Recent content by bob012345

Ever solve a problem so well you feel like you deserve a prize? At least that’s what I got from it.

Ok, thanks.

To me the issue is not if there is physical reality underneath what are now labeled quantum fields. It is can quantum fields be measured as distinct physical entities and what are their properties as compared to mathematical representations in some theory which are assumed to be some fundamental...

Thanks. But are they physical entities?

If electrons are quantum fields, then what, physically, are quantum fields?

Could we say his ‘proof’ wasn’t even marginal?

The two solutions with square edges along the triangle sides cut the triangle into either two or three smaller 3-4-5 triangles. The case where only three points of the square touch the sides of the triangle cuts it into two triangles different from the 3-4-5 and one four sided shape.

I got the maximum and one relative maximum but missed the minimum. I had the diagonal of the square vertical which gives s=12/11 root(2).

It might be interesting to consider a square inscribed in a 3-4-5 triangle. If the square must touch all three sides, what is the largest, the smallest possible?

Apparently, this construction, the original square with semi-diagonals as @DaveC426913 drew in post #18, goes back thousands of years and has numerous properties of interest. There is a Wooden book called The Diagram all about it. This construction is also called the Helicon. Wooden books...

Yes, I rounded it to fit the grids of the graph paper from 2.828 to 2.75 since the grids were quarter inch. Made the drawing a lot easier!

It looks off but I computed the coordinates and checked the edge lengths which are ##2-√2##.

Finally, I think you meant this.

I thought you meant the squares inscribed in the irregular octagon.