S. I hope you can open the linkSolving the Pentagram Star Puzzle

  • Context: High School 
  • Thread starter Thread starter Phantomas
  • Start date Start date
  • Tags Tags
    Puzzle Star
Click For Summary
SUMMARY

The Pentagram Star Puzzle requires using two straight lines to divide a pentagram into ten distinct triangles without counting any area more than once. Participants confirmed that the lines can be placed in any orientation and do not need to cut through the entire figure. The challenge lies in creatively positioning the lines, as many found the task more complex than initially perceived. Ultimately, solutions were shared, demonstrating the puzzle's solvability.

PREREQUISITES
  • Understanding of geometric shapes and properties
  • Familiarity with basic principles of area and partitioning
  • Ability to visualize spatial arrangements
  • Experience with problem-solving strategies in geometry
NEXT STEPS
  • Explore advanced geometric partitioning techniques
  • Research combinatorial geometry and its applications
  • Practice similar puzzles involving geometric shapes and lines
  • Learn about visual-spatial reasoning exercises
USEFUL FOR

Mathematicians, educators, puzzle enthusiasts, and anyone interested in enhancing their problem-solving skills in geometry.

Phantomas
Messages
11
Reaction score
0
Here is a grafical problem.

You have to use two straight lines to cut up the pentagram star and you have to get 10 triangles.

The triangles must not be counted twice. Or to put it another way, the same area can only be used once.

http://poseidon.siol.net/samurai/racunalnistvo/media/star.gif[/URL] [/PLAIN]

P.
 
Last edited by a moderator:
Mathematics news on Phys.org
can i use the straight line any way i want to, does it have to cut across the whole figure?
 
Yes any way you want. And no it doesn't have to cut all the way through. Actualy you can make new triangle/s outside the star if you like.
 
Phantomas said:
Yes any way you want. And no it doesn't have to cut all the way through. Actualy you can make new triangle/s outside the star if you like.

It seems really very trivial, am I missing something?

https://www.physicsforums.com/attachment.php?attachmentid=1890
 
@gerben your attachment doesn't work for me.
 
Phantomas said:
@gerben your attachment doesn't work for me.

oh well, that is strange it does work for me, but anyway it is good that it does not work because i was wrong, what i was missing was probably my brain...
it is in fact rather difficult it seems even impossible to me now, do you know that there is a solution?
 
yes, there is a solution :smile:
 
[Edit]

I can see it now :smile:

Seems you did it. Congrats!

P.
 
Last edited:

Similar threads

  • · Replies 10 ·
Replies
10
Views
5K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
12
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 25 ·
Replies
25
Views
5K
Replies
15
Views
10K