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tech / sci.math / Using Chris's algorithm, try pi in a base 8 rendering.

SubjectAuthor
* Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
+- Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
`* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
 `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
  `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
   `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
    +* Re: Using Chris's algorithm, try pi in a base 8 rendering.mitchr...@gmail.com
    |`* Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
    | `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
    |  `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
    |   `- Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
    +- Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
    +- Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
    `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
     `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce
      `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
       `* Re: Using Chris's algorithm, try pi in a base 8 rendering.Chris M. Thomasson
        `- Re: Using Chris's algorithm, try pi in a base 8 rendering.Dan joyce

1
Using Chris's algorithm, try pi in a base 8 rendering.

<66a447ca-13f0-4a61-ad52-9e1cdc6548f1n@googlegroups.com>

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Subject: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Sun, 3 Sep 2023 19:08 UTC

Going counter clockwise on an 8 sided polygon.
Starting @ the bottom --
REUHLGDF
123-45670 Digits in base 8 but where the zero =8
3.1103755242102.. too 101 digits.
Here is the order of directions following each digit of pi in base 8.
fractallife247.com
URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Sun, 3 Sep 2023 19:11 UTC

On Sunday, September 3, 2023 at 3:08:08 PM UTC-4, Dan joyce wrote:
> Going counter clockwise on an 8 sided polygon.
> Starting @ the bottom --
> REUHLGDF
> 123-45670 Digits in base 8 but where the zero =8
> 3.1103755242102.. too 101 digits.
> Here is the order of directions following each digit of pi in base 8.
> fractallife247.com
> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
BTW set size @ 0.15

Re: Using Chris's algorithm, try pi in a base 8 rendering.

<ud3252$13irg$4@dont-email.me>

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https://www.novabbs.com/tech/article-flat.php?id=147046&group=sci.math#147046

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Sun, 3 Sep 2023 15:42:43 -0700
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 by: Chris M. Thomasson - Sun, 3 Sep 2023 22:42 UTC

On 9/3/2023 12:08 PM, Dan joyce wrote:
> Going counter clockwise on an 8 sided polygon.
> Starting @ the bottom --
> REUHLGDF
> 123-45670 Digits in base 8 but where the zero =8
> 3.1103755242102.. too 101 digits.
> Here is the order of directions following each digit of pi in base 8.
> fractallife247.com
> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL

https://i.ibb.co/j54Y3p5/image.png

Humm. Let me try something for fun. Increasing the size by .1 increments...

https://i.ibb.co/1m5kzB4/image.png

Looks like some sort of odd music scales...

Re: Using Chris's algorithm, try pi in a base 8 rendering.

<ud327o$13irg$5@dont-email.me>

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Sun, 3 Sep 2023 15:44:09 -0700
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 by: Chris M. Thomasson - Sun, 3 Sep 2023 22:44 UTC

On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
> On 9/3/2023 12:08 PM, Dan joyce wrote:
>>   Going counter clockwise on an 8 sided polygon.
>>    Starting @ the bottom --
>>    REUHLGDF
>>    123-45670 Digits in base 8 but where the zero =8
>>     3.1103755242102.. too 101 digits.
>>    Here is the order of directions following each digit of pi in base 8.
>>    fractallife247.com
>>
>> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
>
> https://i.ibb.co/j54Y3p5/image.png
>
> Humm. Let me try something for fun. Increasing the size by .1 increments...
>
> https://i.ibb.co/1m5kzB4/image.png
>
> Looks like some sort of odd music scales...
>
>

The strange string instrument?... ;^D

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Sun, 3 Sep 2023 23:05 UTC

On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
> On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
> > On 9/3/2023 12:08 PM, Dan joyce wrote:
> >> Going counter clockwise on an 8 sided polygon.
> >> Starting @ the bottom --
> >> REUHLGDF
> >> 123-45670 Digits in base 8 but where the zero =8
> >> 3.1103755242102.. too 101 digits.
> >> Here is the order of directions following each digit of pi in base 8.
> >> fractallife247.com
> >>
> >> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
> >
> > https://i.ibb.co/j54Y3p5/image.png
> >
> > Humm. Let me try something for fun. Increasing the size by .1 increments...
> >
> > https://i.ibb.co/1m5kzB4/image.png
> >
> > Looks like some sort of odd music scales...
> >
> >
> The strange string instrument?... ;^D
There are 8 different directions so a lot of different combinations are possible.
The one I went with ---
REUHLGDF
| | | | | | | |
1234 5 670 where the 0 = 8 in my algorithm.
In the 8 sided polygon notice the R is opposite the L and the E opposite the G
and the U opposite the D and the H opposite the F
So many different renderings are possible.
Where can you find more then 101 digits of pi in base 8?

Re: Using Chris's algorithm, try pi in a base 8 rendering.

<0dd851fe-1798-43e6-947c-64544293b971n@googlegroups.com>

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Tue, 5 Sep 2023 17:40 UTC

On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
> > On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
> > > On 9/3/2023 12:08 PM, Dan joyce wrote:
> > >> Going counter clockwise on an 8 sided polygon.
> > >> Starting @ the bottom --
> > >> REUHLGDF
> > >> 123-45670 Digits in base 8 but where the zero =8
> > >> 3.1103755242102.. too 101 digits.
> > >> Here is the order of directions following each digit of pi in base 8..
> > >> fractallife247.com
> > >>
> > >> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
> > >
> > > https://i.ibb.co/j54Y3p5/image.png
> > >
> > > Humm. Let me try something for fun. Increasing the size by .1 increments...
> > >
> > > https://i.ibb.co/1m5kzB4/image.png
> > >
> > > Looks like some sort of odd music scales...
> > >
> > >
> > The strange string instrument?... ;^D
> There are 8 different directions so a lot of different combinations are possible.
> The one I went with ---
> REUHLGDF
> | | | | | | | |
> 1234 5 670 where the 0 = 8 in my algorithm.
> In the 8 sided polygon notice the R is opposite the L and the E opposite the G
> and the U opposite the D and the H opposite the F
> So many different renderings are possible.
> Where can you find more then 101 digits of pi in base 8?
There are 10,000 digits available.
This represents the first 621 digits.
It appears to retrace from left to right and then back again from right to left.
I will eventually add more to this list
Set size @ 0.15
URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGR
LFFEUULDUDREHURLHDHGHDEEFGRLHGFREGFLRLLDHHLDHEHRLGHDDHRRLEGGLLLEHUHRRFLDRRFEGGLULHGRRUGUDLHUUGHEUFHR
ULRLRHUUDLLUEGFLDDDEDRUUUGHFRLUUDLLDUHUHRLUDGGLLERRHDDEEGLGHDGEEFERUDFHLHUDDRHHHHLFURHLFDLHDRFLLHDLG
FHFFRDHLGREFLHULDGFEGUFGGHHHFGGFDFLEDEUHGHGHHEGRDDEHUDLRRRHDLUDHFGGELULRFDLGEHULUURUFUHUFLDRLEGRFRFE
LEELGDRDUELREEFULGFHLLRURLLURGFGFGLEUHHLEDHHGFFEUGRULFGGFRFGEHRHFHRUDFUREEFEDHHUFLGRLLHDFDUDFDRDRGDR
UFRHFRGHRHFRGUURRDFRGHEDUFFUGHEHUDUEDFLEDUDFRLDEUFLRURRGDHELDRUDLLRELUFFLGRHFDRHLEHHLDHDELRELLEDRERE
DEERRHRHEUFDGHFEHEFFL

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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<ud3252$13irg$4@dont-email.me> <ud327o$13irg$5@dont-email.me>
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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: mitchrae...@gmail.com (mitchr...@gmail.com)
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 by: mitchr...@gmail.com - Tue, 5 Sep 2023 18:28 UTC

On Tuesday, September 5, 2023 at 10:41:03 AM UTC-7, Dan joyce wrote:
> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
> > On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
> > > On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
> > > > On 9/3/2023 12:08 PM, Dan joyce wrote:
> > > >> Going counter clockwise on an 8 sided polygon.
> > > >> Starting @ the bottom --
> > > >> REUHLGDF
> > > >> 123-45670 Digits in base 8 but where the zero =8
> > > >> 3.1103755242102.. too 101 digits.
> > > >> Here is the order of directions following each digit of pi in base 8.
> > > >> fractallife247.com
> > > >>
> > > >> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
> > > >
> > > > https://i.ibb.co/j54Y3p5/image.png
> > > >
> > > > Humm. Let me try something for fun. Increasing the size by .1 increments...
> > > >
> > > > https://i.ibb.co/1m5kzB4/image.png
> > > >
> > > > Looks like some sort of odd music scales...
> > > >
> > > >
> > > The strange string instrument?... ;^D
> > There are 8 different directions so a lot of different combinations are possible.

There are only six universal directions in 3D... the cube is the flat universe...

> > The one I went with ---
> > REUHLGDF
> > | | | | | | | |
> > 1234 5 670 where the 0 = 8 in my algorithm.
> > In the 8 sided polygon notice the R is opposite the L and the E opposite the G
> > and the U opposite the D and the H opposite the F
> > So many different renderings are possible.
> > Where can you find more then 101 digits of pi in base 8?
> There are 10,000 digits available.
> This represents the first 621 digits.
> It appears to retrace from left to right and then back again from right to left.
> I will eventually add more to this list
> Set size @ 0.15
> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGR
> LFFEUULDUDREHURLHDHGHDEEFGRLHGFREGFLRLLDHHLDHEHRLGHDDHRRLEGGLLLEHUHRRFLDRRFEGGLULHGRRUGUDLHUUGHEUFHR
> ULRLRHUUDLLUEGFLDDDEDRUUUGHFRLUUDLLDUHUHRLUDGGLLERRHDDEEGLGHDGEEFERUDFHLHUDDRHHHHLFURHLFDLHDRFLLHDLG
> FHFFRDHLGREFLHULDGFEGUFGGHHHFGGFDFLEDEUHGHGHHEGRDDEHUDLRRRHDLUDHFGGELULRFDLGEHULUURUFUHUFLDRLEGRFRFE
> LEELGDRDUELREEFULGFHLLRURLLURGFGFGLEUHHLEDHHGFFEUGRULFGGFRFGEHRHFHRUDFUREEFEDHHUFLGRLLHDFDUDFDRDRGDR
> UFRHFRGHRHFRGUURRDFRGHEDUFFUGHEHUDUEDFLEDUDFRLDEUFLRURRGDHELDRUDLLRELUFFLGRHFDRHLEHHLDHDELRELLEDRERE
> DEERRHRHEUFDGHFEHEFFL

A base is a different representation. It requires a zero in between containment.
It does not change Pi.

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Tue, 5 Sep 2023 18:44 UTC

On Tuesday, September 5, 2023 at 2:28:14 PM UTC-4, mitchr...@gmail.com wrote:
> On Tuesday, September 5, 2023 at 10:41:03 AM UTC-7, Dan joyce wrote:
> > On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
> > > On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
> > > > On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
> > > > > On 9/3/2023 12:08 PM, Dan joyce wrote:
> > > > >> Going counter clockwise on an 8 sided polygon.
> > > > >> Starting @ the bottom --
> > > > >> REUHLGDF
> > > > >> 123-45670 Digits in base 8 but where the zero =8
> > > > >> 3.1103755242102.. too 101 digits.
> > > > >> Here is the order of directions following each digit of pi in base 8.
> > > > >> fractallife247.com
> > > > >>
> > > > >> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
> > > > >
> > > > > https://i.ibb.co/j54Y3p5/image.png
> > > > >
> > > > > Humm. Let me try something for fun. Increasing the size by .1 increments...
> > > > >
> > > > > https://i.ibb.co/1m5kzB4/image.png
> > > > >
> > > > > Looks like some sort of odd music scales...
> > > > >
> > > > >
> > > > The strange string instrument?... ;^D
> > > There are 8 different directions so a lot of different combinations are possible.
> There are only six universal directions in 3D... the cube is the flat universe...
> > > The one I went with ---
> > > REUHLGDF
> > > | | | | | | | |
> > > 1234 5 670 where the 0 = 8 in my algorithm.
> > > In the 8 sided polygon notice the R is opposite the L and the E opposite the G
> > > and the U opposite the D and the H opposite the F
> > > So many different renderings are possible.
> > > Where can you find more then 101 digits of pi in base 8?
> > There are 10,000 digits available.
> > This represents the first 621 digits.
> > It appears to retrace from left to right and then back again from right to left.
> > I will eventually add more to this list
> > Set size @ 0.15
> > URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGR
> > LFFEUULDUDREHURLHDHGHDEEFGRLHGFREGFLRLLDHHLDHEHRLGHDDHRRLEGGLLLEHUHRRFLDRRFEGGLULHGRRUGUDLHUUGHEUFHR
> > ULRLRHUUDLLUEGFLDDDEDRUUUGHFRLUUDLLDUHUHRLUDGGLLERRHDDEEGLGHDGEEFERUDFHLHUDDRHHHHLFURHLFDLHDRFLLHDLG
> > FHFFRDHLGREFLHULDGFEGUFGGHHHFGGFDFLEDEUHGHGHHEGRDDEHUDLRRRHDLUDHFGGELULRFDLGEHULUURUFUHUFLDRLEGRFRFE
> > LEELGDRDUELREEFULGFHLLRURLLURGFGFGLEUHHLEDHHGFFEUGRULFGGFRFGEHRHFHRUDFUREEFEDHHUFLGRLLHDFDUDFDRDRGDR
> > UFRHFRGHRHFRGUURRDFRGHEDUFFUGHEHUDUEDFLEDUDFRLDEUFLRURRGDHELDRUDLLRELUFFLGRHFDRHLEHHLDHDELRELLEDRERE
> > DEERRHRHEUFDGHFEHEFFL
> A base is a different representation. It requires a zero in between containment.
> It does not change Pi.
Who is changing pi?
I am just showing pi in base 8 to produce these renderings in 2d other than in base 10

Re: Using Chris's algorithm, try pi in a base 8 rendering.

<ud80ak$23j50$3@dont-email.me>

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Tue, 5 Sep 2023 12:42:12 -0700
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 by: Chris M. Thomasson - Tue, 5 Sep 2023 19:42 UTC

On 9/5/2023 10:40 AM, Dan joyce wrote:
> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
>>> On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
>>>> On 9/3/2023 12:08 PM, Dan joyce wrote:
>>>>> Going counter clockwise on an 8 sided polygon.
>>>>> Starting @ the bottom --
>>>>> REUHLGDF
>>>>> 123-45670 Digits in base 8 but where the zero =8
>>>>> 3.1103755242102.. too 101 digits.
>>>>> Here is the order of directions following each digit of pi in base 8.
>>>>> fractallife247.com
>>>>>
>>>>> URRFUDLLEHERFEGHUFERLRHEUFGUFLFLGFFGDFRGUERREEFRRRGFERFLRHDGUFDEFFEFEDUDEHGRGGRRGUURFHFFLREFEFDHGRGRL
>>>>
>>>> https://i.ibb.co/j54Y3p5/image.png
>>>>
>>>> Humm. Let me try something for fun. Increasing the size by .1 increments...
>>>>
>>>> https://i.ibb.co/1m5kzB4/image.png
>>>>
>>>> Looks like some sort of odd music scales...
>>>>
>>>>
>>> The strange string instrument?... ;^D
>> There are 8 different directions so a lot of different combinations are possible.
>> The one I went with ---
>> REUHLGDF
>> | | | | | | | |
>> 1234 5 670 where the 0 = 8 in my algorithm.
>> In the 8 sided polygon notice the R is opposite the L and the E opposite the G
>> and the U opposite the D and the H opposite the F
>> So many different renderings are possible.
>> Where can you find more then 101 digits of pi in base 8?
> There are 10,000 digits available.
> This represents the first 621 digits.
> It appears to retrace from left to right and then back again from right to left.
> I will eventually add more to this list
> Set size @ 0.15
[snip commands]

It does retrace!

https://i.ibb.co/x6bGtGh/image.png

Humm... I just thought of a way to detect retraces based on color. It
should work fine. Think of a color channel that sums up hits? If the hit
count is over one, well, it overtraced. Should work fine. Then I can
count overtraces and show the data. What do you think, Dan? Sound okay?

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Tue, 5 Sep 2023 12:47:17 -0700
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 by: Chris M. Thomasson - Tue, 5 Sep 2023 19:47 UTC

On 9/5/2023 11:44 AM, Dan joyce wrote:
> On Tuesday, September 5, 2023 at 2:28:14 PM UTC-4, mitchr...@gmail.com wrote:
>> On Tuesday, September 5, 2023 at 10:41:03 AM UTC-7, Dan joyce wrote:
>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
>>>>> On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
>>>>>> On 9/3/2023 12:08 PM, Dan joyce wrote:
>>>>>>> Going counter clockwise on an 8 sided polygon.
[...]
>> A base is a different representation. It requires a zero in between containment.
>> It does not change Pi.
> Who is changing pi?
> I am just showing pi in base 8 to produce these renderings in 2d other than in base 10

Right. Imho, its fun to map in n directions for n-ary numbers. So for
base ten, or 10-ary, we set pi*2/10 to the base normal angle. Then we
can plot ten directions for any ten ary number.

map them using their direct digits, [0...9]

01128745651

Would create a unique rendering. What do you think Dan? Should I allow
the user to create their own ary'ness, so to speak? I should have some
time in a day or two to work on this again.

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Tue, 5 Sep 2023 12:50:04 -0700
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 by: Chris M. Thomasson - Tue, 5 Sep 2023 19:50 UTC

On 9/5/2023 12:47 PM, Chris M. Thomasson wrote:
> On 9/5/2023 11:44 AM, Dan joyce wrote:
>> On Tuesday, September 5, 2023 at 2:28:14 PM UTC-4, mitchr...@gmail.com
>> wrote:
>>> On Tuesday, September 5, 2023 at 10:41:03 AM UTC-7, Dan joyce wrote:
>>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M.
>>>>> Thomasson wrote:
>>>>>> On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
>>>>>>> On 9/3/2023 12:08 PM, Dan joyce wrote:
>>>>>>>> Going counter clockwise on an 8 sided polygon.
> [...]
>>> A base is a different representation. It requires a zero in between
>>> containment.
>>> It does not change Pi.
>> Who is changing pi?
>> I am just showing pi in base 8 to produce these renderings in 2d other
>> than in base 10
>
> Right. Imho, its fun to map in n directions for n-ary numbers. So for
> base ten, or 10-ary, we set pi*2/10 to the base normal angle. Then we
> can plot ten directions for any ten ary number.
>
> map them using their direct digits, [0...9]
>
> 01128745651
>
> Would create a unique rendering. What do you think Dan? Should I allow
> the user to create their own ary'ness, so to speak? I should have some
> time in a day or two to work on this again.

Then, you can just copy and paste in n-ary numbers and see the plot at will!

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Tue, 5 Sep 2023 20:16 UTC

On Tuesday, September 5, 2023 at 3:50:15 PM UTC-4, Chris M. Thomasson wrote:
> On 9/5/2023 12:47 PM, Chris M. Thomasson wrote:
> > On 9/5/2023 11:44 AM, Dan joyce wrote:
> >> On Tuesday, September 5, 2023 at 2:28:14 PM UTC-4, mitchr...@gmail.com
> >> wrote:
> >>> On Tuesday, September 5, 2023 at 10:41:03 AM UTC-7, Dan joyce wrote:
> >>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
> >>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M.
> >>>>> Thomasson wrote:
> >>>>>> On 9/3/2023 3:42 PM, Chris M. Thomasson wrote:
> >>>>>>> On 9/3/2023 12:08 PM, Dan joyce wrote:
> >>>>>>>> Going counter clockwise on an 8 sided polygon.
> > [...]
> >>> A base is a different representation. It requires a zero in between
> >>> containment.
> >>> It does not change Pi.
> >> Who is changing pi?
> >> I am just showing pi in base 8 to produce these renderings in 2d other
> >> than in base 10
> >
> > Right. Imho, its fun to map in n directions for n-ary numbers. So for
> > base ten, or 10-ary, we set pi*2/10 to the base normal angle. Then we
> > can plot ten directions for any ten ary number.
> >
> > map them using their direct digits, [0...9]
> >
> > 01128745651
> >
> > Would create a unique rendering. What do you think Dan? Should I allow
> > the user to create their own ary'ness, so to speak? I should have some
> > time in a day or two to work on this again.
> Then, you can just copy and paste in n-ary numbers and see the plot at will!
Sounds good.
I want to run more of these pi in base 8 directions. Plenty more to try, 10,000 in fact.
It is strange that the first 621 digits of pi in base 8 draws to the right then to the left and
then starts to draw to the right again.
There are a lot of retraces when you get directions grouped together like DUDU or GEGE.
That is where you see a bunch of single lines that end in the rendering.
I don't know if this has been tried before where using pi in a base 8 rendering?

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Fri, 8 Sep 2023 17:00:53 -0700
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 by: Chris M. Thomasson - Sat, 9 Sep 2023 00:00 UTC

On 9/8/2023 3:07 PM, Dan joyce wrote:
> On Friday, September 8, 2023 at 6:00:15 PM UTC-4, Dan joyce wrote:
>> On Tuesday, September 5, 2023 at 1:41:03 PM UTC-4, Dan joyce wrote:
>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
[...]

10 ary experiment:

https://i.ibb.co/Kmzc9dc/image.png

Using symbols matching our normal digits.

0123456789 for 10-ary

We can put 10 ary number right in there to draw them... :^)

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Fri, 8 Sep 2023 17:05:08 -0700
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 by: Chris M. Thomasson - Sat, 9 Sep 2023 00:05 UTC

On 9/8/2023 3:07 PM, Dan joyce wrote:
> On Friday, September 8, 2023 at 6:00:15 PM UTC-4, Dan joyce wrote:
>> On Tuesday, September 5, 2023 at 1:41:03 PM UTC-4, Dan joyce wrote:
>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
[...]

Some 10-ary digits of pi:

https://i.ibb.co/z41P87Z/image.png

:^)

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Sat, 9 Sep 2023 13:28 UTC

On Friday, September 8, 2023 at 8:05:18 PM UTC-4, Chris M. Thomasson wrote:
> On 9/8/2023 3:07 PM, Dan joyce wrote:
> > On Friday, September 8, 2023 at 6:00:15 PM UTC-4, Dan joyce wrote:
> >> On Tuesday, September 5, 2023 at 1:41:03 PM UTC-4, Dan joyce wrote:
> >>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
> >>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
> [...]
>
> Some 10-ary digits of pi:
>
> https://i.ibb.co/z41P87Z/image.png
>
> :^)
Nice! So zero has length. That's ok because all 10 lines are of equal length.
The base 8 drawings are the same but what if the line length was associated with its digit
length? I have done pi on the plane in this manner also where a zero just changes direction
to the next digit and each line represents its digit length and a zero maintains its angle only.
Good work Chris.

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Sat, 9 Sep 2023 13:11:00 -0700
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 by: Chris M. Thomasson - Sat, 9 Sep 2023 20:11 UTC

On 9/9/2023 6:28 AM, Dan joyce wrote:
> On Friday, September 8, 2023 at 8:05:18 PM UTC-4, Chris M. Thomasson wrote:
>> On 9/8/2023 3:07 PM, Dan joyce wrote:
>>> On Friday, September 8, 2023 at 6:00:15 PM UTC-4, Dan joyce wrote:
>>>> On Tuesday, September 5, 2023 at 1:41:03 PM UTC-4, Dan joyce wrote:
>>>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>>>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M. Thomasson wrote:
>> [...]
>>
>> Some 10-ary digits of pi:
>>
>> https://i.ibb.co/z41P87Z/image.png
>>
>> :^)
> Nice! So zero has length.

My unit for this is at .03 and my time was at zero. I wanted to watch it
render rather quickly... :^)

https://i.ibb.co/NpMbT3h/image.png

That's ok because all 10 lines are of equal length.
> The base 8 drawings are the same but what if the line length was associated with its digit
> length? I have done pi on the plane in this manner also where a zero just changes direction
> to the next digit and each line represents its digit length and a zero maintains its angle only.
> Good work Chris.

Now, I can do this. So, 9 has a longer unit length than 1, and one is
longer than 0. The value of the digits would determine their length. 0
would have a base unit length just so we can see the damn thing plot on
the canvas. Or we can make zero have no unit length, and it just
represents a point in the plane, akin to a pause or place holder, so to
speak.

Make any sense to you, Dan?

Say we go up twice, and have ten commands of the zero placeholder, and
one more up. That means we went up only three times. The zero commands
were there as "do nothing" placeholders?

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
Date: Sat, 9 Sep 2023 13:22:19 -0700
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 by: Chris M. Thomasson - Sat, 9 Sep 2023 20:22 UTC

On 9/9/2023 1:11 PM, Chris M. Thomasson wrote:
> On 9/9/2023 6:28 AM, Dan joyce wrote:
>> On Friday, September 8, 2023 at 8:05:18 PM UTC-4, Chris M. Thomasson
>> wrote:
>>> On 9/8/2023 3:07 PM, Dan joyce wrote:
>>>> On Friday, September 8, 2023 at 6:00:15 PM UTC-4, Dan joyce wrote:
>>>>> On Tuesday, September 5, 2023 at 1:41:03 PM UTC-4, Dan joyce wrote:
>>>>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
>>>>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M.
>>>>>>> Thomasson wrote:
>>> [...]
>>>
>>> Some 10-ary digits of pi:
>>>
>>> https://i.ibb.co/z41P87Z/image.png
>>>
>>> :^)
>> Nice! So zero has length.
>
> My unit for this is at .03 and my time was at zero. I wanted to watch it
> render rather quickly... :^)
>
> https://i.ibb.co/NpMbT3h/image.png
>
>
> That's ok because all 10 lines are of equal length.
>> The base 8 drawings are the same but what if the line length was
>> associated with its digit
>> length? I have done pi on the plane in this manner also where  a zero
>> just changes direction
>> to the next digit and each line represents its digit length and a zero
>> maintains its angle only.
>>   Good work Chris.
>
> Now, I can do this. So, 9 has a longer unit length than 1, and one is
> longer than 0. The value of the digits would determine their length. 0
> would have a base unit length just so we can see the damn thing plot on
> the canvas. Or we can make zero have no unit length, and it just
> represents a point in the plane, akin to a pause or place holder, so to
> speak.
>
> Make any sense to you, Dan?
>
> Say we go up twice, and have ten commands of the zero placeholder, and
> one more up. That means we went up only three times. The zero commands
> were there as "do nothing" placeholders?

0 can be special and plotted as a little circle wrt being able to
visualize a point, and have zero unit length... So it goes nowhere. Its
a place holder, however we could see them because they would be plotted
as small circles.

Re: Using Chris's algorithm, try pi in a base 8 rendering.

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Subject: Re: Using Chris's algorithm, try pi in a base 8 rendering.
From: danj4...@gmail.com (Dan joyce)
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 by: Dan joyce - Sat, 9 Sep 2023 21:16 UTC

On Saturday, September 9, 2023 at 4:22:30 PM UTC-4, Chris M. Thomasson wrote:
> On 9/9/2023 1:11 PM, Chris M. Thomasson wrote:
> > On 9/9/2023 6:28 AM, Dan joyce wrote:
> >> On Friday, September 8, 2023 at 8:05:18 PM UTC-4, Chris M. Thomasson
> >> wrote:
> >>> On 9/8/2023 3:07 PM, Dan joyce wrote:
> >>>> On Friday, September 8, 2023 at 6:00:15 PM UTC-4, Dan joyce wrote:
> >>>>> On Tuesday, September 5, 2023 at 1:41:03 PM UTC-4, Dan joyce wrote:
> >>>>>> On Sunday, September 3, 2023 at 7:05:20 PM UTC-4, Dan joyce wrote:
> >>>>>>> On Sunday, September 3, 2023 at 6:44:18 PM UTC-4, Chris M..
> >>>>>>> Thomasson wrote:
> >>> [...]
> >>>
> >>> Some 10-ary digits of pi:
> >>>
> >>> https://i.ibb.co/z41P87Z/image.png
> >>>
> >>> :^)
> >> Nice! So zero has length.
> >
> > My unit for this is at .03 and my time was at zero. I wanted to watch it
> > render rather quickly... :^)
> >
> > https://i.ibb.co/NpMbT3h/image.png
> >
> >
> > That's ok because all 10 lines are of equal length.
> >> The base 8 drawings are the same but what if the line length was
> >> associated with its digit
> >> length? I have done pi on the plane in this manner also where a zero
> >> just changes direction
> >> to the next digit and each line represents its digit length and a zero
> >> maintains its angle only.
> >> Good work Chris.
> >
> > Now, I can do this. So, 9 has a longer unit length than 1, and one is
> > longer than 0. The value of the digits would determine their length. 0
> > would have a base unit length just so we can see the damn thing plot on
> > the canvas. Or we can make zero have no unit length, and it just
> > represents a point in the plane, akin to a pause or place holder, so to
> > speak.
> >
> > Make any sense to you, Dan?
> >
> > Say we go up twice, and have ten commands of the zero placeholder, and
> > one more up. That means we went up only three times. The zero commands
> > were there as "do nothing" placeholders?
> 0 can be special and plotted as a little circle wrt being able to
> visualize a point, and have zero unit length... So it goes nowhere. Its
> a place holder, however we could see them because they would be plotted
> as small circles.
Or just a dot and the next digit length and angle taking off from that point.
If you have zeros in a row that dot will be overwritten and only 1 dot showing no matter
how many zeroes in a row there are. So basically 9 different line lengths and 10 angles.
So between 9 and 1 the visible angle will be greater then all the rest. As the angle between
(1,2)(2,3)(3,4)(4,5)(5,6)(6,7)(7,8)(8,9) if the next digit is one more from the previous digit the
angle difference will be constant except between (9,1).

1
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