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

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Discussion Overview

The discussion revolves around a graphical puzzle involving a pentagram star, where participants explore how to use two straight lines to create ten distinct triangles without counting any area more than once. The conversation includes clarifications about the rules of the puzzle and participants' attempts to solve it.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant presents the puzzle and its requirements, emphasizing the need to create ten triangles using two lines.
  • Another participant inquires whether the lines can be used flexibly and if they must cut through the entire figure.
  • A participant confirms that the lines can be used in any manner and that new triangles can be formed outside the star.
  • There is a sense of confusion expressed by a participant who initially finds the puzzle trivial but later admits to finding it difficult.
  • One participant acknowledges the existence of a solution, while another shares their realization of how to solve the puzzle.

Areas of Agreement / Disagreement

Participants express varying levels of confidence in their understanding of the puzzle, with some finding it challenging and others claiming to have found a solution. There is no clear consensus on the ease or difficulty of the puzzle.

Contextual Notes

Some participants express uncertainty about the puzzle's requirements and the validity of their approaches, indicating that assumptions about the rules may vary.

Phantomas
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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:
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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:

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