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• RSC pertains to squarefree root of base n
Thanks Sally.  What confused me is that Icarus does use the term "set" and "tensor" in the same sentence: Example: the tensor C pertaining to uncial is {1, 5, 7, b, 11, 15, 17, 1b, 21, 25, 27, 2b, ...}. It is easy to see a pattern. C contains all numbers k such that k (mod n) ≡ t in T, where T is th...
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Last post by icarus
Aug 15 2018, 02:39 PM
• Test Post
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Last post by icarus
Aug 15 2018, 02:39 PM
• RSC pertains to squarefree root of base n
What does "tensor" mean in this context?
3 Replies
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Last post by icarus
Aug 15 2018, 02:39 PM
• Test Post
Working on a post about visualizing numbers.....just testing to see how well the ascii art comes across.....         ...............................                ...............................                ...............................        :\                             :\              :\ ...
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Last post by icarus
Aug 15 2018, 02:39 PM
• Re: An Earlier and Professional Choice For UNCIAL vs DOZENAL
Liberty, fraternity, equality, and unquality!!!! Actually, its kind of bittersweet how close that actually did come to being the rallying cry of the French Revolution.  Too long for a catchy slogan, I guess.
by SenaryThe12th Posted in Dozenal
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Last post by SenaryThe12th
May 20 2018, 02:44 PM
• Re: An Earlier and Professional Choice For UNCIAL vs DOZENAL
And we can express the sentiment that 12 is the best base by saying "All men are created unqual."  Since it comes easier to some of us, we can say "All animals are created unqual, but some are more unqual than others."
by SenaryThe12th Posted in Dozenal
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Last post by SenaryThe12th
May 20 2018, 02:44 PM
• Website on Symmetric Senary
This is pretty much the only thing I've found (other than this forum, of course) which has anything about symmetric senary. Symmetric Senary Website
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Last post by Paul Rapoport
May 10 2018, 02:18 PM
• Re: Video on dozenal and seximal
I tend to think any mental vocalization is itself going to be boat anchor slowing down the efficiency of mental arithmetic, be it "native" decimal nomenclature or some "adopted" alternate-base nomenclature.  Isn't one of the tenets of speed math to eschew any such linguistic crutches and just train...
by SenaryThe12th Posted in General
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
• Re: Video on dozenal and seximal
Do whatever works best for you, especially if approaching things visually is helpful. For me though, I find it easier to start by fully converting one number into a list of instructions, and then apply those instructions to the other number, so that I'm only ever working with one number at a time. ...
by SenaryThe12th Posted in General
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
• Re: Video on dozenal and seximal
I'm going to be thinking about this for a long time.  As I said previously, I use your visualization methods for senary not just for visualizing the numbers, but to visualize the computations.  The way I was doing multiplication required keeping track of 4 piles when multiplying 2 3-digit number (o...
by SenaryThe12th Posted in General
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
• Re: Shwa "reverse" Notation
I also added a negative zero, which nicely solved my remaining problems, for instance with percentages.  The same rule applies there: +0 with positive numbers (and zero), -0 with negative. Can you elaborate a bit about how the negative zero helped you?
by SenaryThe12th Posted in Numerals
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Last post by SenaryThe12th
Apr 26 2018, 01:08 PM
• Re: Video on dozenal and seximal
When was the last time you had to multiply two zip codes together? ArbiterOfTruth, I'm so glad you weighed in here.  I've been a big fan of yours for a long time.  You have a remarkable combination of clear-headed thnking, so you know which direction to go, and enormous intellectual strength, so y...
by SenaryThe12th Posted in General
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
Actually, dividing by 5 in dozenal is also pretty easy, precisely because the period length is the maximum it could be. You just need to remember 1/5 = 0.2497..., and then all the other fifths are just a frameshift: 2/5 = 0.4972..., 3/5 = 0.7249..., 4/5 = 0.9724.... Again, there is no need to do an...
44 Replies
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Apr 24 2018, 04:32 PM
Just a thought on the senary vs. dozenal debate: a reverse (balanced) dozenal system (such as Shwa, discussed elsewhere) has some characteristics of both.   We should see if we can persuade Icarus to expand his tour-des-bases to the ballenced bases as well :-)
44 Replies
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Apr 24 2018, 04:32 PM
• Re: Video on dozenal and seximal
The crux of the matter is the size of the base-36 multiplication table. Alas, I must agree.  Using base-36 compression might solve the problem of memorizing large numbers.  But it really doesn't touch the problem of having to keep more senary digits in your head at one time during calculations. As ...
by SenaryThe12th Posted in General
31 Replies
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
They're "unusable" in the sense that you can't use them directly. Well, its true that you can't use them *directly*, but: So it doesn't matter that "0.111..." is a nicer recurrence than "0.24972497...";  actually, that makes all the difference.   Just *because* 1/5 =  0.1 repeating, dividing by 5 i...
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Apr 24 2018, 04:32 PM
• Re: Video on dozenal and seximal
Sunny, I endorse, appreciate, applaud, and otherwise encourage any and all attempts to make senary more useful.   But remember, some people are colorblind.  Also, you'll want to be able to chisel a number into a block of marble or granite, and have it still readable 10,000 years from now, after all ...
by SenaryThe12th Posted in General
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
• Re: Video on dozenal and seximal
How did I miss this thread???  I obviously don't know how to use taptalk yet.  BTW Kodo, when I saw this guy's video and the section on which symbols to use started up, I was basically rolling around on the floor laughing.  I can totally see how my post would bring up memories of this video.  W.R.T....
by SenaryThe12th Posted in General
31 Replies
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Last post by SenaryThe12th
May 6 2018, 01:25 PM
jan Misali makes the point that each of our hands can naturally represent a single senary digit, and using them together we can actually count to 55 6 = 35 d = 2Ɛ z . This is essentially the same point I demonstrated in the Xohox Numbers thread, with this image of how my fictional "Xanadunni" suppo...
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Apr 24 2018, 04:32 PM
Senary then sits at an awkward compromise which fits neither situation very well: the switch from dozenal to senary has allocated valuable resources that could have been spent on greater concision and better powers of two onto the much less important 5.  I agree with this:  if powers of 2 are impo...
44 Replies
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Apr 24 2018, 04:32 PM
Is there an emoticon that means "plain-speaking"? https://cdn.jsdelivr.net/emojione/assets/svg/1f609.svg THAT is what the world needs now!!!
44 Replies
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