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Domino Overhang


Best Answer gavinksong, 03 August 2013 - 08:02 AM

Let the length of a domino be 1.  On the edge of a table, a single domino can extend out a distance of 1/2 before being unbalanced.  A stack of two dominoes can extend out a distance of 3/4.  How large of an overhang can you create with 5? 10? N?  How many dominoes are needed before the top domino is one full horizontal length away from the edge of the table, for a full overhang length of 2?  Each domino must be placed in the same orientation (don't rotate the dominoes or stand them on end.)

 

this can also be done with playing cards  :dry:

Spoiler for answers
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8 replies to this topic

#1 BMAD

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Posted 29 July 2013 - 04:04 PM

Let the length of a domino be 1.  On the edge of a table, a single domino can extend out a distance of 1/2 before being unbalanced.  A stack of two dominoes can extend out a distance of 3/4.  How large of an overhang can you create with 5? 10? N?  How many dominoes are needed before the top domino is one full horizontal length away from the edge of the table, for a full overhang length of 2?  Each domino must be placed in the same orientation (don't rotate the dominoes or stand them on end.)

 

this can also be done with playing cards  :dry:


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#2 DeGe

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Posted 01 August 2013 - 10:49 AM

Spoiler for I think for 5 Dominoes

Edited by DeGe, 01 August 2013 - 10:59 AM.

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#3 DeGe

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Posted 01 August 2013 - 11:11 AM

Spoiler for First attempt 10 dominoes

Edited by DeGe, 01 August 2013 - 11:12 AM.

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#4 DeGe

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Posted 01 August 2013 - 11:28 AM

Spoiler for Better attempt with 10 dominoes

Edited by DeGe, 01 August 2013 - 11:31 AM.

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#5 TimeSpaceLightForce

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Posted 01 August 2013 - 06:54 PM

Spoiler for


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#6 gavinksong

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Posted 03 August 2013 - 07:47 AM

Spoiler for infinite overhang


Edited by gavinksong, 03 August 2013 - 07:55 AM.

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#7 gavinksong

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Posted 03 August 2013 - 08:02 AM   Best Answer

Let the length of a domino be 1.  On the edge of a table, a single domino can extend out a distance of 1/2 before being unbalanced.  A stack of two dominoes can extend out a distance of 3/4.  How large of an overhang can you create with 5? 10? N?  How many dominoes are needed before the top domino is one full horizontal length away from the edge of the table, for a full overhang length of 2?  Each domino must be placed in the same orientation (don't rotate the dominoes or stand them on end.)

 

this can also be done with playing cards  :dry:

Spoiler for answers

Edited by gavinksong, 03 August 2013 - 08:03 AM.

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#8 gavinksong

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Posted 03 August 2013 - 01:23 PM

Um. So this is embarrassing. There is a slight typo in my spoiler for infinite overhang.

 

Spoiler for typo


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#9 Perhaps check it again

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Posted 26 January 2014 - 04:53 AM

BMAD posted:

----------------------------------------------------------------------------------------------------------------------------------

"How many dominoes are needed before the TOP [my emphasis] domino is one full horizontal

length away from the edge of the table, for a full overhang length of 2?"

----------------------------------------------------------------------------------------------------------------------------------

 

The second diagram of post # 2, and the diagrams of post numbers 3 and 4 of DeGe do not count,

and the diagram of TimeSpaceLightForce in post # 6 also does not count, because none of those

scenarios involve the top domino being the domino that is doing the overhanging away from the

edge of the table.


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