## Monday, November 30, 2009

### Fox 197

Labels:
Gorilla-BAS,
Gravity,
Motion on earth,
Parabola,
proof

Reactions: |

## 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.

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.

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.

Labels:
Probability,
Random walk,
Triangle,
Uniform Distribution

Reactions: |

## Saturday, November 28, 2009

### Fox 196

Let us know if you see a problem.

Labels:
circle,
equilateral triangle,
Tangent,
Trigonometry,
Uniqueness

Reactions: |

## Friday, November 27, 2009

### Fox 195

Labels:
3 parallel lines,
Minimum area,
Optimization,
Trapezoid

Reactions: |

## Thursday, November 26, 2009

### Fox 60

Labels:
circle,
equilateral triangle,
Trigonometry,
Uniqueness

Reactions: |

## Wednesday, November 25, 2009

### Fox 194

Labels:
Optimization,
right triangle,
semi-circle,
Trigonometry

Reactions: |

## Tuesday, November 24, 2009

### Fox 193

Labels:
Gorilla-BAS,
Gravity,
Motion on earth,
Optimization,
Parabola

Reactions: |

### Fox 192

Labels:
3 parallel lines,
Area,
Optimization,
right triangle

Reactions: |

## Monday, November 23, 2009

## Sunday, November 22, 2009

### Fox 190

Labels:
3 parallel lines,
right triangle,
Trigonometry

Reactions: |

## Saturday, November 21, 2009

### Fox 189

Labels:
3 parallel lines,
Optimization,
right triangle,
Trigonometry

Reactions: |

## Friday, November 20, 2009

### Fox 7

Labels:
3 parallel lines,
Optimization,
Right Angle,
Trigonometry

Reactions: |

## Thursday, November 19, 2009

### Fox 188

Labels:
Analytic Geometry,
Gravity,
Motion on earth,
Parabola,
Range

Reactions: |

## Wednesday, November 18, 2009

### Fox 187

Labels:
Gravity,
Motion on earth,
Optimization,
Parabola,
Range

Reactions: |

## Tuesday, November 17, 2009

## Monday, November 16, 2009

### Fox 82

Labels:
Area,
draw lines in the sand,
Quadrilateral,
Triangle

Reactions: |

### Fox 186

Labels:
Area,
Optimization,
Rectangle,
Rotation

Reactions: |

### Fox 81

Forget about trigonometry.

Just drawn lines on the sand, like Euclid!

Labels:
Area,
draw lines in the sand,
simplicity,
Triangle

Reactions: |

## Sunday, November 15, 2009

### Fox 141

Labels:
Golden Ratio,
Infinite series,
Quarter Circle,
Rectangle

Reactions: |

## Saturday, November 14, 2009

### Fox 155

Labels:
areas,
Square inside a square,
Triangle

Reactions: |

## Friday, November 13, 2009

### Fox 183

Labels:
3 concentric circles,
Cosine Rule,
semi-circle,
Tangent

Reactions: |

## Thursday, November 12, 2009

### Fox 185

Red Fox: Hey Polar, check this out; a unique configuration of a circle and a square! Ain't it beautiful?

Polar Fox: Not bad! What'd you have to say about it?

Red Fox: Here I say all fractions are reachable by adding simple tangents and other similar connections.

Polar Fox: Hmmm! Is that not a too strong statement?

Red Fox: Well, imagine drawing new tangents and line segments between existing intersection points.

If you keep on doing that, soon those intersection points will numerically-explode. And you can compute any fraction similar to the answer.

Polar Fox: OK. There are infinitely-many integers but NONE satisfies: a-cube plus b-cube equals to c-cube. Do you have one such a, b, c?

Red Fox: I know Fermat says NO. And I see your point. But this is not the same thing. You can probably span the whole plane like this.

Polar Fox: Fine, give me an 11/19 then.

Red Fox: I got to work on that.

Polar Fox: Not bad! What'd you have to say about it?

Red Fox: Here I say all fractions are reachable by adding simple tangents and other similar connections.

Polar Fox: Hmmm! Is that not a too strong statement?

Red Fox: Well, imagine drawing new tangents and line segments between existing intersection points.

If you keep on doing that, soon those intersection points will numerically-explode. And you can compute any fraction similar to the answer.

Polar Fox: OK. There are infinitely-many integers but NONE satisfies: a-cube plus b-cube equals to c-cube. Do you have one such a, b, c?

Red Fox: I know Fermat says NO. And I see your point. But this is not the same thing. You can probably span the whole plane like this.

Polar Fox: Fine, give me an 11/19 then.

Red Fox: I got to work on that.

Labels:
circle,
Square,
Trigonometry,
Uniqueness

Reactions: |

## Wednesday, November 11, 2009

### Fox 184

Labels:
circle,
Square,
Trigonometry,
Uniqueness

Reactions: |

## Tuesday, November 10, 2009

### Fox 182

Does the above have any "haiku" value?

Probably not much :)

Probably not much :)

Labels:
circle,
Haiku,
Square,
Trigonometry,
Uniqueness

Reactions: |

## Monday, November 9, 2009

### Fox 181

Labels:
3 concentric circles,
Cosine Rule,
semi-circle,
Tangent

Reactions: |

### Fox 180

Labels:
British Flag Theorem,
Concentric Circles,
Rectangle

Reactions: |

### Fox 59

Labels:
circle,
Square,
Trigonometry,
Uniqueness

Reactions: |

## Sunday, November 8, 2009

### Fox 179

Labels:
Aint gonna happen,
British Flag Theorem,
Capitalism sucks,
Circle inside Square,
Concentric Circles,
proof

Reactions: |

## Saturday, November 7, 2009

### Fox 177

Even though material interests may drive the human behavior,

there are still worldly images and unworldly lyrics inspring novelty,

reminding them to do good.

How can you draw righteousness on a board?

Does it really matter if charity is concave or convex?

Labels:
areas,
Communism aint no better,
proof,
Quarter Circle,
similarity of triangles,
Tangent,
Trigonometry

Reactions: |

## Friday, November 6, 2009

### Fox 178

Polar Fox: Dude, did you get any permission to use a trademark?

Red Fox: What permission? This is a public service we are engaged in.

Polar Fox: Oh really? Still I say that logo has an owner. It says in its corner, see.

Red Fox: Go ahead; let those capitalist scumbags know about it.

Polar Fox: Oh come on Red, stop acting like a mild Chávesian socialist. You spent all your time in youtube and facebook.

Red Fox: Yeah, I am extending my base in the internet for a revolution.

Polar Fox: Yeah, sure. The only thing I see revolving is your chubby belly.

Red Fox: What permission? This is a public service we are engaged in.

Polar Fox: Oh really? Still I say that logo has an owner. It says in its corner, see.

Red Fox: Go ahead; let those capitalist scumbags know about it.

Polar Fox: Oh come on Red, stop acting like a mild Chávesian socialist. You spent all your time in youtube and facebook.

Red Fox: Yeah, I am extending my base in the internet for a revolution.

Polar Fox: Yeah, sure. The only thing I see revolving is your chubby belly.

Reactions: |

## Thursday, November 5, 2009

### Fox 175

Labels:
areas,
Quadratics,
Quarter Circle,
Rectangle,
Tangent

Reactions: |

## Wednesday, November 4, 2009

### Fox 174

Labels:
Area,
Quarter Circle,
Rectangle,
Tangent,
Trigonometry

Reactions: |

## Tuesday, November 3, 2009

### Fox 176

Labels:
areas,
Quarter Circle,
similarity of triangles,
Trigonometry

Reactions: |

## Sunday, November 1, 2009

### Fox 173

Labels:
Area,
Quarter Circle,
right triangle,
Trigonometry

Reactions: |

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