wingofword :
I am pretty sure the article is correct
You are dealing with 2 dimension calculation,
so assume dies are squares, area shrink would be approx.:
(sqrt(130) - sqrt(82) )^2 + (((sqrt(130) - sqrt(82) ) x sqrt(82)) x2)
= (11.4018 - 9.0554)^2 + (((11.4018 - 9.0554) x 9.0554) x2)
= 2.3464^2 + ((2.3464 x 9.0554) x2)
= 48.0008mm2 lost
(130 - 48.0008) / 130 = 0.6308 = 63.08%
so you do lose 63% surface area going from 130mm2 to 82mm2
I think my math is right (been a while since I done geometry)
Please correct me if I am wrong.
The math is correct ( until the very last line, ) so your conclusions are not. 82 is 63% of 130, but that is the number retained, not lost. You've lost 48 sqmm, 48 is 37% of 130, therefore you've lost 37% of the area. You're also using a very convoluted way of simply taking area 1 and subtracting area 2: 130 - 82 = 48. I see your method, you've overlapped two squares of differing size, treating one common corner as an anchor point, and then added up the void areas ( two rectangles and a square. ) This would be necessary if you didn't already know the dimensions, but we do.
It doesn't matter what the actual length or height of the dies are. We've been given a total area of silicon and that area is what is being compared. It's a simple matter of Area1 x Percent = Area2. That leaves you with either 130 / 82 or 82 / 130. Case one = 158%, case 2 = 63%. Taking those percentages and subtracting 100% will give you a difference in size as a percent ( if the result is negative, then it's smaller. ) That leaves 58% and -37%.
The review simply used the wrong words, or put the chips in the wrong order in the sentence. It would have been correct to say that Broadwell-Y's size
is 63% of Haswell-Y or that Haswell-Y has been
scaled down to 63% of its former size. You could say Haswell is 158% of Broadwell or that it's 58% larger than Broadwell. On the flip side, you can say Broadwell is 63% of Haswell or that it's 37% smaller, or that Haswell has been reduced 37%.
Hey, I [strike]wasted[/strike] paid lots of money for that math degree, I'm going to use it, damn it!