Help on base-7 system i am working on

[newkdunham]

I invented a number system in 2008 and I've never shared it with the public I thought I might as well...I had my reasons at the time for inventing it, and i think it may be useful...although i invented it, it's features are really natural features of our universe itself, and are therefore much less arbitrary than any number system i've encountered before,,,,,The number system is used as follows,,,,,a equilateral triangle is disected into combinatory permutations of it's sides,,,,there being 3 sides of a triangle there are 7 and only 7 representable permutations, no more, no less, consisting of 3 instances of one side represented, 3 instances of 2 sides represented, and the one instance of the full triangle being represented

 

the reason this number system may be useful is that because of the nature of science and scientific endeavor every effort we make toward finding the truth in turn affects the truth we are trying to find, and our work changes the environment we live in (based on the Heisenburg Principle), we have no choice but to live in it, we have no choice but to operate on the same plane as our experiments and logics. This has been apparent in the usefulness of "Planck's measurements" in physics, where simply by using different scales of measurements that are more related to the subjects of physical interactions the physicist is investigating,,the physicist can !sometimes (caveat) come up with better measurements and predictions,,,,realistically if you look through 2 different microscopes at the same subject you would expect to find the same thing,,,of course if you killed the subject with the first microscope you might end up seeing something different with the second microscope regardless,,,,so my number system could be used to further verify currently proved mathematical theory,,,by actually using it to do all the same mathematics done with current systems,,,,you would actually be strengthening any previous arguement if you found the same answer with another base of number system,,,(my number system is base-7),,this is because you have further tested that your choice of number system was not a factor in coming up with your original answer,,,,so technically you would want to test every major mathematical arguement with my number system and others (perhaps other bases) to make sure the same answer is always found in those other number systems (of course there are WRONG answers to be found if the the number system does NOT define the same points on Y=X),,,

 

Getting back to my number system it is visually represented by drawings of the equilateral triangle,,,,the convention used would be a point directly pointing upward to keep constant the triangle's orientation, and a convention on reading in the direction of the native language of the user of the number system,,,thus from what i said before / = 1.00, \ = 2.00, _ = 3.00, /_ = 4.00, _\ = 5.00, ^ = 6.00, and /_\ = 7.00 in the set of real numbers,,,depending on the writing convention on the user present you would simply add triangles and parts of triangles of any quantity to thus represent any number from 0 to infinity, and from 0 to negative infinity, the negative sign ( - ) could easily be used to expand my system as well as decimal places to represent fractions, and the addition of a zero is easy, i decided on a personal convention of an upside-down equilateral triangle to represent zero

 

further this number system can be adapted into a "base-8" system by adding the zero usage to all real numbers at the "8" place adding a zero after every 8 regular integers

 

also the writing convention can be compacted further by grouping triangles into regular shapes at regular intervals, for example there is a shape used in the video game "Zelda" called the triforce that in my number system would represent 21.00, it being 3 triangles,,,,thus my number system can potentially be adapted to hold and convey more information than the standard 10-base used today, especially if multiple regular shape conventions were invented,,,(why it relates to the symbol in a video game is just by chance)

 

As I said at the beginning my number system relates inherently to the universe itself,,,as a equilateral triangle always disects into seven permutations, no more, no less,,,thus my number system is not arbitrary, it is in fact universal,,,,I am publishing my work here, so that any one can use it, and I am going to keep studying this and also large numbers (see http://answers.yahoo...23022617AAELnv4)

 

I very much need and want input on this subject,,,,pls email me at kdunham1@rocketmail.com,,,,and i also welcome any related material any one already has that might help me , send me your links! ))))

 

ty and God bless

-K

[Ben Banana]

[uncool]

newk, I'm afraid that devising a new numeral system is extremely unlikely to actually lead to any new insights. For one thing, you've simply rediscovered the base 8 system. For another, you'd simply be re-expressing current facts known about the base 10 system in terms of the base 8 system.

=Uncool-

[Bignose]

for example there is a shape used in the video game "Zelda" called the triforce that in my number system would represent 21.00, it being 3 triangles

 

In many regards, I would consider 3 triangles to be be a worse representation for the base 10 numeral of 21 than '21'. '21' only needs two characters to represent it, whereas your system needs 3 symbols. It would get out of hand pretty quickly for a number like even 210....... think about how bad 2100 would be....

 

As has been alluded to in this thread, there really is nothing too sacrosanct about what base is used. We've seemed to settle on base 10 for most of our written math these days, but again that doesn't mean much of anything other than a convention, really. There have been base 20 and base 60 systems used in the history of mankind. Most good programmers know a fair amount about base 16, base 8, and of course base 2.

 

Pretty much any theorem developed in base 10 is applicable in most any other base, and vice versa.

 

Why triangles? Why not squares? Why not nonagons? Why not a tetrahedron (triangular pyramid)?

[doG]

I invented a number system in 2008....

No you didn't. See http://en.wikipedia.org/wiki/Octal

[khaled]

No you didn't. See http://en.wikipedia.org/wiki/Octal

 

Octal is base 8, newkdunham system is base 7

[Bignose]

Octal is base 8, newkdunham system is base 7

 

khaled, you have to read the post. this 'new' system has 7 unique symbols, same as octal. In fact, the OP, despite the title, in his text about 2/3 through even calls it a base-8 system.

[DrRocket]

I invented a number system in 2008 and I've never shared it with the public I thought I might as well...I had my reasons at the time for inventing it, and i think it may be useful...although i invented it, it's features are really natural features of our universe itself, and are therefore much less arbitrary than any number system i've encountered before,,,,,The number system is used as follows,,,,,a equilateral triangle is disected into combinatory permutations of it's sides,,,,there being 3 sides of a triangle there are 7 and only 7 representable permutations, no more, no less, consisting of 3 instances of one side represented, 3 instances of 2 sides represented, and the one instance of the full triangle being represented.

 

You did not invent a "new number system". "Number systems" refer to things like the integers, rational numbers, complex numbers, etc.

 

What you are talking about is a representation of a number system -- and even there the various representations in terms of bases are quite well known.

 

There are all sorts of representations of number systems, and lots of different symbols have been used. Roman numerals are one representation. But the decimal representation used today, which was invented by the Arabs has distinct advantages for computation, as does the modification to binary representations that is used by computers at the most fundamental level and the hexadecimal system (base 16) used at higher computational levels.

 

However, the choice of representation or base, has absolutely nothing to do with the underlying mathematics, and most mathematical systems are blind to any particular representation. There are a few exceptions involving rather obscure theorems in number theory which deal with the representations themselves.

 

In short, unless you have some computational scheme in mind there is no clear value to any new representation.

[uncool]

khaled, you have to read the post. this 'new' system has 7 unique symbols, same as octal. In fact, the OP, despite the title, in his text about 2/3 through even calls it a base-8 system.

Err. Octal uses 8 distinct symbols. 0, 1, 2, 3, 4, 5, 6, 7. In general, base-b systems use b distinct symbols.

=Uncool-

Edited January 2, 2012 by uncool

[doG]

further this number system can be adapted into a "base-8" system by adding the zero usage to all real numbers at the "8" place adding a zero after every 8 regular integersalso the writing convention can be compacted further by grouping triangles into regular shapes at regular intervals....

 

Err. Octal uses 8 distinct symbols. 0, 1, 2, 3, 4, 5, 6, 7. In general, base-b systems use b distinct symbols.=Uncool-

It looks like the OP was describing a system with 7 symbols not including zero....

[khaled]

It looks like the OP was describing a system with 7 symbols not including zero....

 

that's not a base-7 number system, it's a system to represent Natural numbers using triangles

[the tree]

that's not a base-7 number system, it's a system to represent Natural numbers using triangles

"that's not a car, it's a sedan", it's still a car.