Thread: Base 6 the magic base

1. Originally Posted by Keith&Co.
No, and i don't gotta.
You've got 9 elements, with 8 filled in, but no points to say THIS is how the figure must be drawn. And for the 5, some points are on filled in squares, some are on blank elements OR squeezed into a shared element. So you have to fudge to get results, anyway.

Not terribly useful, fudged systems, because you only get dependable answers if you know where to cheat.
7 point geometry means octal
No it does not.
1110000
1001100
1000011
0100110
0101001
0010101
0011010

...with no two iterations having more than a single set bit in overlap.

and the circle doesn't really have points?
kinda my point...
I'm giving up on what you were responding to back there - after all I was in a mental ward at the time. Though I think I'm onto something with the numbers and 4 Playstation symbols, etc.

Also, i can count to 1023 on my fingers, a fact i have demonstrated for each child's girlfriend, just to mortify them (the boys, not the girlfriends].
Have you actually tried though? It involves every single combination of fingers being up and down. I am unable to have the little finger/pinky down with the others up. I'm sure large numbers of people have the same problem.

2. I was thinking that "web safe" colours are related to base 6.... there are 6 possibilities for each colour channel... 0 to 15 and 0 to 255 can be divided evenly into fifths (0, 3, 6, 9, C, F) (or every 51 from 0 to 255).

In the novel "Contact" by Carl Sagan there is a hidden message encoded in PI in base 11:
She find a long string of 1's and 0's late in the expansion of Pi in base 11. It's length is a product of two primes, indicating a two dimensional array. So, she plots it on her computer screen (each digit representing a pixel) and sees a perfect circle. The constant which describes the ratio of a circle's circumference to its diameter itself contains a picture of a circle!
I heard that Tau is superior to Pi (tau = 2 PI)
https://en.wikipedia.org/wiki/Turn_(...#Tau_proposals

Then I thought the base should be base 36:
https://en.wikipedia.org/wiki/Senary...ry_compression

(Math.PI*2).toString(36) [in the javascript console]

= 6.a70akmheav

hmmmm kind of interesting... I'll see if I can get more characters

https://pythonhosted.org/bigfloat/

"...arbitrary-precision floating-point reliable arithmetic...."

3. Ok I found the answer:

https://www.wolframalpha.com/input/?i=pi+*+2+in+base+36

BaseForm[Pi 2, 36]

6.a70akmheavkkb2z4e50glko8fttz6kp732jzaih7nv8c3rx9 k2vjxmp09o5gvik5r2lse0oyd22a7e7yjz6abp5z614lft3wx3 do0cf1wjtbyryja937msrn1s4mcakpjf16j724dlmaogvuhkb7 fkufekd2ancyp5e6ygtxu8x4f9yldwzl0jab4d8qmqeyly8i37 e4dygl4l1afgvycm8jtzc8d7bogw480g1qch6ud8kkj05xpy1m 5dze4f32j6g4tgk3ts01f1ecfe0joffhefy6ior0k456trthif zvacdzlswcnpxtwu9iq8gwlh1wwgdnjlqqmcqhs6k8pwmh3gwa 325hg23abl36uts8rlttkpcwddb7um9sxf0pqvp7jk3up6p469 3086p4o53fz76yukic8fyxk0p2tubhx0qp3gjq5weh0p89ei97 4uqvmqnsrbdw0emsedrc3vq4im6hp5cm6rcaxc1r6yfyd07bbe twxbyltsuh5z2h8baxl3xb0owcrb8bgh4y56p10a1krikab06y alal0g6am01sn6fiu7jebi58qe9trnw8mcltylkxibzfl59v88 mv9wi4pw8tb6w1y5djmg8vu2n6xauqn02ctw569nunaqn3wv1x 0h1opd7zliwjty4v81a38w7dfvosnxurzxhs21vdzvfttl88yd 602q0ki75awqwg9coywk6ywsnnaqymc8i4fcfoyp7zn32hqx66 t94fqv7vizqdp0lnmxw0vjoy8disu27qmoogv806w87hj1mrcb n66c8io28xpsskz2b784zsu40j1rhr4be2o8yxw0t7rs6xjvs7 728ucv2gscma6oegxazlekp4uz0jbpwg9lhd0a6c8afs6i3jtr mskdeoqbrry4dzfzdh1tkjhq7yg554npac3tc0b09xkz4nvi2q w6c1go1anxzb353qtnwmmmtd0fvpeumqcc7jfn1148jgrb0ll6 xg4z82ifiwvww0jph07q3el8y
So far no obvious messages...

and here's pi:
3.53i5ab8p5fsa5jhk72i8asc47wwzlacljj9zn98ltxm61vym s1frytci4u2qfra2vjaw70ch6j153p3z9zl55ukzl0kapwjygj ou067iy9wnzdz9n4jltedtiw2b65acrpil9lj26st5c8fx8s5l psf7pa6j5bohckp3h8eyx4gk7mzaoyhsi9n5k6mdbd7haz491l p26z8akain7qfz6b49wzo46lnu8g24080v68lf6maa9i2yuz0t 2ozp27jj9l82eqa1ww00pip67p09u7pqp7z39cdia22levwqr7 zxn66zswg6buywyf4rd48gaqiyg86trsvdb6d8w3a4cyb8jqg5 1j2qq11n5sjlfew4dswwscog6onlxb4wgpicvfulrs1xclck34 ji43ckc2jpzllhfa9647zgs0cjex5qyidcjq9v2y78icm4p94l kfdftdbwdnoy07be76vo1xv29b38ukob3do5go0vlh7z6i3nnp eygnzawwf8kzj8m5ngsjynicg6dnm5q8kh2lcii50sdra55i3h 5anai835b00wbl7rf3rp5r2md74wvty4b6awzasgr5zpskmxm4 bfmy92cy4enlg0z2ort84fx1blgnfdbi16ey2l4txbndbjyfiy i8iucolzsrg9wz2fm0n1mg3opxuebyxdzyqw10xozxpwwsm4h6 l01d0a93kngdg84ochga3hgebtndhb64927o7uhclztjj8vgl3 emk7vflxrhv6uiattgy0fruh46ref13vbcc8fm03g43qritdo5 tl3649c14guweahj5lm2hwf209ivqvk5p1c4hgy0elvw3grxw3 lj4f6fj8e6b53c78gnhspackfhi9nuy84sqoi536457w391rwv tea6pcd5vvz26zpzoqiws9qv3z82kkbun61wo05i4yshkbxr1d g360qc0nbyznjkjvetybbbeoi7xupfbd663rptiik49qdniasl gq2hm197rgfyg09uqi3v1pamh
https://www.wolframalpha.com/input/?...i))+in+base+36

BaseForm[1/(2 Pi), 36]

0.5q9j6st553rou4hht6myee0xn1sz7gqe4tiwzqo9gme9ejm5 dvu9jm88s6e3gxr7j4y34p2lqadclnus03r248zjyyi31sqc41 mj0djnp500kdn47p3qjtbwladewy2l4ud40pr2tyj625cl129v mbw7xxrkbwxs16g1pmyptw8z3nc8u6fpp4duwff0exfnncm8mx fdq44yy7ws0zwfydpbpkwzmx2eu8e7qsl35w0cq42nu57ojuap 780g2mwz2ssne20bnq1sqxii664l6zybzd2iq7h2wdzjrvzoy2 etfudycwc9jum8kyy4s1xz6qdxmzpbrv4vp4uqqjcbk88ieks7 43hqndztnvndp7k82q7oph5y1cqse79uzgmtkdjhbscx1sisnm hc1bmghefa3b71h8fqv6x7wvjnnn35oj7vd9g197aas0om42af 8jose35htyewldns3j4bkj1t7xwntqdtn9j5fegylafvgko1sz 3dgybhe2d9en48t4oqq65yvqozji7dr5eq0s8q1zqlfvhxkcxv 3jtf91ghnxvfov79tsdohod4w4c7fg78f0f67e6zmr0z5jyqrm 2wydbmhinzgcgyb82gzwdwioz8r6tpbwnxav53xdhryvok7gx8 c8ddiajaovc5361mlcpyp27axk2eu0u6mcw5p2p9e081ba0j02 ca8me4276eu8g5944hvbld7bhpai9rlpu0l929lcr28scrum5b ozprp8z5fgxl2qknfcg8oa234olfl2r67mp2o1vr8e3uypwmyk 2pe8vrgvukp5zri38hvasotu51ms9tp6zf5i5ctbzz9hdoh40k 6vl3407qojjaphyg78tp1kti4ls293uy7mxpad6c876f2578qs lfqw59o3vgoegraty6k01u3wf12nri0tvxwfzfhp6mqyxi6v64 4tejv0fpgarc888v1l273dibud04v3c0dsezlcgowzc5i9s32l ctnh50sqne0ijbdaqg7qp9vub5
I found the word "scrum" in there.... I guess that a word like that is fairly likely to appear by chance....

The golden ratio:
1.m8yzrxravmena1u80th1g4pa1sf6zcl4ozii2gn3qn8i03tf tt8nrmx0yj6m8vt5883ikylbfflmtpvqv7c76qdeo6smah3v3y rz93jv6j7y5s4078zbs7ixwf06h9rbardo93496967ul2ghzew kfu8nae24yk1igk34kumyquar30pgq0xr9iwd6lmlza9v95ko3 4hndz8qe3jyeius086mzkm35a55gogiaso8a5cl9l9o0jih514 q79g53l7wawo13f16v2iefq29tfckaccsdc3ndnmyr5adquvq8 jai8ox9odkdm5qiquvigyhcygw5o894run88sy9y2kao9ge6ai a2ndqw46kcvkgea0hxx4tc9eu1d6nmztj6dkfsutmo86nslhsw tnofociqz50lxkm8yekdu1b3x0nk118w567z46bpkk9ejv5fgw fkapnb1qrvn4s3m93xm1ilyz3r9tk93w6msiedw3o1g3h2ietv ezmnuh7pyajla9ygivwwh8kf5sur337k5wfl0oottxfpl44f2u 9dunadciuk6c08h773xqgsm04547jg5lecmg1sememkr0d8zwd a5ero94ij4hhne3z1e1og2pncdo26i3u7pv6jbijueq5kswpu1 vzqwqslf76yhfg2rh9hij91jr2di9eii8lw1airlpn4xr9wy0x m5nkg6iyh77bi4tkl1my4xidyrxxsrhtiyy3l5calchq8tcmsz 1atu4udnh8r7rsuwa70no51vpf9ud6rc1lcrgs2ih2hbg93sip giacvtyf970rm5pt666rb281tkpzuo5048qbbsx8zjwzi807v3 uovzt11q7cdebuu1oia3vwn54c55i9k3mi1bkq68zu8g8zzuru gt28w0wk81g9nejdbr4t576bh2l0e7l02mz29ceu16ojk4obub wcwkz5rtbw9nvgf34am69u1t2k4k6k4retp21yvi64wzu91en4 lh2lftwvm3tl7wkzbkm755m8su
This kind of thing is a goldmine for people who are looking for patterns like John Nash in "A Beautiful Mind".

4. Using Wolfram more -
http://develop.open.wolframcloud.com/app/
then "Create a New Notebook" then
StringJoin[{"0","1","2","3","4","5","6","7","8","9","a","b"," c","d","e","f","g","h","i","j","k","l","m","n","o" ,"p","q","r","s","t","u","v","w","x","y","z"}[[RealDigits[GoldenRatio,36,1500][[1]]+1]]]
I think the golden ratio is a more special number than Tau or Pi...

to 200,000 decimal places: (the decimal dot isn't shown)
https://sky-walker.net/temp/base36/goldenratio200k.txt
to 1 million (has the f word and c word - 3 letter combinations are pretty common, 4 letter combinations are rarer)
https://sky-walker.net/temp/base36/goldenratio1m.txt
to 5 million
https://sky-walker.net/temp/base36/goldenratio5m.txt

as people probably already know, 1/GoldenRatio = GoldenRatio - 1

https://sky-walker.net/temp/base36/pi200k.txt

https://sky-walker.net/temp/base36/2pi200k.txt

https://sky-walker.net/temp/base36/1over2pi200k.txt

A related thing: "Bible codes"
https://en.wikipedia.org/wiki/Bible_code

5. Originally Posted by Keith&Co.
....Also, i can count to 1023 on my fingers, a fact i have demonstrated for each child's girlfriend, just to mortify them (the boys, not the girlfriends].
Sorry I doubted you - the thing was that I can't do some of the combinations such as only having the pinky down...

6. Originally Posted by excreationist
Also, i can count to 1023 on my fingers, a fact i have demonstrated for each child's girlfriend, just to mortify them (the boys, not the girlfriends].
Have you actually tried though? It involves every single combination of fingers being up and down. I am unable to have the little finger/pinky down with the others up. I'm sure large numbers of people have the same problem.
Yes, I have tried. I have done it (thus the word 'demonstrated' in the post you quoted...). There's got to be SOME benefit to sitting at a weapons console for hours at a stretch during peacetime. It takes practice, like the Vulcan salute.

7. Originally Posted by Keith&Co.
Originally Posted by excreationist
Also, i can count to 1023 on my fingers, a fact i have demonstrated for each child's girlfriend, just to mortify them (the boys, not the girlfriends].
Have you actually tried though? It involves every single combination of fingers being up and down. I am unable to have the little finger/pinky down with the others up. I'm sure large numbers of people have the same problem.
Yes, I have tried. I have done it (thus the word 'demonstrated' in the post you quoted...). There's got to be SOME benefit to sitting at a weapons console for hours at a stretch during peacetime. It takes practice, like the Vulcan salute.
Hi I apologised in my previous post for not believing you. I wonder if I will be able to do it with practice. I mean when I have my pinky down my ring finger is fully down. Also I thought the reason why combinations like 15 (just pinky down) were missing from the photos was because people were unable to do it properly:
https://en.wikipedia.org/wiki/Finger_binary#Examples

8. In base 2 I can count to 2^10 with 10 fingers, 2^20 including my toes. 2^23 including both eyes and my mouth. 2^25 including raising and lowering both arms. I can add one more bit standing and sitting making it 2 ^25.

9. Originally Posted by steve_bank
In base 2 I can count to 2^10 with 10 fingers, 2^20 including my toes. 2^23 including both eyes and my mouth. 2^25 including raising and lowering both arms. I can add one more bit standing and sitting making it 2 ^25.

10. Would be better with lisp.

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