Mission Control Depth

Apple’s “Mission Control” can be activated by swiping three fingers upward to shrink the current windows, allowing easier viewing of what you have open. But what if it wasn’t shrinking, but moving backwards in three-dimensional space? Sort of like this:

Linear perspective, following Euclidean geometry, lets us calculate the distance of an object based on its actual and apparent heights. With a few screenshots we can get the measurements.

A full-sized window on my laptop measures:
1746 pixels high @ 144 ppi (12.125 inches)

FullScreenView-web

In Mission Control view, it measures:
1034 pixels high @ 144 ppi (7.181 inches)

MissionControlView-web

Now, using this formula:

d = h*a

Where:
h = apparent height
a = actual height of object
d = distance

And given our measurements, we can calculate the Mission Control depth:
d = 7.181 * 12.125 = ~87" = ~7'3" (or about 2.2 meters)

Or about like this:

LaptopRendering

Drive Speed and Distance Light Travels

FORMATREAD TIMEDISTANCE LIGHT TRAVELS
CPU< 0.4 nanoseconds0.12 meters
RAM12 nanoseconds3.5 meters
Hard-drive7 milliseconds2098 km (about the same distance as Munich to Moscow)

(from my notes archive)

20 Petaflops

As part of the announcement today of the Top500 list of supercomputers:

“When Sequoia is really firing on all cylinders, also sometime later this year, it will hit 20 petaflops per second. The way Livermore explains it, if every single person on earth worked nonstop on a calculator for an entire year, they could do the same number of calculations in 320 years that Sequoia cranks out in an hour.”

Via: Wired