https://vsbattles.fandom.com/wiki/User_blog:Rodri_%22Dante%22/Homestuck_calcs#First_Calc
Dave and the rest of the kids have been at Large Mountain level to Island level for a while. Unfortunately, this is completely wrong.
Let's begin.[]
Calculation 1a-f: Dave, Derse chain link, Derse's chain, moon, Derse itself, and the Derse system[]
In the original calc, Dave was listed at approximately 3'5" via scaling from Andrew Hussie's sprite. For a 13 year old kid, I thought that was a little ridiculous, and height is very... variable in Homestuck. I was around 5'8" (68 inches, 1.73 meters) when I was 13, so that's the base measurement we'll be using. Consider this Calculation 1a.
Dave is 33 pixels tall in this picture. The half-chain link is 316 pixels tall.
Using proportions, we'll use 33 px/68 in = 316 px/x in, and solve for X.
- 316 times 68 = 21488
- 21488 / 33 = 651.151515 inches
- 651.151515 inches / 12 = 54'3" / 16.54 meters
Fantastic. That seems to be half of a single chain link, so we'll just double that to get 108'6" / 33.08 meters for our chain link measurement. Consider that Calculation 1b.
So as previously established, we've determined a single chain link to be 108'6" (1302 inches) from end to end. This is our green measurement. I've also determined that a single chain link in this picture is 14px long. (I've rotated this picture in MS Paint to make it easier to calculate.) (Yes, I'm aware it's the void session's Derse. No, the absence of beta Derse's twin towers doesn't make a difference, nor does the size change due to the successful prototyping. I've checked.)
Our red measurement (Calculation 1c) is finding out the length of the chain. The chain is 94 pixels long. 14 px/1302 in = 94 px/X in. It's scaling time.
- 1302 x 94 = 122388
- 122388 / 14 = 8742 inches
- 8742 inches / 12 = 728'6" / 222.08 meters
Our next big calculation, Calculation 1d (the blue calculation), is Derse's moon. The moon is 68 pixels in diameter, not counting buildings. 14 px/1302 in = 68 px/X in.
- 1302 x 68 = 88536
- 88536 / 14 = 6324 inches
- 6324 inches / 12 = 527" / 160.63 meters (radius = 80.32 meters)
After this, we can calculate Derse itself, which will be our orange measurement (Calculation 1e). Derse is 170 pixels in diameter, not counting buildings. 14 px/1302 in = 170 px/X in.
- 1302 x 170 = 221340
- 221340 / 14 = 15810 inches
- 15810 inches / 12 = 1317'6" / 401.57 meters (radius = 200.79 meters)
For kicks, we'll do the entire Derse system too. This is our final calculation (1f, pink). It's 332 pixels long, not counting buildings. 14 px/1302 in = 332 px/X in.
- 1302 x 332 = 432264
- 432264 / 14 = 30876 inches
- 30876 inches / 12 = 2573" / 784.25 meters
I apologize for my outrageous statement. GojiBoyForever, not only was I a fool to doubt you, but I was a fool to doubt myself as well. Derse was never the size of a town.
It's smaller.
With that out of the way, let's move to the juicy shit.
Calculation 2a and 2b: Mass of Derse's moon / Derse[]
Our saving grace is going to be this sphere weight calculator. We'll use the density of Earth (5.51 g/cm³), since that's what Rodri used in the original calc.
If you'll recall, we earlier calc'd out the radius of Derse's moon to be 80.32 meters. We'll simply plug in our values for density and radius to get a mass of 1.19594528E+10 kilograms, which is... 7622724.58 times less massive than the conservative estimate for the last calc. Divide it yourself if you don't believe me. (9.11636148e+16 / 1.19594528e+10)
Likewise, the radius for Derse is 200.79 meters. Once again, we plug and chug, and get a mass of 1.86838532E+11 kilograms this time around.
Calculation 3: Dave breaks Derse's chain[]
Rodri, I do hope you don't mind me ganking your pixel measurements. They're very helpful.
The chain starts drifting as soon as Dave breaks it.
- Dave's height: 1.73 meters (See Calculation 1a)
- Distance: (1.73/55)*209 = 6.574 meters
- Timeframe: 0.30 seconds (See original calc)
- Speed: 6.574*(1/0.30) = 21.9133 m/s
So after calculating all that, we plug in the mass of Derse's moon as well as our speed into this kinetic energy calculator to get our final answer of 2871420000000 J. That's 8-A, Multi-City Block level. Given that the chain can withstand that much force, breaking it must take a greater than force.
This affects every Homestuck kid's base key. Primarily Dave Strider, and then John Egbert, Rose Lalonde, Jade Harley, Jane Crocker, Roxy Lalonde, Dirk Strider, and Jake English by scaling.
Well, supposedly, at least. The original calc said this feat scaled to everyone, but I'm really not so sure, considering it's a cutting feat with a sword only Dave and Liv Tyler have. Need more input.