Aah, good ol' tetrahedron. Simple, reliable, stuffed to the gums with nice geometrical properties... and still the #1 among Plato's solids, after all these centuries! (^_^)
I'm far less impressed by that common-looking parallelepiped next to it. Looks utterly devoid of interest to the discerning mind. ;-)
Perhaps Pascal means Rectangular Parallelepiped which refers to a shape in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.[1]
"All my pencils are yellow.""Perhaps Pascal means Rectangular Parallelepiped" Oh, it was a rectangular one? Hadn't graced it with enough of my valuable attention to notice. ;-)
But truth be said, I've always liked that name: "Regular hexahedron" sounds way cooler to say than plain "a cube". "Go on, manually propel the binarily-adorned regular hexahedrons and try to exit incarceration by attaining a paired result". (Translation for non-geeks: "Try to roll a double with the dice so you can get out of jail for free.") (^_^)
Aah, good ol' tetrahedron. Simple, reliable, stuffed to the gums with nice geometrical properties... and still the #1 among Plato's solids, after all these centuries! (^_^)
ReplyDeleteI'm far less impressed by that common-looking parallelepiped next to it. Looks utterly devoid of interest to the discerning mind. ;-)
I don't think it would work here. All my pencils are yellow.
ReplyDeletePerhaps Pascal means Rectangular Parallelepiped which refers to a shape in which each of the faces is a rectangle (and so each pair of adjacent faces meets in a right angle); this more restrictive type of cuboid is also known as a right cuboid, rectangular box, rectangular hexahedron, right rectangular prism, or rectangular parallelepiped.[1]
ReplyDeleteLeave it to Steve to make a femal one ;-)
1. Dupuis, Nathan Fellowes (1893), Elements of Synthetic Solid Geometry, Macmillan, p. 53.
That doesn't look all that simple to me.
ReplyDelete10 parts? One or two should be enough.
"All my pencils are yellow.""Perhaps Pascal means Rectangular Parallelepiped"
ReplyDeleteOh, it was a rectangular one? Hadn't graced it with enough of my valuable attention to notice. ;-)
But truth be said, I've always liked that name: "Regular hexahedron" sounds way cooler to say than plain "a cube".
"Go on, manually propel the binarily-adorned regular hexahedrons and try to exit incarceration by attaining a paired result".
(Translation for non-geeks: "Try to roll a double with the dice so you can get out of jail for free.")
(^_^)
P.S.: "common-looking parallelepiped" is of course not the same as "common parallelepiped". :-)
ReplyDelete