The Apollo 11 Lunar Module Eagle, in a landing configuration was photographed in lunar orbit from the Command and Service Module Columbia. Inside the module were Commander Neil A. Armstrong and Lunar Module Pilot Buzz Aldrin. The long rod-like protrusions under the landing pods are lunar surface sensing probes. Upon contact with the lunar surface, the probes sent a signal to the crew to shut down the descent engine.
I like middles. It is in middles that extremes clash, where ambiguity restlessly rules.John Updike (via likeafieldmouse)
Affine transformations preserve parallel lines, and include rotations, scaling, shears and translations. Linear transformations can’t perform translations, but this can be achieved if we go to a higher dimension.
In this animation, a planar (2D) shape lying on the plane z = 1 is translated by means of a linear transformation in three dimensions: a shear along the z axis.
Rotations can be performed normally, also around the z axis. Both operations are now linear in 3D, and can be represented by a single 3x3 affine transformation matrix acting on two dimensions.
The “shadow” of the shape illustrates the relative position between the two images, on the planes z = 0 and z = 1, and was included to better visualize the shear.
Whoever, at any time, has undertaken to build a new heaven has found the strength for it in his own hell.Friedrich Nietzsche (via likeafieldmouse)
Every form of addiction is bad, no matter whether the narcotic be alcohol, morphine or idealism.Carl Jung (via likeafieldmouse)
The Lunar Module “Spider” ascent stage is photographed from the Command/Service Module on the fifth day of the Apollo 9 earth-orbital mission. The Lunar Module’s descent stage had already been jettisoned.