Revisions to Draw A Sierpinski Triangle

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edited Apr 13, 2017 at 12:39

1

etc. I've then used the oblique adverb on append ,/. to read the rows diagonally to straighten(ish) the triangle. I didn't need to do this, as randomra randomra points out. I could have just reversed |. the lot to get the same result. Even better, I could have just used (,,.~)^:6,'o' to save the reverse step completely.

etc. I've then used the oblique adverb on append ,/. to read the rows diagonally to straighten(ish) the triangle. I didn't need to do this, as randomra points out. I could have just reversed |. the lot to get the same result. Even better, I could have just used (,,.~)^:6,'o' to save the reverse step completely.

Added explanation

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edited Feb 27, 2013 at 12:19

Gareth

11.4k
1
36
85

A quick explanation:

The verb (,~,.~) is what's doing the work here. It's a hook which first stitches ,. the argument to itself (o -> oo) and then appends the original argument to the output:

oo

becomes

oo
o

This verb is repeated 6 times ^:6 with the output of each iteration becoming the input of the next iteration. So

oo
o

becomes

oooo
o o
oo
o

which in turn becomes

oooooooo
o o o o 
oo  oo
o   o
oooo
o o
oo
o

etc. I've then used the oblique adverb on append ,/. to read the rows diagonally to straighten(ish) the triangle. I didn't need to do this, as randomra points out. I could have just reversed |. the lot to get the same result. Even better, I could have just used (,,.~)^:6,'o' to save the reverse step completely.

Ah well, you live and learn. :-)

A quick explanation:

The verb (,~,.~) is what's doing the work here. It's a hook which first stitches ,. the argument to itself (o -> oo) and then appends the original argument to the output:

oo

becomes

oo
o

This verb is repeated 6 times ^:6 with the output of each iteration becoming the input of the next iteration. So

oo
o

becomes

oooo
o o
oo
o

which in turn becomes

oooooooo
o o o o 
oo  oo
o   o
oooo
o o
oo
o

etc. I've then used the oblique adverb on append ,/. to read the rows diagonally to straighten(ish) the triangle. I didn't need to do this, as randomra points out. I could have just reversed |. the lot to get the same result. Even better, I could have just used (,,.~)^:6,'o' to save the reverse step completely.

Ah well, you live and learn. :-)

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created Jun 9, 2012 at 23:24

Gareth

11.4k
1
36
85

J

,/.(,~,.~)^:6,'o'

Not ideal, since the triangle is lopsided and followed by a lot of whitespace - but interesting nonetheless I thought.

Output:

o                                                               
oo                                                              
o o                                                             
oooo                                                            
o   o                                                           
oo  oo                                                          
o o o o                                                         
oooooooo                                                        
o       o                                                       
oo      oo                                                      
o o     o o                                                     
oooo    oooo                                                    
o   o   o   o                                                   
oo  oo  oo  oo                                                  
o o o o o o o o                                                 
oooooooooooooooo                                                
o               o                                               
oo              oo                                              
o o             o o                                             
oooo            oooo                                            
o   o           o   o                                           
oo  oo          oo  oo                                          
o o o o         o o o o                                         
oooooooo        oooooooo                                        
o       o       o       o                                       
oo      oo      oo      oo                                      
o o     o o     o o     o o                                     
oooo    oooo    oooo    oooo                                    
o   o   o   o   o   o   o   o                                   
oo  oo  oo  oo  oo  oo  oo  oo                                  
o o o o o o o o o o o o o o o o                                 
oooooooooooooooooooooooooooooooo                                
o                               o                               
oo                              oo                              
o o                             o o                             
oooo                            oooo                            
o   o                           o   o                           
oo  oo                          oo  oo                          
o o o o                         o o o o                         
oooooooo                        oooooooo                        
o       o                       o       o                       
oo      oo                      oo      oo                      
o o     o o                     o o     o o                     
oooo    oooo                    oooo    oooo                    
o   o   o   o                   o   o   o   o                   
oo  oo  oo  oo                  oo  oo  oo  oo                  
o o o o o o o o                 o o o o o o o o                 
oooooooooooooooo                oooooooooooooooo                
o               o               o               o               
oo              oo              oo              oo              
o o             o o             o o             o o             
oooo            oooo            oooo            oooo            
o   o           o   o           o   o           o   o           
oo  oo          oo  oo          oo  oo          oo  oo          
o o o o         o o o o         o o o o         o o o o         
oooooooo        oooooooo        oooooooo        oooooooo        
o       o       o       o       o       o       o       o       
oo      oo      oo      oo      oo      oo      oo      oo      
o o     o o     o o     o o     o o     o o     o o     o o     
oooo    oooo    oooo    oooo    oooo    oooo    oooo    oooo    
o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   o   
oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  oo  
o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o o 
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

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