sparr | Where can I find a list of polyhedra with information about how many faces and edges meet at each vertex? |

TRWBW | okay, a second set of rules. a>b <=> c*a>c*b if c>0. a>b <=> c*a<c*b if c<0. if c=0, then c*a=c*b=0 and it tells you nothing |

FatalError | Spark, wikipedia probably sparr even |

sparr | FatalError: the normal info is there, face/vertex/edge counts, but not what i need |

schmity | TRWBW: so i cant multiply by x+5 |

TRWBW | sparr: just to make it simple, every polygon has the same number of edges and faces meeting at a vertex schmity: you can. you just need keep track of the two cases, x+5<0 and x+5>0, and handle them separately |

sparr | TRWBW: polyhedra, not polygons |

TRWBW | sparr: yeah, polyhedron. |

sparr | TRWBW: and thats only true for regular polyhedra. im interested in all the other "common" non-regular polyhedra, like a soccer ball (Truncated icosahedron) for which it is ALSO true, so i guess thats a bad example :) |

schmity | TRWBW: so how do i solve it then? yeah sorry i know you already posted it but im stupid at this |

TRWBW | schmity: read the rules i gave you. there were two sets, 2 ways of doing it. you need at some point to break down the denominators into negative and positive and handle certain cases differently. |

schmity | ahhh so i need to do test intervals? |

TRWBW | schmity: in each case, and it depends on the two ways of doing it, you transform it into something else based on the sign. |

sparr | TRWBW: im interested in polyhedra where some vertices have 3 edges, some have 4, and/or some have 5 |

TRWBW | sparr: at this point i don't even know what you mean by polyhedra, but my suggesting is what FatalError said, start with wikipedia, maybe planetmath. maybe just search polyhedra. btw, i don't even know what definition of polyhedra you are using. might be good to start with something mathematically rigorous. |

sparr | TRWBW: erm... a solid constructed of polygonal faces. my conception is a lot more specific than that, i guess, since im only thinking of convex polyhedra with some sort of symmetry |

schmity | aright thanks dude thanks TRWBW |

TRWBW | np |

schmity | im still only getting 2 numbers but thanks |

TRWBW | sparr: good luck. |

sparr | TRWBW: consider a pentagonal prism 'capped' by two pentagonal pyramids. 5 square faces, 10 triangular faces. the vertices of the square faces each connect to 4 edges, while the vertices at the top (/bottom) of the pyramids connect to 5 edges. |

schmity | hey TRWBW im only getting x =-1 and x =-5 for test intervals |

TRWBW | schmity: no it's not test intervals, and anyways it shold be -5 and -3/2 |

schmity | how do you get -3/2 |

TRWBW | schmity: 2x+3=0 |

schmity | but you need to put that on the other side dont you? |

TRWBW | schmity: did i misremember your problem? |

schmity | idk im feeling retarded |

TRWBW | they aren't test intervals. they are intervals in which you can apply operations like multiplying by x+5 or doing 1/a < 1/b and get the right answer. |

schmity | TRWBW: is it right that i get (7x - 7)/(x+5) > 0 TRWBW: wtf are you talking about |

sparr | TRWBW: mathworld doesnt have such a list, plus their individual polyhedra pages have horrible flash animation s |