Challenge : making only 5 points from a single square
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Challenge : making only 5 points from a single square
I was folding a piece of paper when I thought - is it possible to only have 5 points from a single square?
This becomes very difficult if you include all internal points and class a point as anything from 1-179 degrees.
Ive managed to make 5 points from a rectangle.
Maybe I'm completely missing something.
Has anyone done this?
This becomes very difficult if you include all internal points and class a point as anything from 1-179 degrees.
Ive managed to make 5 points from a rectangle.
Maybe I'm completely missing something.
Has anyone done this?
Yes, Mark is right. The waterbomb base is the one that popped up in my head too.
saj
saj
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- mleonard
- Junior Member
- Posts: 93
- Joined: April 20th, 2004, 10:31 pm
- Location: Durham, England
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Well, your definition of "point" seems a trifle idiosyncratic. Take this example: fold a square in half from side to side. Now how many points does it have?
Considered as a traditional origami base, it has no points at all. By your definition, however, it has six.
But even with this definition it is still fairly easy to create 5 points from a square: fold in half along the diagonal, and then in half again. Voila: 5 points (one of which is hidden inside another one).
Considered as a traditional origami base, it has no points at all. By your definition, however, it has six.
But even with this definition it is still fairly easy to create 5 points from a square: fold in half along the diagonal, and then in half again. Voila: 5 points (one of which is hidden inside another one).
Unfortunately not
just tried it
you make a 5 sided shape which has 5 points and then there is the point that was folded in (the original corner of the square)
I think the challenge might be impossible as to make 1 extra point from a square means that other points will be created.
SO using my definition of a point I believe the challenge is impossible.
just tried it
you make a 5 sided shape which has 5 points and then there is the point that was folded in (the original corner of the square)
I think the challenge might be impossible as to make 1 extra point from a square means that other points will be created.
SO using my definition of a point I believe the challenge is impossible.
- JMcK
- Super Member
- Posts: 133
- Joined: May 16th, 2003, 7:57 pm
- Location: Belfast, Northern Ireland
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I musn't have explained this very well - the method I describe produces a 4 sided shape with 4 points and a point (a corner) that is folded in.T wrote:Unfortunately not
just tried it
you make a 5 sided shape which has 5 points and then there is the point that was folded in (the original corner of the square)
I think the challenge might be impossible as to make 1 extra point from a square means that other points will be created.
SO using my definition of a point I believe the challenge is impossible.
I could describe the shape another way by saying that it looks like a kite base that has had one of its flaps unfolded.
And yes, Mark's method works too.
- mleonard
- Junior Member
- Posts: 93
- Joined: April 20th, 2004, 10:31 pm
- Location: Durham, England
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Sorry, I should have realised that my instructions were ambiguous - I meant in half along the diagonal, and then in half again along the other diagonal. This gives a right angled triangle which is one quarter of the area of the original square. The points were correctly described by T:
T just made a slight error in saying that 1+3+1=6, before correcting himself.there is a 90 degree flap at the bottom.
3 on the outside
and 1 hidden