Tuesday, December 22, 2009

Fox 217

Have beautiful days with your families
and the loved ones!
See you guys next year!
Yourself should show mercy on yourself.
Break your daily routine,
Do something out of the box.
While enjoying the time...

Fox 220

Fox 54

Fox 219

Fox 218

Fox 210

Saturday, December 19, 2009

Fox 214

Ajit Athle submitted this problem, as it neatly fits in our series on Equilateral Triangles. He said:
"Here's a simple problem to go in your current series on ET's. In equilateral triangle ABC, we've cevians BD (D on AC) & CE (E on AB) such that 2*BE = AE & 2*AD = DC. If CE & BD intersect in P, then prove, w/o using trigonometry or co-ordinate geometry, that AP is perpendicular to CE."
Thank you Ajit!

Fox 208 - Solution 2

These ones are classified as "Drawing lines in the sand".
Beautiful geometric solution to Fox 208 by Pataki.
Won't be surprised if there are others!!!

Fox 208 - Solution 1

This one is classified as "Drawing lines in the sand".
A beautiful geometric solution to Fox 208 by Pataki.
Will post another one later.

Wednesday, December 16, 2009

Fox 211

Fox 209

Where you stand defines who you are,
and emits traces of you to the sky.
Look at the brilliant stars in the night.
No! They aint no stars shining!
It is your eyes that declare the meaning of light.
Without your vision, all stars are dark.

There are things you ain't gonna erase...
Don't matter... even if you try hard...
Things that connect you to the farthest ends of the universe
Things that make you who you are.
A universe with a beating heart!
-- Dervish Fox

Tuesday, December 15, 2009

Fox 208

This is a classic. You can find similar versions in several books.
Again should be solvable with no math, maybe with a little art - I guess.

Thursday, December 10, 2009

Fox 206

We have some work on this, but not the final solution.
Please post your result here if you can find one.

Tuesday, December 1, 2009

Fox 200

A little more involved than its parents. But it still has a story to tell. Options are updated!
The answer STILL has not been confirmed yet.

Sunday, November 29, 2009

Fox 198

This is the beginning of a class of foxes with random processes.
The above process is a special form of a random walk on the plane.
We believe that this process is new! If you see something similar in literature, please let us know.
"Uniformly selected" means that every direction has an equal chance of being selected.
In other words: direction ~
Uniform[0, 360].
Point O is the origin. Generation of point A is irrelevant since OA does not change whether there will be a triangle or not at the end of the process.
Also, it is not important but assume that the random directions are generated clock wise.
The answer has not been confirmed yet, let us know if you find something very different.

Saturday, November 28, 2009

Fox 196

The problem has been modified for the answer was not precise.
Let us know if you see a problem.

Tuesday, November 17, 2009

Monday, November 16, 2009

Fox 82

Forget the numbers,
see the essense.
Skip the flesh,
find the soul!

Fox 186

Submitted by: http://geometri-problemleri.blogspot.com
You can find a more generalized version here in Newzad's blog.

Fox 81

Go beyond your numerical mind.
Think simple!
Forget about trigonometry.
Just drawn lines on the sand, like Euclid!

Sunday, November 15, 2009

Fox 141

Look carefully!
You'll find the same seal
on the earth and in the heavens!
--- Dervish Fox