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Thread: Check my math.
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2010-10-01, 11:32 AM (ISO 8601)
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Check my math.
From what I've looked up, the average scorpion is approx 2.5 inches long, and weighs 60 grams. Using the 2x height, and 8x weight, rule. That means a human sized creature with the same body build (antro), if it was approx 6 feet, would weight almost 2 tonnes.
2.25 * 2^5 = 72
60 * 8^5 = 1.9 * 10^6
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2010-10-01, 11:57 AM (ISO 8601)
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- Aug 2010
Re: Check my math.
And that's why you can't have 6' scorpions in real life.
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2010-10-01, 12:11 PM (ISO 8601)
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- Jan 2010
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2010-10-01, 12:13 PM (ISO 8601)
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- Feb 2006
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- Seattle, WA
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Re: Check my math.
I believe the more correct term in this case is "big exoskeleton-ed".
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2010-10-01, 12:15 PM (ISO 8601)
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- Jan 2010
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2010-10-01, 05:36 PM (ISO 8601)
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- Nov 2005
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- Reading, England
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Re: Check my math.
The maths is correct, it's just unnecessarily difficult. It's easier to say the multiplier to find the new length is cubed to find the new weight. That is, the multiplier for height is 72/2.25 = 32, making the multiplier for weight 32^3 = 32,768.
Though if we're going to use real world physics in magical fantasy, other aspects should be considered. The ability to support your own weight is proportional to muscle cross section, which scales to the square of dimension multiplier whereas weight scales to its cube. Otherwise known as the square-cube law. As the scorpion grows larger, it becomes less able to support its own weight. This explains why elephants have thick legs. A scorpion may have to weaken its heavy armour. Which is good, otherwise its armour thickens by a factor of 32.
Just to kill more catgirls. Oxygen intake is proportional to lung surface area, which scales to the square whereas oxygen demand, in proportion to mass, scales to the cube. As the scorpion grows, it becomes shorter of 'breath'. The respiratory system of insects and arachnids is known to be weak compared to us mammals, which is why you don't get six foot insects or scorpions.
Another consequence of the square-cube law is heat loss. Larger creatures can retain heat better and don't need to eat so much. A larger scorpion may have to move out of the desert into temperate climates.
So, the six foot scorpion has paper thin armour, lives in temperate climates and suffocates on creation because its respiratory system is rubbish. Screw it, it's magic!Matthew Greet
My purpose in life is to play games.
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2010-10-01, 05:54 PM (ISO 8601)
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- May 2010
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- Wyvern
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Re: Check my math.
Alternatively, oxygen levels are as high as that of the Carboniferous period, which allows for giant insects of some types, or at least respiratory system that doesn't totally dominate them. Plus, you can explain Psionics, Magic, and Epic abilities as being unlocked by higher oxygen levels in all stages of life. And now you have just another one of the changes the Dungeons and Dragons gods made to the natural environment to make it awesome.
Last edited by Zeofar; 2010-10-01 at 06:09 PM.
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2010-10-01, 06:59 PM (ISO 8601)
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- Dec 2004
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- The Land of Angles
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2010-10-01, 07:05 PM (ISO 8601)
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- May 2004
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- Enterprise, Alabama
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Re: Check my math.
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2010-10-01, 09:28 PM (ISO 8601)
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- Jan 2010
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2010-10-01, 10:58 PM (ISO 8601)
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- Jun 2010
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2010-10-02, 04:51 AM (ISO 8601)
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- Nov 2005
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- Reading, England
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Re: Check my math.
The comparison of large and small scorpions assumes the same shape, proportions and materials. The fact that different materials have different strength to weight ratios is completely irrelevant.
As we're playing god with animal designs, giving giant scorpions lungs solves respiratory problem but is incompatible with existing, rigid, exo-skeleton design. The lung mechanism depends on expanding and contracting chest cavities. It needs overlapping armour plates or it exposes gaps as it breathes. The latter could be good for gaming reasons: "I aim my attack at a gap in its armour as it breathes in."Matthew Greet
My purpose in life is to play games.