Re: [algogeeks] Re: intel puzzle

2011-03-22 Thread Rajeev Kumar
http://math.ucsd.edu/~wgarner/personal/puzzles/cube_puzzle_sol.htm

On Tue, Mar 1, 2011 at 8:46 AM, Vinay Pandey babbupan...@gmail.com wrote:

 each pair of opposite faces can make 4 such triangles, so I think the
 answer is 12


 On Mon, Feb 28, 2011 at 5:47 AM, sourabh jakhar 
 sourabhjak...@gmail.comwrote:

 the answer would be more than 8 an it is 32 i think.
 but i m sure it will be more than 8


 On Wed, Feb 23, 2011 at 7:54 AM, Terence technic@gmail.com wrote:

  8C3 - 12 * 4C3 = 8
 Any 3 vertices out of a rectangle only form a right triangles.
 Then only 8 regular triangle left. (Cut out each of the 8 vertices)


 On 2011-2-23 3:10, jalaj jaiswal wrote:

 answer is 8 ,,, duno how

 On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:

 Is it not 8C3 = 56



 On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
  Think of the 8 vertices of a given cube. You are allowed to join three
  vertices to form a triangle. How many such unique acute triangles can
 you
  make ??
 
  --
  With Regards,
  *Jalaj Jaiswal* (+919019947895)
  Software developer, Cisco Systems
  B.Tech IIIT ALLAHABAD

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 B.Tech IIIT ALLAHABAD

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Thank You
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Re: [algogeeks] Re: intel puzzle

2011-03-01 Thread Vinay Pandey
each pair of opposite faces can make 4 such triangles, so I think the answer
is 12

On Mon, Feb 28, 2011 at 5:47 AM, sourabh jakhar sourabhjak...@gmail.comwrote:

 the answer would be more than 8 an it is 32 i think.
 but i m sure it will be more than 8


 On Wed, Feb 23, 2011 at 7:54 AM, Terence technic@gmail.com wrote:

  8C3 - 12 * 4C3 = 8
 Any 3 vertices out of a rectangle only form a right triangles.
 Then only 8 regular triangle left. (Cut out each of the 8 vertices)


 On 2011-2-23 3:10, jalaj jaiswal wrote:

 answer is 8 ,,, duno how

 On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:

 Is it not 8C3 = 56



 On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
  Think of the 8 vertices of a given cube. You are allowed to join three
  vertices to form a triangle. How many such unique acute triangles can
 you
  make ??
 
  --
  With Regards,
  *Jalaj Jaiswal* (+919019947895)
  Software developer, Cisco Systems
  B.Tech IIIT ALLAHABAD

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 --
 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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 --
 SOURABH JAKHAR,(CSE)(3 year)
 ROOM NO 167 ,
 TILAK,HOSTEL
 'MNNIT ALLAHABAD

 The Law of Win says, Let's not do it your way or my way; let's do it the
 best way.

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Re: [algogeeks] Re: intel puzzle

2011-02-28 Thread sourabh jakhar
the answer would be more than 8 an it is 32 i think.
but i m sure it will be more than 8

On Wed, Feb 23, 2011 at 7:54 AM, Terence technic@gmail.com wrote:

  8C3 - 12 * 4C3 = 8
 Any 3 vertices out of a rectangle only form a right triangles.
 Then only 8 regular triangle left. (Cut out each of the 8 vertices)


 On 2011-2-23 3:10, jalaj jaiswal wrote:

 answer is 8 ,,, duno how

 On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:

 Is it not 8C3 = 56



 On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
  Think of the 8 vertices of a given cube. You are allowed to join three
  vertices to form a triangle. How many such unique acute triangles can
 you
  make ??
 
  --
  With Regards,
  *Jalaj Jaiswal* (+919019947895)
  Software developer, Cisco Systems
  B.Tech IIIT ALLAHABAD

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 --
 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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-- 
SOURABH JAKHAR,(CSE)(3 year)
ROOM NO 167 ,
TILAK,HOSTEL
'MNNIT ALLAHABAD

The Law of Win says, Let's not do it your way or my way; let's do it the
best way.

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[algogeeks] Re: intel puzzle

2011-02-24 Thread awesomeandroid
The only way to get an acute triangle this way is to connect the
diagonals of three adjacent faces. You can select 3 adjacent faces of
a cube in (6*4*2)/(3*2*1) = 8 different ways.

Regards
Priyaranjan
http://code-forum.blogspot.com

On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
 answer is 8 ,,, duno how









 On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
  Is it not 8C3 = 56

  On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
   Think of the 8 vertices of a given cube. You are allowed to join three
   vertices to form a triangle. How many such unique acute triangles can you
   make ??

   --
   With Regards,
   *Jalaj Jaiswal* (+919019947895)
   Software developer, Cisco Systems
   B.Tech IIIT ALLAHABAD

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 With Regards,
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 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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Re: [algogeeks] Re: intel puzzle

2011-02-24 Thread Vikas Kumar
@priyaranjan
No,Your triangle will be right angle triangle.

In fact any triangle chosen will be right angle triangle.

Proof:

suppose there are 2 planes kept at parallel with each other.(top bottom)
join corresponding vertices of up to down and form  cube.

Now 3 points chosen can be on same plane .(means 2 must be adjacent)
so right angle triangle is only possible

or at least 2 points are on same plane and 3rd point is other plane(pigeon
hole as only 2 holes are there for 3 pegions)

Now as 3 rd point always lies on perpendicular point so triagle formed will
always be right angled.

On Thu, Feb 24, 2011 at 5:23 PM, awesomeandroid
priyaranjan@gmail.comwrote:

 The only way to get an acute triangle this way is to connect the
 diagonals of three adjacent faces. You can select 3 adjacent faces of
 a cube in (6*4*2)/(3*2*1) = 8 different ways.

 Regards
 Priyaranjan
 http://code-forum.blogspot.com

 On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
  answer is 8 ,,, duno how
 
 
 
 
 
 
 
 
 
  On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
   Is it not 8C3 = 56
 
   On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
Think of the 8 vertices of a given cube. You are allowed to join
 three
vertices to form a triangle. How many such unique acute triangles can
 you
make ??
 
--
With Regards,
*Jalaj Jaiswal* (+919019947895)
Software developer, Cisco Systems
B.Tech IIIT ALLAHABAD
 
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  Software developer, Cisco Systems
  B.Tech IIIT ALLAHABAD

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[algogeeks] Re: intel puzzle

2011-02-24 Thread Dave
@Priyaranjan: Suppose that the cube has side 1 and is placed in
standard position at the origin. Then the triangle with vertices
(0,0,0), (1,0,1), and (1,1,0) is equilateral with side sqrt(2), and
therefore is not a right triangle.

Dave

On Feb 24, 8:49 am, Vikas Kumar dev.vika...@gmail.com wrote:
 @priyaranjan
 No,Your triangle will be right angle triangle.

 In fact any triangle chosen will be right angle triangle.

 Proof:

 suppose there are 2 planes kept at parallel with each other.(top bottom)
 join corresponding vertices of up to down and form  cube.

 Now 3 points chosen can be on same plane .(means 2 must be adjacent)
 so right angle triangle is only possible

 or at least 2 points are on same plane and 3rd point is other plane(pigeon
 hole as only 2 holes are there for 3 pegions)

 Now as 3 rd point always lies on perpendicular point so triagle formed will
 always be right angled.

 On Thu, Feb 24, 2011 at 5:23 PM, awesomeandroid
 priyaranjan@gmail.comwrote:



  The only way to get an acute triangle this way is to connect the
  diagonals of three adjacent faces. You can select 3 adjacent faces of
  a cube in (6*4*2)/(3*2*1) = 8 different ways.

  Regards
  Priyaranjan
 http://code-forum.blogspot.com

  On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
   answer is 8 ,,, duno how

   On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
Is it not 8C3 = 56

On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
 Think of the 8 vertices of a given cube. You are allowed to join
  three
 vertices to form a triangle. How many such unique acute triangles can
  you
 make ??

 --
 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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   Software developer, Cisco Systems
   B.Tech IIIT ALLAHABAD

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[algogeeks] Re: intel puzzle

2011-02-24 Thread awesomeandroid
@dave i never said it will be a right angled triangle ,it will be a
equilateral triangle and thus an acute angled triangle.

On Feb 24, 8:38 pm, Dave dave_and_da...@juno.com wrote:
 @Priyaranjan: Suppose that the cube has side 1 and is placed in
 standard position at the origin. Then the triangle with vertices
 (0,0,0), (1,0,1), and (1,1,0) is equilateral with side sqrt(2), and
 therefore is not a right triangle.

 Dave

 On Feb 24, 8:49 am, Vikas Kumar dev.vika...@gmail.com wrote:







  @priyaranjan
  No,Your triangle will be right angle triangle.

  In fact any triangle chosen will be right angle triangle.

  Proof:

  suppose there are 2 planes kept at parallel with each other.(top bottom)
  join corresponding vertices of up to down and form  cube.

  Now 3 points chosen can be on same plane .(means 2 must be adjacent)
  so right angle triangle is only possible

  or at least 2 points are on same plane and 3rd point is other plane(pigeon
  hole as only 2 holes are there for 3 pegions)

  Now as 3 rd point always lies on perpendicular point so triagle formed will
  always be right angled.

  On Thu, Feb 24, 2011 at 5:23 PM, awesomeandroid
  priyaranjan@gmail.comwrote:

   The only way to get an acute triangle this way is to connect the
   diagonals of three adjacent faces. You can select 3 adjacent faces of
   a cube in (6*4*2)/(3*2*1) = 8 different ways.

   Regards
   Priyaranjan
  http://code-forum.blogspot.com

   On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
answer is 8 ,,, duno how

On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
 Is it not 8C3 = 56

 On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
  Think of the 8 vertices of a given cube. You are allowed to join
   three
  vertices to form a triangle. How many such unique acute triangles 
  can
   you
  make ??

  --
  With Regards,
  *Jalaj Jaiswal* (+919019947895)
  Software developer, Cisco Systems
  B.Tech IIIT ALLAHABAD

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Software developer, Cisco Systems
B.Tech IIIT ALLAHABAD

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[algogeeks] Re: intel puzzle

2011-02-24 Thread awesomeandroid
@vikash kumar please read my answer then give your comment..it will be
a equilateral triangle and not a right angled triangle i.e an acute
angled triangle.

On Feb 24, 7:49 pm, Vikas Kumar dev.vika...@gmail.com wrote:
 @priyaranjan
 No,Your triangle will be right angle triangle.

 In fact any triangle chosen will be right angle triangle.

 Proof:

 suppose there are 2 planes kept at parallel with each other.(top bottom)
 join corresponding vertices of up to down and form  cube.

 Now 3 points chosen can be on same plane .(means 2 must be adjacent)
 so right angle triangle is only possible

 or at least 2 points are on same plane and 3rd point is other plane(pigeon
 hole as only 2 holes are there for 3 pegions)

 Now as 3 rd point always lies on perpendicular point so triagle formed will
 always be right angled.

 On Thu, Feb 24, 2011 at 5:23 PM, awesomeandroid
 priyaranjan@gmail.comwrote:







  The only way to get an acute triangle this way is to connect the
  diagonals of three adjacent faces. You can select 3 adjacent faces of
  a cube in (6*4*2)/(3*2*1) = 8 different ways.

  Regards
  Priyaranjan
 http://code-forum.blogspot.com

  On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
   answer is 8 ,,, duno how

   On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
Is it not 8C3 = 56

On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
 Think of the 8 vertices of a given cube. You are allowed to join
  three
 vertices to form a triangle. How many such unique acute triangles can
  you
 make ??

 --
 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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   *Jalaj Jaiswal* (+919019947895)
   Software developer, Cisco Systems
   B.Tech IIIT ALLAHABAD

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[algogeeks] Re: intel puzzle

2011-02-24 Thread Dave
@Priyaranjan. Right. I should have directed my comment to Vikas.
Sorry.

Dave

On Feb 24, 9:35 pm, awesomeandroid priyaranjan@gmail.com wrote:
 @dave i never said it will be a right angled triangle ,it will be a
 equilateral triangle and thus an acute angled triangle.

 On Feb 24, 8:38 pm, Dave dave_and_da...@juno.com wrote:



  @Priyaranjan: Suppose that the cube has side 1 and is placed in
  standard position at the origin. Then the triangle with vertices
  (0,0,0), (1,0,1), and (1,1,0) is equilateral with side sqrt(2), and
  therefore is not a right triangle.

  Dave

  On Feb 24, 8:49 am, Vikas Kumar dev.vika...@gmail.com wrote:

   @priyaranjan
   No,Your triangle will be right angle triangle.

   In fact any triangle chosen will be right angle triangle.

   Proof:

   suppose there are 2 planes kept at parallel with each other.(top bottom)
   join corresponding vertices of up to down and form  cube.

   Now 3 points chosen can be on same plane .(means 2 must be adjacent)
   so right angle triangle is only possible

   or at least 2 points are on same plane and 3rd point is other plane(pigeon
   hole as only 2 holes are there for 3 pegions)

   Now as 3 rd point always lies on perpendicular point so triagle formed 
   will
   always be right angled.

   On Thu, Feb 24, 2011 at 5:23 PM, awesomeandroid
   priyaranjan@gmail.comwrote:

The only way to get an acute triangle this way is to connect the
diagonals of three adjacent faces. You can select 3 adjacent faces of
a cube in (6*4*2)/(3*2*1) = 8 different ways.

Regards
Priyaranjan
   http://code-forum.blogspot.com

On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
 answer is 8 ,,, duno how

 On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
  Is it not 8C3 = 56

  On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
   Think of the 8 vertices of a given cube. You are allowed to join
three
   vertices to form a triangle. How many such unique acute triangles 
   can
you
   make ??

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   *Jalaj Jaiswal* (+919019947895)
   Software developer, Cisco Systems
   B.Tech IIIT ALLAHABAD

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 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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[algogeeks] Re: intel puzzle

2011-02-24 Thread Dave
@Vikas: Suppose that the cube has side 1 and is placed in standard
position at the origin. Then the triangle with vertices (0,0,0),
(1,0,1), and (1,1,0) is equilateral with side sqrt(2), and therefore
is not a right triangle.

Dave

On Feb 24, 8:49 am, Vikas Kumar dev.vika...@gmail.com wrote:
 @priyaranjan
 No,Your triangle will be right angle triangle.

 In fact any triangle chosen will be right angle triangle.

 Proof:

 suppose there are 2 planes kept at parallel with each other.(top bottom)
 join corresponding vertices of up to down and form  cube.

 Now 3 points chosen can be on same plane .(means 2 must be adjacent)
 so right angle triangle is only possible

 or at least 2 points are on same plane and 3rd point is other plane(pigeon
 hole as only 2 holes are there for 3 pegions)

 Now as 3 rd point always lies on perpendicular point so triagle formed will
 always be right angled.

 On Thu, Feb 24, 2011 at 5:23 PM, awesomeandroid
 priyaranjan@gmail.comwrote:



  The only way to get an acute triangle this way is to connect the
  diagonals of three adjacent faces. You can select 3 adjacent faces of
  a cube in (6*4*2)/(3*2*1) = 8 different ways.

  Regards
  Priyaranjan
 http://code-forum.blogspot.com

  On Feb 23, 12:10 am, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
   answer is 8 ,,, duno how

   On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:
Is it not 8C3 = 56

On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
 Think of the 8 vertices of a given cube. You are allowed to join
  three
 vertices to form a triangle. How many such unique acute triangles can
  you
 make ??

 --
 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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   Software developer, Cisco Systems
   B.Tech IIIT ALLAHABAD

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[algogeeks] Re: intel puzzle

2011-02-22 Thread Sundi
Is it not 8C3 = 56



On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
 Think of the 8 vertices of a given cube. You are allowed to join three
 vertices to form a triangle. How many such unique acute triangles can you
 make ??

 --
 With Regards,
 *Jalaj Jaiswal* (+919019947895)
 Software developer, Cisco Systems
 B.Tech IIIT ALLAHABAD

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Re: [algogeeks] Re: intel puzzle

2011-02-22 Thread jalaj jaiswal
answer is 8 ,,, duno how

On Wed, Feb 23, 2011 at 12:31 AM, Sundi sundi...@gmail.com wrote:

 Is it not 8C3 = 56



 On Feb 22, 9:55 pm, jalaj jaiswal jalaj.jaiswa...@gmail.com wrote:
  Think of the 8 vertices of a given cube. You are allowed to join three
  vertices to form a triangle. How many such unique acute triangles can you
  make ??
 
  --
  With Regards,
  *Jalaj Jaiswal* (+919019947895)
  Software developer, Cisco Systems
  B.Tech IIIT ALLAHABAD

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-- 
With Regards,
*Jalaj Jaiswal* (+919019947895)
Software developer, Cisco Systems
B.Tech IIIT ALLAHABAD

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