Geometry Question

Geometry Question

Posers and Puzzles

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h

at the centre

Joined
19 Jun 04
Moves
3257
06 Oct 07
1 edit

Originally posted by GinoJ
Imppressive!

Yes, the answer is 180/7 degrees.
How? It is yet to be proved analytically how the vertex angle A is equal to (pie)/7 radians i.e. 180/7 degrees.

l

Joined
14 Dec 05
Moves
5694
06 Oct 07

Originally posted by howzzat
How? It is yet to be proved analytically how the vertex angle A is equal to (pie)/7 radians i.e. 180/7 degrees.
The solution given by DeepThought way back in March was good enough, but this pi/7 answer is intriguing, if it was found independantly.

rs

H. T. & E. hte

Joined
21 May 04
Moves
3510
06 Oct 07
2 edits

The value of A (180/7 degrees), as claimed , has not been worked out analytically. The solution given by Deep Thought is a numerical solution. If the answer is exactly 180/7 degrees, it stands to reason that it can be proved so analytically. Numerical solution can give approximation to 180/7 degrees up to 30 or 40 decimal places or more but that is not an exact solution.

l

Joined
14 Dec 05
Moves
5694
06 Oct 07

Originally posted by ranjan sinha
The value of A (180/7 degrees), as claimed , has not been worked out analytically. The solution given by Deep Thought is a numerical solution. If the answer is exactly 180/7 degrees, it stands to reason that it can be proved so analytically. Numerical solution can give approximation to 180/7 degrees up to 30 or 40 decimal places or more but that is not an exact solution.
Yes! If only Gino had explained how he arrived at that value, this would not be raising it's ugly head again now.

s

Joined
25 Jul 04
Moves
3205
07 Oct 07
1 edit

A solution has been given at
http://sarathian.livejournal.com
This solution does not involve solving cubic equations.

l

Joined
14 Dec 05
Moves
5694
08 Oct 07

Originally posted by sarathian
A solution has been given at
http://sarathian.livejournal.com
This solution does not involve solving cubic equations.
That should finally settle it. Well done.

rs

H. T. & E. hte

Joined
21 May 04
Moves
3510
11 Oct 07

Originally posted by sarathian
A solution has been given at
http://sarathian.livejournal.com
This solution does not involve solving cubic equations.
yeah...that's deceptively simple.