The Pokédex is WEIRD (with @standupmaths)

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Published 2022-11-23
Oxford University Mathematician Dr Tom Crawford explores the maths behind some of the strangest Pokédex entries… with a cameo from Matt Parker @standupmaths. Check out his video on the Pokémon Calculator here:    • How commas broke the Pokémon calculat...  

Content based on the original article by TRM intern Sam Flower. Read it here: tomrocksmaths.com/2021/12/10/maths-of-the-pokedex/

All in-game footage and images are copyright The Pokémon Company, Gamefreak and Nintendo. They are shown under a fair-use policy for the purposes of education and review.

Here are the Pokémon considered and why their Pokédex entries are ridiculous...

Wailord: has a density lighter than air, despite living underwater.
Cosmoem: has a density higher than a black hole.
Magcargo: 50 of them could power the UK.
Bewear: creates more force than a car crash at 30mph.
Rhyhorn: has more power than 1000 lbs of explosive.
Blaziken: has a standing jump of over 100m.

Produced by Dr Tom Crawford at the University of Oxford. Tom is an Early-Career Teaching and Outreach Fellow at St Edmund Hall: www.seh.ox.ac.uk/people/tom-crawford

For more maths content check out Tom's website
tomrocksmaths.com/

You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.

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With thanks to
Matt Parker
Sam Flower
Nintendo
Gamefreak
The Pokémon Company
DaddyGamer Fred
Bilovitskiy
Andrew Whale
Mars Inc.
NASA
Britax
Chris Vids
U.S. Navy Seal and SWCC

All Comments (21)
  • @donniemorrow
    I saw a theory that the Pokedex isn't a scientific document so much as it is a child's diary. Complete with the child-like hyperbole leading to some of the more ridiculous entries. It could explain why the Pokedex entries remain blank until you (the child protagonist) have caught the Pokemon, and could explain why there's a different Pokedex entry in each game & region as different protagonists of different ages and experience levels fill out their Pokedexes
  • @NovaSaber
    Hearing physics approximations mentioned in connection with Pokemon made me realize...a Miltank using Rollout is an actual spherical cow.
  • Wailord being a blimp has been so ingrained in me that I wrongly remembered it as a water/flying type for years
  • I like how the quest6ion you asked for magcargo was "How many mars bars does it eat", not "How far do you have to stay from this thing to avoid spontaneous combustion?"
  • A fun video and a neat collab! Some notes from a nerd below. Wailord is the "float whale" Pokemon: aka, a living blimp. It does float above land, when you use it in the game. Maybe it uses float bladders like a fish in water like a ballast of sorts, but in this case it inflates like a helium balloon. Cosmoem is based on a black hole, so it's hard to say what's possible there, and Magcargo is sentient lava, which is a bit hard to nail down. Also, Baziken is a chicken. Blaze-Chicken. Evolves from Torchick... the chick Pokemon. Still had fun with the video, the confusion there just made me laugh a bit.
  • @kantpredict
    Some of the stats make perfect sense as calculated, as Waillord is meant to be a blimp and Cosmoem is meant to be a black hole. The 18,000°F for Maccargo seems to be flavour text, so makes less sense.
  • The high density of the star shaped pokemon isn't that unusual considering its density is an order-of-magnitude lower than the density of a white dwarf star, and it's nowhere near neutron star densities. But to compare it to the density of a massive black hole is a little misleading as black hole density is actually inversely proportional to the square of the Schwarzschild radius. They get less dense as they increase in size! Specifically, given a non-rotating uncharged black hole, the average density is: (3 c^2)/(8 G Pi R^2) with R being the Schwarzschild radius So if you're going to compare it to a huge black hole, it actually makes sense for it to have a higher density because it's smaller. Damn I feel like an annoying pedant :( (black holes do that to me, I suppose 😅)
  • @iveharzing
    Sag A* actually has a pretty low density when compared to smaller black holes. The density of a black hole (if you define the volume to be everything inside the Schwarzschild Radius) is: (3 c^6) / (32 pi G^3 M^2) Cosmoem has the same density as a black hole with a mass of 1.36 million Solar masses. Any black hole with a lower mass than that has a higher density than Cosmoem.
  • @addymant
    Excellent video! Just a note though, Blaziken is a chicken, not a fox. You might've confused it with Fennekin or Braixen which are from another fire-type starter evolutionary line and are based on fennec foxes.
  • @SebiStr99
    Magcargo having a power output of almost 1.21GW is pretty funny, considering the absolute coincidence involved in 2 pop-cultures meeting at almost the same number. So if Pokemon were in the Back to the Future Universe. It would have been fairly easy to get the necessary power for a second time jump, simply by catching 2 Magcargo and converting just over half their output into electricity
  • Actually, Wailord was kinda inspired by Zeppelin's so that kinda makes sense(?) Also Cosmoem is also inspired in a black hole so also kinda makes sense
  • @art.65367
    Mom: What did you learn in Maths today? Me: It's complicated...
  • Here's another fun fact. 1,200MW is more commonly referred to as 1.20 gigawatts! Magcargo radiates enough energy to power a specific time travelling DeLorean from Back to the Future, continuously. Doc Brown would be proud!
  • Cosmog having a density "higher than a black hole" is a little deceptive: black holes are weird where the bigger they are the less dense they are, so supermassive black holes can have a density lower than water. The reason is that radius is linear with mass (Schwarzschild radius), implying volume is cubic with mass. Density is mass over volume, so density is inversely proportional to mass squared. The SgrA* black hole would have a density 10x more than cosmog (100 current density) if the black hole was 1/10th as massive.
  • With Bewear's strength, I think contextualizing it like a car crash isn't particularly helpful. Something that weighs ~300kg (a little over 2x the weight of Bewear) will apply a force of 3000N down due to gravity. If Bewear can lift twice it's body weight, then it can apply 3000N of force.
  • @MrBelguin
    My favourite is that Magikarp, the world's most pathetic pokemon, can – according to the Platinum dex – jump over mountains using its signature move Splash. The lowest elevation the UN recognises as a 'mountainous environment' is 300 meters, and to jump 300 meter up, it would have to have an initial speed of 76.71 m/s, which is 276.1 km/h or 171.6 mph (this is ignoring both that it would need to retain some horizontal velocity at the top to get to the other side of the mountain, and that it would lose speed to air resistance). A Magikarp is 22.0 lbs or 10.0 kg, so you would think getting hit by it at that speed would do any damage, whatsoever. What actually happens if you use Splash is that 'The user just flops and splashes around to no effect at all...'
  • @oniaisu8560
    "the blimp pokeman floats like a blimp" "yeah no shit" "the star pokeman has the density of a star" "again. no shit." quality video
  • @HienNguyenHMN
    I can tell Tom's a real fan of Pokemon because he knows the "height" given of a long Pokemon is actually its length. (Look up the stats of any "snake" Pokemon)
  • The density of the actual black hole part of saggitarius A* is 10^16 kg/m^2. You can easily check if cosmoem is a black hole by checking if its shwatrzchild radius is larger than it, which it is very much not at only 10^-22 cm.
  • Wailord is called "the float whale pokemon" - it's basically a blimp! I think the lighter than air thing is intentional!