Large Size Calculations

In fiction, there are many characters of Large Size. When it comes to tiering them their size alone can be an indicator of their statistics. This page explains which statistics can and can't be calculated from size alone.
==Attack Potency==
The physical attack potency, and with it the durability, can be estimated from the size of a character alone.
That follows a simple conservative estimation: Any character can at least just fall unto someone. In other words, their potential energy can be used to attack. The only prerequisite to this method is that the character should be at least Type 0 Size on the Large Size scale.
In order to perform the calculation one will need the mass of the character and its center of mass.
The center of mass of a human-shaped character is about 10 cm below the navel, albeit this varies from individual to individual. Generally one can estimate that it is around 50% of the body height up.
In order to find the mass of the character upscaling methods are helpful. If the character is x-times larger than its normal-sized counterpart, and made of roughly the same materials, then its mass would be about x^3-times larger.
With this information, the energy can be calculated via the usual GPE methods.
Except for very large characters that is simply "Potential energy = mass*9.81*height of center of gravity". Mass should be in kilogram and height in meter. The result is in joule.
An alternative method to calculate Attack Potency from size is from Kinetic Energy. There one takes the mass of the character and uses its running speed to get Kinetic Energy via "Kinetic Energy = 0.5*Mass*(Running speed)^2". Here mass should be in kilogram and running speed in meter per second. The result is in joule.
The best practice is to measure the speed directly from the source material. Should that not be possible, but it is known that the character moves relative to its size as fast or faster than its normal-sized counterpart, upscaled speed can be used. To confirm that they are that fast, it must be clear that they, for instance, take steps within the same timeframe or less than a normal human would. If that is the case, then their speed should be x-times higher than that of their normal-sized counterpart, if they are x-times larger.
==Lifting Strength==
Lifting Strength could be calculated from size with only clearly defined assumptions. While it is intuitive that characters have to lift their own body weight to move around, lifting strength is the weight that they can lift in addition to that. Like any other characters, a lifting strength level has to be shown, or at least reasonably deduced, to be considered valid. Therefore, the character should demonstrate itself to be capable of performing a lifting strength feat to have the lifting strength tiered to the yield of the feat in question.
It is worth noting that there are cases where giant characters have to push around other giant characters or engage in physical brawls with them. In such cases, the masses of the combatants involved can be taken as lifting strength yields. In a similar fashion, a giant character capable of doing push-ups, sit-ups or squats; jumping reasonably high, or performing strength-demanding acrobatics can have their own mass taken as lifting strength.
There may be evidence that the reference figures these giant characters scale up from can lift far more than their own weight (e.g. a centipede can lift up to 15 times its own weight). However, it has currently been agreed that such considerations should not be taken into account (i.e. characters only get their yields as if they are normal humans) unless there are very strong official statements, and knowledgeable staff members give particular exemptions or allowances.
==Speed==
As mentioned in the AP section speed can under circumstances be taken from size. An x-times larger character should also be x-times faster. However, strict confirmation is necessary.
==Standard Tables==
In the following we want to give some standard values for giants, which are upscaled average humans. For that purpose we would assume the following values for it's non-upscaled version:
Average Human Weight = 62kg
Average Female Height = 1.595m
Average Male Height = 1.71m
Average Sprinting Speed = 5.55 m/s (approx. based on this and this)
Besides this, the only assumption for the first table to apply is that the density of the giant is equal to that of an average human. 
Note that values below 5 meters are cut off, due to the rules regarding large size explained above.
===Potential Energy Method===
The table is based on the gravitational potential energy and uses the method regarding that explained in the Attack Potency section above.
Tier 	Height (male) in m	Height (female) in m
9-B 	5 	5
9-B+ 	20.3631 	19.3272
9-A 	24.2117 	22.9799
9-A+ 	54.3959 	51.6285
8-C 	64.4439 	61.1653
8-C+ 	93.7864 	89.015
High 8-C 	108.284 	102.776
High 8-C+	145.388 	137.991
8-B 	165.796 	157.361
8-B+ 	248.461 	235.82
8-A 	287.859 	273.215
8-A+ 	440.879 	418.449
Low 7-C 	511.897 	485.854
Low 7-C+ 	694.963 	659.607
7-C 	794.863 	754.424
7-C+ 	1380.36 	1310.14
High 7-C 	1618.79 	1536.44
High 7-C+	2479.35 	2353.2
Low 7-B 	2878.74 	2732.28
Low 7-B+ 	3981.9 	3779.31
7-B 	4563.77 	4331.57
7-B+ 	7772.1 	7376.64
7-A 	9104.49 	8641.22
7-A+ 	13945.5 	13235.9
High 7-A 	16192.6 	15368.5
High 7-A+	20672.4 	19620.3
6-C 	23329.2 	22141.9
6-C+ 	43538 	41321.2
High 6-C 	51240.5 	48631.2
High 6-C+	78520.5 	74519.9
Low 6-B 	91191.1 	86543.9
Low 6-B+ 	129020 	122440
6-B 	148545 	140967
6-B+ 	247477 	234829
High 6-B 	289479 	274674
High 6-B+	418029 	396601
6-A 	482532 	457769
6-A+ 	658248 	624364
High 6-A 	754234 	715346
High 6-A+	6.24115×10^6 	5.89656×10^6
5-C 	7.54644×10^6 	7.12503×10^6
5-C+ 	1.34412×10^7 	1.26613×10^7
Low 5-B 	1.61075×10^7 	1.51611×10^7
Low 5-B+ 	5.81334×10^7 	5.44432×10^7
5-B 	7.22777×10^7 	6.76467×10^7
5-B+ 	1.9928×10^8 	1.86141×10^8
5-A 	2.48334×10^8 	2.319×10^8
5-A+ 	3.54725×10^9 	3.30897×10^9
High 5-A 	4.47031×10^9 	4.16996×10^9
High 5-A+	2.72563×10^10 	2.54236×10^10
Low 4-C 	3.43397×10^10 	3.20306×10^10
Low 4-C+ 	7.28616×10^10 	6.79618×10^10
4-C 	9.01898×10^10 	8.41247×10^10
4-C+ 	1.34328×10^11 	1.25294×10^11
High 4-C 	1.60049×10^11 	1.49286×10^11
High 4-C+	1.13694×10^12 	1.06048×10^12
4-B 	1.43245×10^12 	1.33611×10^12
4-B+ 	1.08834×10^16 	1.01515x10^16
4-A 	1.37351×10^16 	1.28114x10^16
4-A+ 	8.79096×10^18 	8.19975x10^18
3-C 	1.10619×10^19 	1.03180x10^19
3-C+ 	8.21465×10^19 	7.66220x10^19
3-B 	1.03458×10^20 	9.65002x10^19
3-B+ 	5.66464×10^27 	5.28369x10^27
3-A 	7.14543×10^27 	6.66489x10^27
===Kinetic Energy Method===
The following method is based on the kinetic energy method instead. This additionally needs the assumption that the speed-size ratio of the giant is equal to that of a normal human. The table will also include speed corresponding to that assumption. As faster than lightspeed kinetic energy can't be calculated, those values were excluded. This table does not consider relativistic aspects of kinetic energy.
Tier 	Height (male) in m	Height (female) in m	Speed (male) in m/s	Speed (female) in m/s
9-B 	5 	5 	1.62E+01 	1.74E+01
9-B+ 	1.10E+01 	1.03E+01 	3.57E+01 	3.58E+01
9-A 	1.26E+01 	1.18E+01 	4.89E+01 	4.10E+01
9-A+ 	2.41E+01 	2.25E+01 	7.83E+01 	7.83E+01
8-C 	2.76E+01 	2.57E+01 	8.96E+01 	8.96E+01
8-C+ 	3.73E+01 	3.48E+01 	1.21E+02 	1.21E+02
High 8-C 	4.18E+01 	3.90E+01 	1.36E+02 	1.36E+02
High 8-C+	5.30E+01 	4.94E+01 	1.72E+02 	1.72E+02
8-B 	5.88E+01 	5.49E+01 	1.91E+02 	1.91E+02
8-B+ 	8.13E+01 	7.58E+01 	2.64E+02 	2.64E+02
8-A 	9.15E+01 	8.53E+01 	2.97E+02 	2.97E+02
8-A+ 	1.29E+02 	1.20E+02 	4.18E+02 	4.18E+02
Low 7-C 	1.45E+02 	1.35E+02 	4.71E+02 	4.71E+02
Low 7-C+ 	1.85E+02 	1.73E+02 	6.01E+02 	6.01E+02
7-C 	2.06E+02 	1.92E+02 	6.69E+02 	6.69E+02
7-C+ 	3.21E+02 	2.99E+02 	1.04E+03 	1.04E+03
High 7-C 	3.64E+02 	3.40E+02 	1.18E+03 	1.18E+03
High 7-C+	5.12E+02 	4.78E+02 	1.66E+03 	1.66E+03
Low 7-B 	5.77E+02 	5.38E+02 	1.87E+03 	1.87E+03
Low 7-B+ 	7.48E+02 	6.98E+02 	2.43E+03 	2.43E+03
7-B 	8.34E+02 	7.78E+02 	2.71E+03 	2.71E+03
7-B+ 	1.28E+03 	1.19E+03 	4.15E+03 	4.15E+03
7-A 	1.45E+03 	1.35E+03 	4.71E+03 	4.71E+03
7-A+ 	2.04E+03 	1.90E+03 	6.62E+03 	6.62E+03
High 7-A 	2.30E+03 	2.14E+03 	7.46E+03 	7.46E+03
High 7-A+	2.79E+03 	2.60E+03 	9.06E+03 	9.06E+03
6-C 	3.08E+03 	2.87E+03 	9.98E+03 	9.98E+03
6-C+ 	5.07E+03 	4.73E+03 	1.64E+04 	1.64E+04
High 6-C 	5.77E+03 	5.38E+03 	1.87E+04 	1.87E+04
High 6-C+	8.12E+03 	7.57E+03 	2.63E+04 	2.63E+04
Low 6-B 	9.15E+03 	8.53E+03 	2.97E+04 	2.97E+04
Low 6-B+ 	1.21E+04 	1.13E+04 	3.92E+04 	3.92E+04
6-B 	1.35E+04 	1.26E+04 	4.38E+04 	4.38E+04
6-B+ 	2.03E+04 	1.89E+04 	6.58E+04 	6.58E+04
High 6-B 	2.30E+04 	2.14E+04 	7.46E+04 	7.46E+04
High 6-B+	3.08E+04 	2.87E+04 	9.98E+04 	9.98E+04
6-A 	3.45E+04 	3.22E+04 	1.12E+05 	1.12E+05
6-A+ 	4.41E+04 	4.11E+04 	1.43E+05 	1.43E+05
High 6-A 	4.91E+04 	4.58E+04 	1.59E+05 	1.59E+05
High 6-A+	2.49E+05 	2.32E+05 	8.07E+05 	8.07E+05
5-C 	2.86E+05 	2.66E+05 	9.27E+05 	9.27E+05
5-C+ 	4.31E+05 	4.02E+05 	1.40E+06 	1.40E+06
Low 5-B 	4.88E+05 	4.55E+05 	1.58E+06 	1.58E+06
Low 5-B+ 	1.14E+06 	1.06E+06 	3.70E+06 	3.70E+06
5-B 	1.31E+06 	1.22E+06 	4.24E+06 	4.24E+06
5-B+ 	2.45E+06 	2.29E+06 	7.95E+06 	7.95E+06
5-A 	2.80E+06 	2.61E+06 	9.10E+06 	9.10E+06
5-A+ 	1.40E+07 	1.30E+07 	4.53E+07 	4.53E+07
High 5-A 	1.60E+07 	1.49E+07 	5.20E+07 	5.20E+07
High 5-A+	4.75E+07 	4.43E+07 	1.54E+08 	1.54E+08
Low 4-C 	5.45E+07 	5.08E+07 	1.77E+08 	1.77E+08
Low 4-C+ 	8.56E+07 	7.99E+07 	2.78E+08 	2.78E+08
===Range Proportionality Method===
The third method is based on the ratio between the size of the character and the range of their melee strikes. It is measured from the portional relationship between size and range, as explained here. 
Range 	Minimum Value (Conventional Terms)	Minimum Value (in Meters)	Size Required (Conventional Terms)	Size Required (in Meters)
Extended Melee Range 	1 meter 	1 meter 	2.794 meters 	2.794 meters
Several Meters 	3 meters 	3 meters 	8.382 meters 	8.382 meters
Tens of Meters 	10 meters 	10 meters 	27.94 meters 	27.94 meters
Hundreds of Meters 	100 meters 	100 meters 	279.4 meters 	279.4 meters
Kilometers 	1 kilometer 	1000 meters 	2.794 kilometers 	2794 meters
Tens of Kilometers 	10 kilometers 	10000 meters 	27.94 kilometers 	27940 meters
Hundreds of Kilometers 	100 kilometers 	100000 meters 	279.4 kilometers 	279400 meters
Thousands of Kilometers	1 megameter 	1E+6 meters 	2.794 megameters 	2.794E+6 meters
Planetary 	20.037 megameters 	2.0037E+7 meters 	55.983378 megameters 	5.5983387E+7 meters
Stellar 	1.3914 gigameters 	1.3914E+9 meters 	3.8875716 gigameters 	3.8875716E+9 meters
Interplanetary 	50.29 gigameters 	5.029E+10 meters 	140.51026 gigameters 	1.4051026E+11 meters
Interstellar 	4.22 light years 	3.9924E+16 meters 	11.79068 light years 	1.11548446E+17 meters
Galactic 	50000 light years 	4.73037E+20 meters 	139700 light years 	1.321664E+21 meters
Intergalactic 	2.5 million light years 	2.3651826E+22 meters 	6.985 million light years 	6.6083202E+22 meters
Universal 	46.6 billion light years 	4.40870040022E+26 meters 	130.2004 billion light years 	1.231790891822E+27 meters
==See also==
*Planet Curvature Scaling
*Calculations Introduction and References
*Other Calculation Instructions
Category:Calculation Instructions