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Unique series for repeating 3 numbers 27 times
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$begingroup$
I am an amateur magician and learning lots about math while advancing my magical knowledge.
One particular trick uses 3 numbers collectively repeated 27 times.
At any point in this ordering you can select 3 numbers in a row and they will be a unique combination. It runs circular meaning the end 2 numbers and the top one will also be unique.
An example is;
111222333113322131321232312
Does anyone know the name of this? I thought the lecturer named it a "Turner DeBreaux Cycle" but I can't find this reference anywhere (I may be spelling it wrong).
The name of the cycle/series. Who discovered it or where I can read more about it would be greatly appreciated. I could have blindly put together the order eventually hitting on the right combination but I am desperate to understand the logic behind it.
sequences-and-series
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
I am an amateur magician and learning lots about math while advancing my magical knowledge.
One particular trick uses 3 numbers collectively repeated 27 times.
At any point in this ordering you can select 3 numbers in a row and they will be a unique combination. It runs circular meaning the end 2 numbers and the top one will also be unique.
An example is;
111222333113322131321232312
Does anyone know the name of this? I thought the lecturer named it a "Turner DeBreaux Cycle" but I can't find this reference anywhere (I may be spelling it wrong).
The name of the cycle/series. Who discovered it or where I can read more about it would be greatly appreciated. I could have blindly put together the order eventually hitting on the right combination but I am desperate to understand the logic behind it.
sequences-and-series
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
1
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
$endgroup$
– Donald Splutterwit
Mar 10 at 21:39
1
$begingroup$
It sounds like you are referring to a De Bruijn sequence.
$endgroup$
– JMoravitz
Mar 10 at 21:39
$begingroup$
That's precisely what I was looking for, thank you both. Can one of you answer below so I can accept it (I don't see how to accept a comment).
$endgroup$
– Andrew Baird
Mar 10 at 22:18
add a comment |
$begingroup$
I am an amateur magician and learning lots about math while advancing my magical knowledge.
One particular trick uses 3 numbers collectively repeated 27 times.
At any point in this ordering you can select 3 numbers in a row and they will be a unique combination. It runs circular meaning the end 2 numbers and the top one will also be unique.
An example is;
111222333113322131321232312
Does anyone know the name of this? I thought the lecturer named it a "Turner DeBreaux Cycle" but I can't find this reference anywhere (I may be spelling it wrong).
The name of the cycle/series. Who discovered it or where I can read more about it would be greatly appreciated. I could have blindly put together the order eventually hitting on the right combination but I am desperate to understand the logic behind it.
sequences-and-series
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
I am an amateur magician and learning lots about math while advancing my magical knowledge.
One particular trick uses 3 numbers collectively repeated 27 times.
At any point in this ordering you can select 3 numbers in a row and they will be a unique combination. It runs circular meaning the end 2 numbers and the top one will also be unique.
An example is;
111222333113322131321232312
Does anyone know the name of this? I thought the lecturer named it a "Turner DeBreaux Cycle" but I can't find this reference anywhere (I may be spelling it wrong).
The name of the cycle/series. Who discovered it or where I can read more about it would be greatly appreciated. I could have blindly put together the order eventually hitting on the right combination but I am desperate to understand the logic behind it.
sequences-and-series
sequences-and-series
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
asked Mar 10 at 21:35
Andrew BairdAndrew Baird
1
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
$endgroup$
– Donald Splutterwit
Mar 10 at 21:39
1
$begingroup$
It sounds like you are referring to a De Bruijn sequence.
$endgroup$
– JMoravitz
Mar 10 at 21:39
$begingroup$
That's precisely what I was looking for, thank you both. Can one of you answer below so I can accept it (I don't see how to accept a comment).
$endgroup$
– Andrew Baird
Mar 10 at 22:18
add a comment |
1
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
$endgroup$
– Donald Splutterwit
Mar 10 at 21:39
1
$begingroup$
It sounds like you are referring to a De Bruijn sequence.
$endgroup$
– JMoravitz
Mar 10 at 21:39
$begingroup$
That's precisely what I was looking for, thank you both. Can one of you answer below so I can accept it (I don't see how to accept a comment).
$endgroup$
– Andrew Baird
Mar 10 at 22:18
1
1
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
$endgroup$
– Donald Splutterwit
Mar 10 at 21:39
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
$endgroup$
– Donald Splutterwit
Mar 10 at 21:39
1
1
$begingroup$
It sounds like you are referring to a De Bruijn sequence.
$endgroup$
– JMoravitz
Mar 10 at 21:39
$begingroup$
It sounds like you are referring to a De Bruijn sequence.
$endgroup$
– JMoravitz
Mar 10 at 21:39
$begingroup$
That's precisely what I was looking for, thank you both. Can one of you answer below so I can accept it (I don't see how to accept a comment).
$endgroup$
– Andrew Baird
Mar 10 at 22:18
$begingroup$
That's precisely what I was looking for, thank you both. Can one of you answer below so I can accept it (I don't see how to accept a comment).
$endgroup$
– Andrew Baird
Mar 10 at 22:18
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
Donald Splutterwit
Answered first by Donald Splutterwit in the comments below the question. Many thanks!
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
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$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
Donald Splutterwit
Answered first by Donald Splutterwit in the comments below the question. Many thanks!
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
Donald Splutterwit
Answered first by Donald Splutterwit in the comments below the question. Many thanks!
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
Donald Splutterwit
Answered first by Donald Splutterwit in the comments below the question. Many thanks!
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
Donald Splutterwit
Answered first by Donald Splutterwit in the comments below the question. Many thanks!
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
New contributor
Andrew Baird is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
1
answered Mar 11 at 7:50
Andrew BairdAndrew Baird
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1
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1
$begingroup$
en.wikipedia.org/wiki/De_Bruijn_sequence ... De Bruijn !!
$endgroup$
– Donald Splutterwit
Mar 10 at 21:39
1
$begingroup$
It sounds like you are referring to a De Bruijn sequence.
$endgroup$
– JMoravitz
Mar 10 at 21:39
$begingroup$
That's precisely what I was looking for, thank you both. Can one of you answer below so I can accept it (I don't see how to accept a comment).
$endgroup$
– Andrew Baird
Mar 10 at 22:18