A base-12 metric system would be absolutely gorgeous. Geometry and trigonometry would be greatly simplified with a duodecimal unit circle. Our 360-degree circle is a truly ugly hack to make geometry play nice with a decimal number system.
Our base-10 number system would be as ugly to a duodecimal society as a base-7 system would be to us.
Base-6 wouldn’t be bad at all. “100” in base 6 is 36 in base 10. Their metricated unit circle would have three times as many “degree” divisions as we have hours on a clock.
Base 7 or 14 would require something akin to the sexagesimal abstraction layer we use to make base-10 play nice with angles.
I especially love it when they use the weight of an airplane as a comparison. “It’s as heavy as a Boeing 747”. Even if someone had an intuition about the weight of something that large, they would probably be wrong because aircraft are relatively light for their size, it helps when you need to fly. Everything in a plane is made to be as light as possible, so nothing on board of it would weigh as much as the non-aircraft equivalent you’d be familiar with.
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A base-12 metric system would be absolutely gorgeous. Geometry and trigonometry would be greatly simplified with a duodecimal unit circle. Our 360-degree circle is a truly ugly hack to make geometry play nice with a decimal number system.
Our base-10 number system would be as ugly to a duodecimal society as a base-7 system would be to us.
duodecimal is a decimal based name, I propose “dozecimal”
Seems confusing, why don’t we just call it base-10?
On the last point, a better comparison would be base 6 or base 14.
10 = 2 × 5
6 = 2 × 3
14 = 2 × 7
Or maybe a better way of thinking about it is the percentage of numbers that divide nicely in the base, as a percentage.
Base 10 has 2, 5, 10 = 30%
So maybe base 3 is the closest, at 33% of numbers being easily divisible.
Either way, 7 is a significantly worse base than 10.
Base-6 wouldn’t be bad at all. “100” in base 6 is 36 in base 10. Their metricated unit circle would have three times as many “degree” divisions as we have hours on a clock.
Base 7 or 14 would require something akin to the sexagesimal abstraction layer we use to make base-10 play nice with angles.
but why? you’ll still measure things in football fields, elephants or “large boulders” so it won’t affect you much
I especially love it when they use the weight of an airplane as a comparison. “It’s as heavy as a Boeing 747”. Even if someone had an intuition about the weight of something that large, they would probably be wrong because aircraft are relatively light for their size, it helps when you need to fly. Everything in a plane is made to be as light as possible, so nothing on board of it would weigh as much as the non-aircraft equivalent you’d be familiar with.
Excuse me but the correct SI units for length and area are double-decker buses and Waleses respectively ☺️