Fox 357

Long time no see!!!

HELLO WORLD!!!

Hope everybody is doing alright.

Yeah, sure love each other, especially those who really need to be loved!

Let me now take another long break :)

Fox 306 - Solution

To see the animation below, you will need any of the following browsers:
Chrome, Firefox, Opera, Safari, or IE Explorer 9.0.

Bleaug converts Fox 306 to Fox 302 by "folding" twice. I have seen translation, rotation, similarity, etc., but haven't seen anything like this before. Enjoy and please do respect to human intelligence!

Fox 306

Answer is not confirmed yet.

http://www.8foxes.com/

Fox 302

http://www.8foxes.com/

Fox 182 - Solution

Here are two solutions to Fox 182 by Giannno.

Analytic Geometry:

Pythagoras and quadratics:

http://www.8foxes.com/

Fox 299

http://www.8foxes.com/

Fox 292

http://www.8foxes.com/

Fox 281 - Solution

This solution to 281 was submitted by Bob Ryden. It illustrates Joe's solution as well.

http://www.8foxes.com/

Fox 71

http://www.8foxes.com/

Fox 261 - Solutions

Four good solutions for Fox 261, all drawing lines in the sand...

http://www.8foxes.com/

Fox 261

The claim below makes some information in Fox 252 redundant.

http://www.8foxes.com/

This is an intriguing construction! We can easily post half a dozen more good foxes. Keep ckeckin' !!
Also there are at least 3 purely-geometric solutions...

Fox 251 Solution-1

http://www.8foxes.com/

Here is Fox 251.

Fox 252 - Solution-2

http://www.8foxes.com/

See Fox 252

Fox 252 - Solution-1

http://www.8foxes.com/
See Fox 252

Fox 251

http://www.8foxes.com/

Fox 252

http://www.8foxes.com/

All along the wall, between us

I see a teacher, there for us

I look at the wall, I see right through it

I lean on the wall, there for us

Fox 249

http://www.8foxes.com/

Fox 247

http://www.8foxes.com/

Fox 243 - Solution

http://www.8foxes.com/

Bleaug claims the following:

Almost a pure geometric proof this time (only requires Pythagorean theorem).

- TIJ is the section of the pyramid by a plane orthogonal to base and parallel to BC and AD

- by construction, TI is orthogonal to AB, and TJ to CD

- hence: AT^2-BT^2 = AI^2+IT^2-BI^2-IT^2 = AI^2-BI^2, similarly DT^2-CT^2 = DJ^2-CJ^2

- since AIB is a translation of DJC: AT^2-BT^2 = DT^2-CT^2

- from which we get DT^2 = AT^2-BT^2+CT^2 = 9-2+1 = 8

Fox 244

http://www.8foxes.com/

Look into thy heart, and see,

it desireth to fly in Heavens,

whilst there are knots pulling thee

to cruelly darketh corners!
--- Dervish Fox