You were right, we should just write here due to G+ deletions. I can't read your entire message each time. Anyway, quadrivigesimal needs a 12*12 to fit packings of 6*4 or 2*12 into a square, and trigesimal needs a 30*30 square LOL 12 and 18 prevail big time if you want that 6*6 packing.
The multiplication table entry number increases quadratically lol, and the zero enders only linearly. For bases larger than binary, I considered b - 3 zero-enders due to avoiding the trivial ones. 30 had a sum of 27 (7+14+6) and dozenal had a sum of 9 (3+4+2), etc.
Making a base 30 ruler would need a division by five (or cutting up a pie or pizza or etc. into thirty pieces). Making a computer that would operate in base 30 would also need quinary digits instead of just binary and ternary for doz., Od., and Qvg. The same benefits of having that third prime factor do confer drawbacks... so what's wrong with base 24? How do we prove it's too high? Let's check a few basics.. 1/2 = 0.U 1/3 = 0.8 1/4 = 0.6 1/5 = 0.4G4G4G4G4G4G4.... (my symbols for this stuff) 1/6 = 0.4 1/7 = 0.3t6PHN3t6PHN3t6PHN3t6PHN.... Yuck. 1/8 = 0.3 1/9 = 0.2J 1/t = 0.29C9C9C9C9C9C9C9C9....
Maybe a big integer.... a billion in the long system (1000000000000) is 920yNyL2J in quadrivigesimal.
You don't have to divide by 4 and 6 for Quadrivigesimal, you can divide by 2, 3, 2, and 2 again so you don't have to have all those marks with the same length. Yes, you can translate between any bases, although it's faster for binary to hex due to a certain number of bits mapping to a hex digit. For trigesimal, you'd do ternary, binary, quinary for instance to get a power of thirty.
Post by Buffoonery on Jul 31, 2015 21:41:42 GMT -8
Lol, GGGGGGGGGGG6GGGG6GGGGGGGG spot the 2 6's. - Yeah, I didn't put much effort into the base 24 divisions. But you know, the funny thing is, I had a bunch of spaces in between the (¡) and (|), but they didn't translate onto this forum. Here's a test: ___a___a___a___(triple underscores) a a a (triple spaces) - I'm just wondering how you'd get a computer to not run on binary. I can't imagine how else the transistors would work. - Yup, I used (|) vertibar, and (i) letter i. I'm thinking if we use 1/4, 1/2, 1/3, 1/8, if they should all be different symbols. It could get pretty confusing if they were just 2 symbols. Example: |¡¡||¡|¡||¡¡| would get cluttered
|¡¡|¦¡|¡¦|¡¡| is still cluttered, hmmm. lol
|_¡_¡_|_;_¡_|_¡_;_|_¡_¡_| That's pretty good
Last Edit: Jul 31, 2015 22:29:06 GMT -8 by Buffoonery
Those two 6s were five characters apart (four Gs between them). G is my symbol for nineteen so it still turns up in vigesimal (base twenty). Qvg. also may confuse a 6 and a b xD, b being twenty-one. At least I don't have 1 and I and O and 0, or 5 and S. LOL Ok...
Having the square numbers is helpful since having both sides the same makes it easier for storing goods. Take for example: ooo ooo ooo A 3x3 grid can be stored simply by making it parallel to the wall. Where as: ooo ooo A 2x3 grid has to be planned ahead of time since 2x2x2x2 grows at a slower rate than 3x3x3x3. Even without bricking/staggering, it's easier to organize squares, it's a straightforward process.
Too bad no one uses triangular numbers for packing, we're stuck with containers and appliances and homes and what not with countless 90 degree angles, triangular arrangements have a higher packing density (such as piles of oranges). Anyway, it sounds like you've ruled out base 24 since 24 isn't a factor of 36 and thus groupings of 24 would have to be extended to a 12*12 square rather than 6*6 (bases 6, 12, and 18 do fit). I saw someone advocating base eight but he hasn't answered since I gave specific instances where dividing by threes isn't so lovely in it.
fcg710647: krisko - do you mean e as in Euler's number? Or E for el (dozenal eleven character)
Aug 21, 2018 8:50:40 GMT -8
krisko: #HI i seek the sequence (answer) for the following in dozenal: sq root of E
Jan 24, 2018 7:40:25 GMT -8
Buffoonery: @wendy If you want to write about Base 120, feel free to write all about it in the Centivigesimal folder I just created. I'll be interested to hear why you're interested in it!
Jul 26, 2017 23:33:54 GMT -8