+111 There should be a mathematical shape called the squircle- a cross between a square and circle. amirite?

by Anonymous 14 years ago

no... It sounds too much like a squirrel and people are already intimidated enough by math

by Anonymous 14 years ago

Too true!

by Anonymous 14 years ago

that sounds really awesome except for the fact that it means we would have to add a shape to our geometry unit. . . that would suck

by Anonymous 14 years ago

it would also bring a whole bunch of theorems and postulates with it and thats no fun

by Anonymous 14 years ago

a circle has not lines, a square has no curves. a "squircle" would either be a semicirlce attached to a rectangle, which already exists, or an impossibility akin to dividing by 0

by Anonymous 14 years ago

You are a mathematical demigod.

by Anonymous 14 years ago

Apollonius of Perga showed that a circle may also be defined as the set of points in a plane having a constant ratio (other than 1) of distances to two fixed foci, A and B. (The set of points where the distances are equal is the perpendicular bisector of A and B, a line.) That circle is sometimes said to be drawn about two points[3]. The proof is as follows. A line segment PC bisects the interior angle APB, since the segments are similar: Analogously, a line segment PD bisects the corresponding exterior angle. Since the interior and exterior angles sum to , the angle CPD is exactly , i.e., a right angle. The set of points P that form a right angle with a given line segment CD form a circle, of which CD is the diameter.

by Anonymous 14 years ago

exactly and i agree with that ben guy XD he sounds smart. i like him. haha

by Anonymous 14 years ago

He's wrong A closely related property of circles involves the geometry of the cross-ratio of points in the complex plane. If A, B, and C are as above, then the Apollonius circle for these three points is the collection of points P for which the absolute value of the cross-ratio is equal to one: Stated another way, P is a point on the Apollonius circle if and only if the cross-ratio [A,B;C,P] is on the unit circle in the complex plane.

by Anonymous 14 years ago

haha sorry all i read was he's wrong and i got too lazy to finish

by Anonymous 14 years ago

You COULD call an googlegon a "squircle" of that definition: It looks like a circle but is made up of strait lines.

by Anonymous 14 years ago

You mean a googolgon?

by Anonymous 14 years ago

@111962: Exactly.

by Anonymous 14 years ago

Isn't that just a D?

by Anonymous 14 years ago

dangit, where's the thumbs up button?? XD

by Anonymous 14 years ago

there already is...

by Anonymous 14 years ago