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What is the most triangles you can make from a capital “H” and 3 straight lines?

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5

$begingroup$

So start with an upper case H and then draw 3 straight lines. What is the most closed triangles that you can form? Example:

Note that triangles inside of triangles only count once (e.g. 5 & 6 in the image don't count):

And you aren't allow to extend the cross line of the H (e.g. 5 in the image doesn't count)

mathematics geometry triangle

share|improve this question

asked 7 hours ago

CurtisCurtis

263

$endgroup$

add a comment | 

5

$begingroup$

So start with an upper case H and then draw 3 straight lines. What is the most closed triangles that you can form? Example:

Note that triangles inside of triangles only count once (e.g. 5 & 6 in the image don't count):

And you aren't allow to extend the cross line of the H (e.g. 5 in the image doesn't count)

mathematics geometry triangle

share|improve this question

asked 7 hours ago

CurtisCurtis

263

$endgroup$

add a comment | 

$begingroup$

So start with an upper case H and then draw 3 straight lines. What is the most closed triangles that you can form? Example:

Note that triangles inside of triangles only count once (e.g. 5 & 6 in the image don't count):

And you aren't allow to extend the cross line of the H (e.g. 5 in the image doesn't count)

mathematics geometry triangle

share|improve this question

asked 7 hours ago

CurtisCurtis

263

$endgroup$

share|improve this question

asked 7 hours ago

CurtisCurtis

263

share|improve this question

asked 7 hours ago

CurtisCurtis

263

asked 7 hours ago

CurtisCurtis

263

asked 7 hours ago

CurtisCurtis

263

2 Answers
2

active

oldest

votes

3

$begingroup$

Here's one with six triangles (7 if you count triangles outside of triangles, which you don't):

share|improve this answer

answered 7 hours ago

Brandon_JBrandon_J

1,877230

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  I suspect that this is the highest that can be gotten, but I'm not sure.
  $endgroup$
  – Brandon_J
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  My friend alleges that he can get 7, but won't show me how. Considering writing a python script to help prove that 6 is the max. Also I feel like there may be a mathematical proof of this with analytical geometry
  $endgroup$
  – Curtis
  3 hours ago
  

  
  
  
  

add a comment | 

3

$begingroup$

Here's a 7:

_{^{(body must be at least 30 characters, you entered 11.)}}

share|improve this answer

answered 13 mins ago

BassBass

30.1k472185

$endgroup$

add a comment | 

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3

$begingroup$

Here's one with six triangles (7 if you count triangles outside of triangles, which you don't):

share|improve this answer

answered 7 hours ago

Brandon_JBrandon_J

1,877230

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  I suspect that this is the highest that can be gotten, but I'm not sure.
  $endgroup$
  – Brandon_J
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  My friend alleges that he can get 7, but won't show me how. Considering writing a python script to help prove that 6 is the max. Also I feel like there may be a mathematical proof of this with analytical geometry
  $endgroup$
  – Curtis
  3 hours ago
  

  
  
  
  

add a comment | 

3

$begingroup$

Here's one with six triangles (7 if you count triangles outside of triangles, which you don't):

share|improve this answer

answered 7 hours ago

Brandon_JBrandon_J

1,877230

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  I suspect that this is the highest that can be gotten, but I'm not sure.
  $endgroup$
  – Brandon_J
  7 hours ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  My friend alleges that he can get 7, but won't show me how. Considering writing a python script to help prove that 6 is the max. Also I feel like there may be a mathematical proof of this with analytical geometry
  $endgroup$
  – Curtis
  3 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

Here's one with six triangles (7 if you count triangles outside of triangles, which you don't):

share|improve this answer

answered 7 hours ago

Brandon_JBrandon_J

1,877230

$endgroup$

share|improve this answer

answered 7 hours ago

Brandon_JBrandon_J

1,877230

answered 7 hours ago

Brandon_JBrandon_J

1,877230

answered 7 hours ago

Brandon_JBrandon_J

1,877230

3

$begingroup$

Here's a 7:

_{^{(body must be at least 30 characters, you entered 11.)}}

share|improve this answer

answered 13 mins ago

BassBass

30.1k472185

$endgroup$

add a comment | 

3

$begingroup$

Here's a 7:

_{^{(body must be at least 30 characters, you entered 11.)}}

share|improve this answer

answered 13 mins ago

BassBass

30.1k472185

$endgroup$

add a comment | 

$begingroup$

Here's a 7:

_{^{(body must be at least 30 characters, you entered 11.)}}

share|improve this answer

answered 13 mins ago

BassBass

30.1k472185

$endgroup$

share|improve this answer

answered 13 mins ago

BassBass

30.1k472185

answered 13 mins ago

BassBass

30.1k472185

answered 13 mins ago

BassBass

30.1k472185