Monday, March 31, 2014

Math and Sciences Monday: Cheaper by the Dozen (Also it's better mathematically)



As many of my friends know, I have long been (at least a year) an advocate for changing our number system to base twelve, or dozenal, as it is known by it's fans, and it's technical name being the duodecimal system, which is how it is addressed by smart people with degrees. The supporters for this cause are far and few between, and I know this for two reasons:
  • Everyone I told about it either met me with a blank stare, or said it will never happen. 
  • When I typed the word "dozenal" just now, spell check insisted it wasn't a word. 
So I have decided to compile a list of advantages of this new system, in addition to a (short) list of disadvantages.
First, you might need to know what base twelve is! We use the the decimal system, though it's often referred to as base ten. That means we count like this:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The fact that it is base ten means that on the tenth number we add a zero, and so forth for every multiple of ten. We have ten digits in the system, (1-9 & 0) and to multiply by the base only requires adding a zero at the end. In base twelve, you count like this:
1, 2, 3, 4, 5, 6, 7, 8, 9, ᘔ*(dek), Ɛ*(el), 10(doh)
Dek is equal to ten, el is equal to eleven, and doh is equal to twelve. So in base twelve, instead of multiplying by ten to add a zero, you multiply by doh, which is the mathematical decimal equivalent of twelve. For further reading on base twelve, I suggest you read the wikipedia article on it, or if you prefer to read something that doesn't sound or look like you need several degrees in mathematics to understand, there are plenty of articles and books that cover the basics and/or advanced ideas behind dozenal. If you're looking for the basics, watch Schoolhouse Rock's "Hey there little twelve-toes" or read the section on base twelve in Here's Looking at Euclid, by Alex Bellos[1]. If you prefer something a bit more complicated, or took my advice and did these things and want to continue, I suggest you read through Dozenal Society of America's (DSA) paper on basic mathematics using base twelve.
Now for the reasons to switch! But first off, because I believe in a fair fight, I will list every single reason that I could find to not switch to base twelve:
  1. We have ten fingers (some argue this is ten reasons)
  2. It will be too hard to transition
Tell me if I missed any, (I didn't) but these two reasons are really small hurdles to jump for the greater good of mathematics. I have now compiled a list of great reasons to switch to base twelve:
  1. It works better mathematically, especially pertaining to divisors. Our current system, base 10, the base has two whole number divisors other than one and itself: 2 & 5. And what are the four easiest numbers to count by? Ones and tens, obviously. And then fives and twos, due to the fact they are divisors and ten, and more familiar and cohesive. Meanwhile, 12 has four divisors other than one and itself. So theoretically, if we switched to base twelve, anyone who learned basic mathematics could count by ones, twos, threes, fours, sixes, and twelves, as easily as people can count by fives using base ten.
  2. It will make (a little) sense of why we don't use the metric system. I thought about making a table showing why, but it would probably just be better to make an entirely new measurement system when/if we switch bases.
  3. Our current rite of passages pertaining to ages will be better divisible, and subsequently be easier to remember/make more sense. If you think about it, there are a few ages to consider that will be changing to better numbers. Thirteen, the age where you become a young adult, would be printed as 11, and is one higher than doh. This makes sense, considering the transition to young adult is now takes place at the same time as the transition to "the numbers beyond 10" (in this case "10" being "doh"), which is generally the number a young child would first learn to count to, their first milestone. Eighteen, the age in which someone becomes an adult, would now be printed as 16, and would be equal to a doh and a half. 
  4. It pertains to our divisions of time. The number twelve being our base would improve our calender because of it's divisibility. I am now going to list our units of time, with it's base twelve equivalent in parentheses after each unit. There are 12(10) months in a year, with 30/31(26/27) days in each month most of the time. There are 7(7) days in a week. 24(20) hours in a day (which makes 12(10). 60(50) minutes in an hour. 60(50) seconds in a minute. Note how all things either become a cleaner rounder number (days in a month, hours in a day, minutes in an hour, seconds in a minute), or don't really change that much (days in a month, days in a week).
I hope to come up with more reasons later, (hopefully expand to a list of twelve) but that's all for now.

Monday, March 17, 2014

Masterpiece Monday: Heroscape Codex




So I've kind of been forgetting about my blog for the past couple weeks. (Okay, a month, but let's not dwell in the past.) I recently got involved in a project: an online magazine that is centered around the game Heroscape. (for those of you that don't know what Heroscape is, I suggest you go find out right now. Unless, of course, you hate games.) If you like to ignore orders given in parentheses, then I will give you a brief description of the game: It is the only board game I have ever played where a ninja can work together with a samurai to take down a mech, only to be caught by a massive army of gladiators led by Spartacus, and have to call in a back up of American revolutionaries and WWII paratroopers. And the board is a customizable 3D map. Now that you know about the game, you can understand why a large amount of it's fans were very unhappy about it's discontinuation. However, 4 years later, the game is still going strong due to a large and cohesive community of players.
Anyway, in this magazine I volunteered for, for am the Art Director and Co-Head and Editor of the Fan Art and Fiction section. If you like the Heroscape game, I suggest you download the latest issue of this magazine, (The Heroscape Codex) here:
Heroscapers.com - HS codex issue 2
In case you're curious, anywhere it says the name "Evar-Scarcarver" it's referring to me.

In other news, I recently got a Deviant Art account, so if you want, you can follow me on that site. My username is Evar-Scarcarver. (Noticing a trend with screen names anyone? Also, anyone notice how I might use parentheses a little too often?)