 41.7lbs
Silicone: 128in² × 0.394in × 0.0452lbs/in³ = 2.3lbs
Total weight for the doll body: 156lbs.
This feels... Off, doesn't it? Well that's because most of these materials also weigh about human amount in weight, just they would make a person incredibly tanky, and nearly impossible to kill... And now we bring the cloud back into play. you see I messed up earlier, and I'll admit it, it's not 7.63mj, it's less. you see the dollhouse only looks to be about 40-50ft tall, and during the chase we climb about 15-25ft on the clouds before dropping one on her, so let's estimate about 65ft because if we kept the 100ft estimation that got us 7.63mj of force and 37 tons, that would make the steel into a dust and would break a lot more, also lily lovebraids would have died there then and a puff of dark red smoke, not catnaps, thats blood smoke. This makes the impact .132mj judging by how it broke and the lack of blood from lily, which actually makes it more survivable for her. but why does she survive? Well let's set some variables:
Cloud mass (m): 1,350lbs ≈612kg
Polycarbonate: 72mpa
Grade 5 titanium: 950mpa
F = KE | D
F = 132,000j | 0.1524 ≈866,141.7N
Impact force (Fpeak) = 866,141.7 × 2 ≈ 1,732,283N
Impact area(A) = 2,565in² × .35 = 897.75in² ≈ 0.579m²
Force is calculated as force divided by area (σ = F/A) σ = 1,732,283N | 0.579m² ≈ 2,991,853N/m² = 2.99mpa So we have to see if polycarbonate(72mpa) and grade 5 titanium (950mpa) can survive 2.99mpa, and sure enough the polycarbonate is 24x stronger than the mpa required.
the braids weight is next. Remember, the smaller 2 braids are only 2 inches in diameter while the big braid is 6 inches diameter, and for basically the entire game only extend a max of 20ft. I'm not calculating them breaking the catwalk in the final chase because we don't know how big the darkness is, so it's just gonna be me doing up to 20ft.
Smaller braids:
Radius (r) = 1 inch, height(h) 240 inches
V = π • (1²) • 240 ≈ 753.98in³
753.98 × 2 = 1,507.96in³
1,507.96in³ × 0.0469 lbs/in³ × 0.75 = 53lbs combined making each horse hair, add in the biological stuff into her braids to allow them to move and we get: 61.8lbs for the combined weight of the 2 braids.
Main braid:
Radius (r) = 3 inches, height(h) 240 inches
V = π • (3²) • 240 = π • 9 • 240 ≈ 6,785.84in³
6,785.84in³ × 0.0469 lbs/in³ × .75 = 238.7lbs. account for biological stuff internally and we get: 278.2lbs So add it all up:
278.2lbs + 61.8lbs + 156lbs + 8lbs for the clothing = 504lbs. Which means Lily's a little heavy
now 500lbs to 1,350lbs seems big, until you realize polycarbonate is tanky af. I know people won't read the math for this, but essentially stand in the middle of a bell, and let someone hit it, it's gonna hurt, your gonna be paralyzed for a bit, but that's basically what happens to lily here. She won't suffer any broken legs (it's fckin titanium that's never gonna break) she might be paralyzed for a bit or longer, but she survived with spiderwebbed cracks that won't give, lotta dust, and a bruised ego
The conclusion: science finds a way to say screw you beliefs, she isn't dead until we say she is. to the people who say "cope" then deny the listed facts. "oh a dev said it" devs like to be secretive! "oh she's dead" wheres the blood splatter, that's the only scientific way to prove she's dead. if you have questions feel free to ask, I have time
so her design would likely be a spider web like cracks across the entire body, small clips here and there, and white stress marks. that's it