Utagawa Kuniyoshi, Cats For The 53 Stations Of The Tokaido, 1847 - 1850. Japan. Via Rijksmuseum

“We can read even a correct proof, and be completely convinced of the logical steps of the proof, but still not have any understanding of the whole. Like being led, step by step, through a dark forest, but having no idea of the overall route.”

Eugenia Cheng (via cofinaldestination)

Maybe this is why I have trouble reading math textbooks sometimes? I can understand why a step is valid, but I get caught up on, “Wait, where are we going? Where are you taking me?”

(via ryanandmath)

"To paraphrase Walt Whitman: 'You are vast. You contain multitudes. Now let them live.'"

This is what happens when Two Black Holes Collide.

This is the animation of the final stages of a merger between two black holes. What is particularly interesting about this animation is that it highlights a phenomenon known as Gravitational Lensing.

What is Gravitational Lensing?

Mass bends Light. What? 

Yeah, mass can bend Light. The gravitational field of a really massive object is super strong. And this causes light rays passing close to that object to be bent and refocused somewhere else.

The more massive the object, the stronger its gravitational field and hence the greater the bending of light rays - just like using denser materials to make optical lenses results in a greater amount of refraction.

Here’s an animation showing a black hole going past a background galaxy.

This effect is one of the predictions of Einstein’s Theory of General Relativity 

PC: cfhtlens, Urbane Legend

R.Buckminster Fuller. Utopia or Oblivion: The Prospects for Humanity. Pelican. 1973.

debate debate debate debate debate feeeeeevvvvveeeerrrrrrr

From Cosmos: A Spacetime Oddyssey, Episode 4 - A Sky Full of Ghosts

1. Allow yourself the uncomfortable luxury of changing your mind. Cultivate that capacity for “negative capability.” We live in a culture where one of the greatest social disgraces is not having an opinion, so we often form our “opinions” based on superficial impressions or the borrowed ideas of others, without investing the time and thought that cultivating true conviction necessitates. We then go around asserting these donned opinions and clinging to them as anchors to our own reality. It’s enormously disorienting to simply say, “I don’t know.” But it’s infinitely more rewarding to understand than to be right — even if that means changing your mind about a topic, an ideology, or, above all, yourself. 2. Do nothing for prestige or status or money or approval alone. As Paul Graham observed, “prestige is like a powerful magnet that warps even your beliefs about what you enjoy. It causes you to work not on what you like, but what you’d like to like.” Those extrinsic motivators are fine and can feel life-affirming in the moment, but they ultimately don’t make it thrilling to get up in the morning and gratifying to go to sleep at night — and, in fact, they can often distract and detract from the things that do offer those deeper rewards. 3. Be generous. Be generous with your time and your resources and with giving credit and, especially, with your words. It’s so much easier to be a critic than a celebrator. Always remember there is a human being on the other end of every exchange and behind every cultural artifact being critiqued. To understand and be understood, those are among life’s greatest gifts, and every interaction is an opportunity to exchange them. 4. Build pockets of stillness into your life. Meditate. Go for walks. Ride your bike going nowhere in particular. There is a creative purpose to daydreaming, even to boredom. The best ideas come to us when we stop actively trying to coax the muse into manifesting and let the fragments of experience float around our unconscious mind in order to click into new combinations. Without this essential stage of unconscious processing, the entire flow of the creative process is broken.   Most importantly, sleep. Besides being the greatest creative aphrodisiac, sleep also affects our every waking moment, dictates our social rhythm, and even mediates our negative moods. Be as religious and disciplined about your sleep as you are about your work. We tend to wear our ability to get by on little sleep as some sort of badge of honor that validates our work ethic. But what it really is is a profound failure of self-respect and of priorities. What could possibly be more important than your health and your sanity, from which all else springs? 5. When people tell you who they are, Maya Angelou famously advised, believe them. Just as importantly, however, when people try to tell you who you are, don’t believe them. You are the only custodian of your own integrity, and the assumptions made by those that misunderstand who you are and what you stand for reveal a great deal about them and absolutely nothing about you. 6. Presence is far more intricate and rewarding an art than productivity. Ours is a culture that measures our worth as human beings by our efficiency, our earnings, our ability to perform this or that. The cult of productivity has its place, but worshipping at its altar daily robs us of the very capacity for joy and wonder that makes life worth living — for, as Annie Dillard memorably put it, “how we spend our days is, of course, how we spend our lives.” 7. “Expect anything worthwhile to take a long time.” This is borrowed from the wise and wonderful Debbie Millman, for it’s hard to better capture something so fundamental yet so impatiently overlooked in our culture of immediacy. The myth of the overnight success is just that — a myth — as well as a reminder that our present definition of success needs serious retuning. As I’ve reflected elsewhere, the flower doesn’t go from bud to blossom in one spritely burst and yet, as a culture, we’re disinterested in the tedium of the blossoming. But that’s where all the real magic unfolds in the making of one’s character and destiny.

Maria Popova, “7 Lessons from 7 Years” at Brain Pickings (via universityandme)

lady and the tramp {scenery}

SEMENTINE 

[adjective] 

pertaining to sowing; of the time of seeding fields. 

Etymology: ultimately derived from Latin semen, “seed of plants, animals or men; inborn characteristic; posterity; progeny; offspring,” figuratively, “origin, essence, principle, cause”.

[J. R. Slattum - Seed]