[FRIAM] square land math question

[Frank Wimberly]

"is the same sized square, e.g. at {0.5,0.5}, the same square as the one at
{10.5-10,10.5-10}"

If you agree that 10.5 - 10 = 0.5 then same square, different name.

On Thu, Jul 23, 2020 at 2:47 PM uǝlƃ ↙↙↙ <gepropella at gmail.com> wrote:

> Well, we're talking about sub-squares, not just any old reduction. So,
> this would be the reductions where both elements of the tuple are reduced
> by the same scalar. But, more importantly, is the same sized square, e.g.
> at {0.5,0.5}, the same square as the one at {10.5-10,10.5-10}? I think most
> people would say they're different squares even if they have the same
> reductions (area, circumference, etc.). So, by extension, an infinitesimal
> closest to zero ("iota"?) is different from one just above, say, 10 even if
> they're the same size.
>
> Along those same lines, I think an alternative answer the kid could've
> given was to set the origin of the original square in the middle of the
> square, then say that any square with corners at
> {{x,x},{-x,x},{-x,-x},{x,-x}} where x less than ½ the length of the
> original square would cut into 2 squares. Where the original answer the kid
> gave used an alternate definition of "square" than what Cody was using,
> this uses yet *another* definition of "square", one that's more agnostic
> about the space inside the square's borders. Is a square picture frame a
> square? Or just a set of 4 sticks wherein the squareness property is
> emergent? [pffft]
>
>
> On 7/23/20 1:20 PM, Frank Wimberly wrote:
> > Good point, Steve.  There are infinitely many ways of resolving a
> vector.  E.g. (1, 1) = (1, 0) + (0, 1/2) + (0, 1/4) + (0, 1/4) etc.
>
>
> --
> ↙↙↙ uǝlƃ
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-- 
Frank Wimberly
140 Calle Ojo Feliz
Santa Fe, NM 87505
505 670-9918
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