On the topic of glass, it’s probably worth noting that the historical recommendation was for the use of plate glass.
Prior to the invention of the float process in the 1950s, and for some time afterwards, large windows were made by grinding and polishing cast or rolled glass to produce polished plate glass (ordinary window glass being drawn as a sheet – sheet glass). This was typically carried out in the ‘twin grinding’ continuous process that used multiple grinding heads, each spanning the width of the glass sheet, followed by a similar polishing section. This naturally tended to result in a finished product with a very uniform surface that, in small sections, was effectively ‘flat’ to a reasonably good accuracy.
Float glass *can* also be very uniform, but this isn’t automatically the case. There is a ‘selvedge’ at either side of the glass ribbon which isn’t uniform, and will generally be cut off when producing finished pieces – you don’t want this.
The flatness of the glass plate is dependent on the homogeneity of the glass – small chemical changes have large effects on viscosity. Homogeneity depends on the uniformity of the raw materials and how the furnace is operated. Financial pressures drive toward cheap materials, and high throughputs.
If you look at glazed facades at a shallow angle, you can easily see how shockingly bad the surface of some modern glass is.
In a previous employment, we used to use 25mm thick float glass as working flatness standards. These were checked / “calibrated” before use which was generally an academic exercise. I still have one such piece, and it’s as flat as I need it to be. Support points do need to be carefully chosen, or rest it on a partially inflated inner tube.
I think the best chances of getting a piece of flat glass nowadays would be to get a piece of 19mm (or thicker) cut from the body of raw glass made in an European plant.
(or go and break a shop window 😉 )