A square will tessellate a plane; can we always find a square that will tessellate a rectangle?
2007-09-20 17:24:11 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes. the definition of square is: all sides equal, all angles 90. a rectangle needs only all angles 90. The conditions of a square satisfy the conditions for a rectangle, so yes.
2007-09-20 17:29:01 · answer #1 · answered by Zack Wilder 3 · 0⤊ 0⤋
Hrm...I'm tempted to say yes, but what of rectangles with irrational sides? The square would have to be an atom's width. That's probably not acceptable. When the rectangle's sides are incommensurable (that is, when there is no rational number that evenly divides both, such as for 1 and sqrt(2)), there is probably no square that can tesselate it.
2007-09-20 17:31:32 · answer #2 · answered by Anonymous · 0⤊ 0⤋
A rectangle is a planar figure, so if the plane of the rectangle is known, the "tessellating" square should be able to be found.
2007-09-20 17:28:59 · answer #3 · answered by cattbarf 7 · 0⤊ 0⤋
We tried for 18 months beforehand I went on Clomid, I fell pregnant after the 2d month yet miscarried yet fell pregnant returned quickly after. Im now virtually 33 weeks pregnant. I under no circumstances theory it would take us that long yet its all particularly worth it in the top isnt it.
2016-12-26 20:41:03 · answer #4 · answered by jitendra 4 · 0⤊ 0⤋
yes you will. (actually i dnt know. I just wanted to sound smart.
2007-09-20 17:32:43 · answer #5 · answered by crispy 1 · 0⤊ 0⤋