Be the star of the evening (at least with the youngsters). Print this enumeration on a few sheets of paper and give pencils around: Six, one, eight, five, two, seven, four, ten, one, two, two, three, seven, zero, close. Ask the kids to draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy! Best, É.
Six, one, eight, five, two, seven, four, ten, one, two, two, three, seven, zero, close.
Ask the kids to draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
That's a solution of the Post correspondence problem over the words: xxe|e xxx|xe xxxee|xxe xxxx|xxxe xxxe|xxxxe xxx|xxxxxe xexex|xxxxxxe exxxx|xxxxxxxe xxxe|xxxxxxxxe xex|xxxxxxxxxe xexxxxxxe| As well as the restriction that the fnal word ('zero close') appears once at the end of the string. http://en.wikipedia.org/wiki/Post_correspondence_problem Sincerely, Adam P. Goucher
Didn't know that stuff! Many thanks, Adam! Best, É. -----Message d'origine----- De : math-fun-bounces@mailman.xmission.com [mailto:math-fun-bounces@mailman.xmission.com] De la part de Adam P. Goucher Envoyé : mardi 13 décembre 2011 18:33 À : math-fun Objet : Re: [math-fun] A Xmas present
Six, one, eight, five, two, seven, four, ten, one, two, two, three, seven, zero, close.
Ask the kids to draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
That's a solution of the Post correspondence problem over the words: xxe|e xxx|xe xxxee|xxe xxxx|xxxe xxxe|xxxxe xxx|xxxxxe xexex|xxxxxxe exxxx|xxxxxxxe xxxe|xxxxxxxxe xex|xxxxxxxxxe xexxxxxxe| As well as the restriction that the fnal word ('zero close') appears once at the end of the string. http://en.wikipedia.org/wiki/Post_correspondence_problem Sincerely, Adam P. Goucher _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
this is about as long as i could get with a reasonable ending: six, one, eight, five, two, seven, six, one, fourteen, two, four, four, seven, one, nine, two, three, two, four, seven, seven, one, four, one, two, three, three, sequence erich On Dec 13, 2011, at 11:08 AM, Eric Angelini wrote:
Be the star of the evening (at least with the youngsters). Print this enumeration on a few sheets of paper and give pencils around:
Six, one, eight, five, two, seven, four, ten, one, two, two, three, seven, zero, close.
Ask the kids to draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
Best, É.
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Nice! There might exist an infinite such sequence for another letter? I don't know if E is the most common one for the 30 (?) number names in English... Best, É. Envoyé d'un iPhone Le 15 déc. 2011 à 04:46, "Erich Friedman" <efriedma@stetson.edu> a écrit :
this is about as long as i could get with a reasonable ending:
six, one, eight, five, two, seven, six, one, fourteen, two, four, four, seven, one, nine, two, three, two, four, seven, seven, one, four, one, two, three, three, sequence
erich
On Dec 13, 2011, at 11:08 AM, Eric Angelini wrote:
Be the star of the evening (at least with the youngsters). Print this enumeration on a few sheets of paper and give pencils around:
Six, one, eight, five, two, seven, four, ten, one, two, two, three, seven, zero, close.
Ask the kids to draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
Best, É.
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_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
Erich Friedman: this is about as long as i could get with a reasonable ending:
six, one, eight, five, two, seven, six, one, fourteen, two, four, four, seven, one, nine, two, three, two, four, seven, seven, one, four, one, two, three, three, sequence.
Eric A.: draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
... Here we go to infinity thanks to the morphism: FOUR --> NINE NINE --> FORTY-FIVE FORTY-FIVE --> FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE E = SIX TWENTY FOUR FOUR FORTY-FIVE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE FORTY-FIVE FORTY-FIVE NINE NINE NINE NINE NINE NINE NINE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE ... Best, É.
One FOUR too much in the last morphism line, sorry. Should read: ... Here we go to infinity thanks to the morphism: FOUR --> NINE NINE --> FORTY-FIVE FORTY-FIVE --> FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE E = SIX TWENTY FOUR FOUR FORTY-FIVE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE FORTY-FIVE FORTY-FIVE NINE NINE NINE NINE NINE NINE NINE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE ... Best, É. -----Message d'origine----- De : Eric Angelini Envoyé : jeudi 15 décembre 2011 14:53 À : 'math-fun' Objet : RE: [math-fun] A Xmas present
Erich Friedman: this is about as long as i could get with a reasonable ending:
six, one, eight, five, two, seven, six, one, fourteen, two, four, four, seven, one, nine, two, three, two, four, seven, seven, one, four, one, two, three, three, sequence.
Eric A.: draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
... Here we go to infinity thanks to the morphism: FOUR --> NINE NINE --> FORTY-FIVE FORTY-FIVE --> FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE E = SIX TWENTY FOUR FOUR FORTY-FIVE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE FORTY-FIVE FORTY-FIVE NINE NINE NINE NINE NINE NINE NINE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE ... Best, É.
it would be more in the spirit to have an infinitely long sequence which contained an infinite number of different positive integers. i believe it is possible for E, though i can't prove it. i suspect it may also be possible for other letters like T. erich On Dec 15, 2011, at 8:56 AM, Eric Angelini wrote:
One FOUR too much in the last morphism line, sorry. Should read:
... Here we go to infinity thanks to the morphism:
FOUR --> NINE NINE --> FORTY-FIVE FORTY-FIVE --> FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE
E = SIX TWENTY FOUR FOUR FORTY-FIVE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE FORTY-FIVE FORTY-FIVE NINE NINE NINE NINE NINE NINE NINE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE ...
Best, É.
-----Message d'origine----- De : Eric Angelini Envoyé : jeudi 15 décembre 2011 14:53 À : 'math-fun' Objet : RE: [math-fun] A Xmas present
Erich Friedman: this is about as long as i could get with a reasonable ending:
six, one, eight, five, two, seven, six, one, fourteen, two, four, four, seven, one, nine, two, three, two, four, seven, seven, one, four, one, two, three, three, sequence.
Eric A.: draw a thin vertical stroke after each letter "e". Count the letters between the strokes. Enjoy!
... Here we go to infinity thanks to the morphism:
FOUR --> NINE NINE --> FORTY-FIVE FORTY-FIVE --> FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE
E = SIX TWENTY FOUR FOUR FORTY-FIVE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE FORTY-FIVE FORTY-FIVE NINE NINE NINE NINE NINE NINE NINE NINE NINE FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FOUR FORTY-FIVE ...
Best, É.
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Erich F.:
it would be more in the spirit to have an infinitely long sequence which contained an infinite number of different positive integers. i believe it is possible for E, though i can't prove it. (...)
It is possible in French: http://www.cetteadressecomportecinquantesignes.com/SIXQUINZE.htm Bet, É.
participants (3)
-
Adam P. Goucher -
Eric Angelini -
Erich Friedman