Count up in a somewhat complex way

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FourTael
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Count up in a somewhat complex way

Postby FourTael » Wed Jan 05, 2011 8:10 pm UTC

So we have hex. We have binary. We have base 110. How could I make it more complex?

By changing the bases dependant on the digit.

The base will be (distance from decimal place + 1). So the ones place will count up in base 2, the tens place will be base 3, the hundreds will be base 4, etc.

Here's an example of the first ten posts:

1
10
11
20
21
100
101
110
111
120

etc.

I shall start:

1

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LucasBrown
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Re: Count up in a somewhat complex way

Postby LucasBrown » Wed Jan 05, 2011 9:05 pm UTC

And I shall skip to 11, since you have so kindly put the first bundle up. To aid in this, let's put the number in base 10 in parentheses after the multibase number:
121 (11)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Wed Jan 05, 2011 9:08 pm UTC

Very well.

200 (12)

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LucasBrown
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Re: Count up in a somewhat complex way

Postby LucasBrown » Wed Jan 05, 2011 10:30 pm UTC

201 (13)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Wed Jan 05, 2011 10:37 pm UTC

210 (14)

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LucasBrown
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Re: Count up in a somewhat complex way

Postby LucasBrown » Thu Jan 06, 2011 1:03 am UTC

211 (15)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 06, 2011 2:26 am UTC

220 (16)

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LucasBrown
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Re: Count up in a somewhat complex way

Postby LucasBrown » Thu Jan 06, 2011 3:41 am UTC

221 (17)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 06, 2011 4:10 am UTC

300 (18)

APolaris
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Re: Count up in a somewhat complex way

Postby APolaris » Thu Jan 06, 2011 5:08 pm UTC

Wasn't the hundreds place supposed to be base 4?

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 06, 2011 6:09 pm UTC

Yes, which means it will increase to 1000 after 321. Also, please count along when you reply. Yours was 301 (19).

Mine is 310 (20)

coolguy5678
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Re: Count up in a somewhat complex way

Postby coolguy5678 » Thu Jan 06, 2011 6:52 pm UTC

311 (21)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 06, 2011 6:56 pm UTC

320 (22)

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LucasBrown
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Re: Count up in a somewhat complex way

Postby LucasBrown » Thu Jan 06, 2011 8:49 pm UTC

321 (23)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 06, 2011 9:16 pm UTC

1000 (24, aka 4!)

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LucasBrown
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Re: Count up in a somewhat complex way

Postby LucasBrown » Fri Jan 07, 2011 1:00 am UTC

1001! (2510)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Fri Jan 07, 2011 1:13 am UTC

1010 (26)

pizzazz
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Re: Count up in a somewhat complex way

Postby pizzazz » Wed Jan 12, 2011 6:13 am UTC

1011 (27)

As an aside, do we know if it is possible to produce all integers this way?

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Wed Jan 12, 2011 6:51 am UTC

1020 (28)

Absolutely. I actually designed a similar counting system as a kind of code. It can work off any set of numbers agreed upon beforehand. IE pi * sqrt(14) to the eighth decimal place (or to as many places as the two calculators will show). If there's a 1, as in the example (11.754763358538997856165619429959), then the base would be greater than 10. In the example, it would be 11 (because 1 * 10 + next digit, which is 1).

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Mon Jan 17, 2011 9:01 pm UTC

Uhm, somebody is wrong here - either one of me or all of you :P, yeah, sure makes it seem like it's me, but... From what I understand we're supposed to do, and I'm at least pretty sure that I do, you've all been wrong since the very first post?

Here's the way that I see it:

12 - (110)
102 - (210)
112 - (310)
1002 - (410)
1012 - (510)
1102 - (610)
1112 - (710)
10002 - (810)
10012 - (910)
1013 - (1010)
1023 - (1110)
1103 - (1210)
1113 - (1310)
1123 - (1410)
1203 - (1510)
1213 - (1610)
1223 - (1710)
2003 - (1810)
2013 - (1910)
2023 - (2010)
2103 - (2110)
2113 - (2210)
2123 - (2310)
2203 - (2410)
2213 - (2510)
2223 - (2610)
10003 - (2710)
10013 - (2810)

10023 - (2910)

Shouldn't it be like this? :?:

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Mon Jan 17, 2011 10:13 pm UTC

No. Not at all. Your number was 1021 (29). There is no single base for the entire number. It changes by the digit. It's this: 15042312.

My number is 1100 (30).

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Mon Jan 17, 2011 10:59 pm UTC

Oh. Okay, I might be thinking this is more complicated than it is...

So... Mine is...

1101 (31)

?

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cjdrum
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Re: Count up in a somewhat complex way

Postby cjdrum » Mon Jan 17, 2011 11:12 pm UTC

11023 (32)

Wouldn't it make more sense to base the number system of the base 10 number?
:shock:

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Mon Jan 17, 2011 11:47 pm UTC

Either I'm comfused yet again, or yours was supposed to be 1110 (32).

Which would make mine 1111 (33).

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Tue Jan 18, 2011 1:40 am UTC

You got it right, Sean.

CJDrum: It's not a single base for all digits. It's a different base for each digit.

1120 (34)

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Tue Jan 18, 2011 1:48 am UTC

1121 (35)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Tue Jan 18, 2011 1:51 am UTC

1200 (36)

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Tue Jan 18, 2011 1:55 am UTC

1201 (37)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Tue Jan 18, 2011 4:53 am UTC

1210 (38)

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Tue Jan 18, 2011 9:19 pm UTC

1211 (39)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Tue Jan 18, 2011 10:32 pm UTC

1220

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Tue Jan 18, 2011 11:34 pm UTC

1221 (41)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Wed Jan 19, 2011 2:08 am UTC

1300 (42)

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Wed Jan 19, 2011 2:54 pm UTC

1301 (43)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Wed Jan 19, 2011 10:59 pm UTC

1310

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Thu Jan 20, 2011 3:08 am UTC

1311 (45)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 20, 2011 4:01 am UTC

1320 (46)

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Thu Jan 20, 2011 5:02 am UTC

1321 (47)

FourTael
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Re: Count up in a somewhat complex way

Postby FourTael » Thu Jan 20, 2011 7:59 am UTC

2000 (48)

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Sean Quixote
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Re: Count up in a somewhat complex way

Postby Sean Quixote » Thu Jan 20, 2011 1:41 pm UTC

2001 (49)


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