PARA SINGS 03Lady Para (ax ^{2} + bx + c) presents...."Edges are Glorious" (*aka "Edge of Glory", Lady Gaga) -------- Music Reference: YouTube Here There's lots of math out there which gets you out of scrapes Insight? Yeah, maybe. (Insight? Yeah, maybe...) We'll use some so we can classify all the shapes in sight. With straight lines a 2-D figure we can enclose Insight? Yeah, maybe. (Insight? Yeah, maybe...) Mark every vertex then you know what lies between those, right? You've got a polygon, and the connection's strong I'm gonna tell you how, how we do it now To find it's name will consist of: Count every edge, that you see, like a triangle should have only three Yes, every edge, that you see, then a quadrilateral you'll foresee Counting the edge, the edge, the edge, the edge, the edge, the edge; that's six! Count every edge, that you see; then you'll know a hexagon was with me... Count every edge you see! Now go 3-D, where edges mean faces we've got Insight? Yeah, maybe. (Insight? Yeah, maybe...) We've got a solid, but a riot we will not incite. (All right, all right...) To find the faces, Euler's formula we'll fit Insight? Yeah, maybe. (Insight? Yeah, maybe.) A vertex count is needed so you can't do it outright. (All right, all right...) The number two you'll seize, subtract those vertices I'm gonna tell you how, how we do it now To find the faces consists of: Add in each edge, that you see, and the answer's what the faces must be Yes add each edge, that you see, don't miss any when you are in 3-D Counting the edge, the edge, the edge, the edge, the edge, the edge; that's six! Add in each edge, that you see; V as 4 means face count's one more than three... Add every edge you see! [Solo saxophone] Count every edge you see... Add every edge you see... Count every edge, that you see, like a triangle should have only three Or add each edge, that you see, don't miss any when you are in 3-D Counting the edge, the edge, the edge, the edge, the edge, the edge; that's six! Count every edge, that you see; tetrahedron is the solid for me, Count every edge you see (you see, you see, you see, you see...) Count every edge you see (you see, you see, you see, you see...) Count every edge you see (you see, you see, you see, you see...) Count every edge you see (you see, you see, you see, you see...) |

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