Lets invent some fictional numbering systems.

For all your silly time-killing forum games.

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 1:23 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 1:55 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 2:04 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 2:08 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 2:13 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 2:23 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 2:34 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 2:46 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 3:07 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 3:23 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 3:28 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 3:33 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 3:35 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 5:00 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 5:02 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 5:21 pm UTC

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 5:31 pm UTC

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patzer
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 5:39 pm UTC

Huh. That's a rather neat black-and-white-ification.

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby Whizbang » Tue Apr 07, 2015 5:43 pm UTC

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 5:44 pm UTC

ImageImage

Next is base 3.

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby Whizbang » Tue Apr 07, 2015 5:53 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 5:55 pm UTC

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This is a new system, so that would be 0.

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 5:58 pm UTC

2

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Next poster posts 10many, and defines a new base.
If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 6:16 pm UTC

ImageImage

Next is base 8

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 6:35 pm UTC

0

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Tue Apr 07, 2015 6:40 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Tue Apr 07, 2015 11:31 pm UTC

2

🎼
If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 12:48 am UTC

3

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2 in image form:
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patzer
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Wed Apr 08, 2015 12:51 pm UTC

lots

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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 2:19 pm UTC

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby Flumble » Wed Apr 08, 2015 2:41 pm UTC

6.000000000000001

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 3:01 pm UTC

7

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Next player posts 108 and states the next base.

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patzer
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Wed Apr 08, 2015 3:16 pm UTC

ImageImage

Next: base 13½
If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 3:48 pm UTC

0

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patzer wrote:Next: base 13½

Wouldn't a non-integer base cause problems for the counting thread, since integers wouldn't necessarily have a terminating representation?

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Wed Apr 08, 2015 4:25 pm UTC

faubiguy wrote:
patzer wrote:Next: base 13½

Wouldn't a non-integer base cause problems for the counting thread, since integers wouldn't necessarily have a terminating representation?


Yes, you'd be correct if we used decimals... hence the need for fractions in this base. All we need is ½. (and, for bigger numbers, 1/2n for integer values of n)

Code: Select all

base 10 -  base 13½
 1 = 1
 2 = 2
 3 = 3
 8 = 8
 9 = 9
10 = A
11 = B
12 = C
13 = D
14 = 10½
15 = 11½
16 = 12½
23 = 19½
24 = 1A½
25 = 1B½
26 = 1C½
27 = 20
28 = 21
30 = 23
50 = 39½
100 = 75½
180 = D4½
181 = D5½
182 = D6½
183 = 100¾
184 = 101¾
185 = 102¾
200 = 114¼

etc.


Now my submission for a digit for this base is:

-!- (exclamation mark surrounded by hyphens): this equals ½. Used as a purely additive suffix, rather than the other digits which may be anywhere in a number. If n is the number of exclamation marks between the hyphens, the symbol represents 1/2n. Thus -!!- would be 1/4, -!!!- would be 1/8, -!!!!- would be 1/16, -!!--!!!- would be 3/8, etc.

Is this satisfactory? :P
If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 4:49 pm UTC

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patzer wrote:Is this satisfactory? :P

Indeed it is.

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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Wed Apr 08, 2015 5:04 pm UTC

2
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If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 5:09 pm UTC

3

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I wish imgur supported svg images.

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patzer
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby patzer » Wed Apr 08, 2015 5:17 pm UTC

four

Image

we wish we were able to make svg images. using repeated giant underscores to make a line in some in-browser online image editor on an ipad isn't exactly ideal :cry:
If it looks like a duck, and quacks like a duck, we have at least to consider the possibility that we have a small aquatic bird of the family Anatidae on our hands. –Douglas Adams

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faubiguy
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Re: metsys gnitnuoc s'mriuQ fo dranoeL

Postby faubiguy » Wed Apr 08, 2015 5:24 pm UTC

5

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