Coxeter also wrote a long mathematical explanation in his letter, which was beyond Escher's comprehension, as he remarked in a letter to George and Corrie.

Baarn, 28 May 1960: 'I had an enthusiastic letter from Coexter about my coloured fish, which I sent him. Three pages of explanation of what I actually did... It's a pity that I understand nothing, absolutely nothing of it...

I do indeed believe that there is a certain contrast between, say, people in scientific professions and people working in the arts. Often there is even mutual suspicion and irritation, and in some cases one group greatly undervalues the other. Fortunately there is no one who actually has only feeling or only thinking properties. They intermingle like the colors of the rainbow and cannot be sharply divided. Perhaps there is even a transitional group, like the green between the yellow and the blue of the rainbow. This transitional group does not have a particular preference for thinking or feeling, but believes that one cannot do without either the one or the other. At any rate, it is unprejudiced enough to wish for a better understanding between the two parties... It is clear that feeling and understanding are not necessarily opposites but that they complement each other.

Share Your Favorite Quotes

Know a quote that's missing? Help grow our collection.

As far as I know, there is no proof whatever of the existence of an objective reality apart from our senses, and I do not see why we should accept the outside world as such solely by virtue of our senses. These reality enthusiasts are possibly playing at hide-and-seek; at any rate they like to hide themselves, though they are not usually aware of it. They simply do it because they happen to have been born with a sense of reality, that is, with a great interest in so-called reality, and because man likes to forget himself.

Works in ChatGPT, Claude, or Any AI

Add semantic quote search to your AI assistant via MCP. One command setup.

Sometimes, just before I fall asleep at night, I have a beautiful vision. In my imagination I see the earth floating like an enormous orange, stately and still, in the pure emptiness surrounding her. I see her slowly rotating, always lit up and warmed on one side by her mother, the sun. Ribbons and shreds of cloud float around her, and between these the seas and the multi-coloured continents, with their humid plains and snowy mountaintops, sparkle and shimmer. And I see the hot, yellow deserts and the frozen polar icecaps.
I am so far removed from the beautiful earth that the people scurrying around in their cities are of course no longer visible. Whether this is such a good thing as it seems to be at the time is open to question. But it is a fact that my vision is so beautiful, so restful and so full of peace that I usually fall asleep soon afterwards.
That is why this also seems to be the right moment to end my story, at least for today,

..and to think now that great mathematicians find my work interesting because I am able to illustrate their theories. They can not imagine that I was such a bad pupil in mathematics. I don't understand it myself neither. I never could understand why it was necessary to prove something that everyone already sees. I saw it, I knew it, so it is how it is… But yes, you had to prove it. I did overcome it when I realized I can make something else - I thought I was a good-for-nothing. In my family there were no other artists to find.. .I was just a weird duck, right?

It is human nature to want to exchange ideas, and I believe that, at bottom, every artist wants no more than to tell the world what he has to say. I have sometimes heard painters say that they paint 'for themselves': but I think they would soon have painted their fill if they lived on a desert island. The primary purpose of all art forms, whether it's music, literature, or the visual arts, is to say something to the outside world; in other words, to make a personal thought, a striking idea, an inner emotion perceptible to other people’s senses in such a way that there is no uncertainty about the maker's intentions.

Works in ChatGPT, Claude, or Any AI

Add semantic quote search to your AI assistant via MCP. One command setup.

There is something in such laws that takes the breath away. They are not discoveries or inventions of the human mind, but exist independently of us. In a moment of clarity, one can at most discover that they are there and take them into account. Long before there were people on the earth, crystals were already growing in the earth's crust. On one day or another, a human being first came across such a sparkling morsel of regularity lying on the ground or hit one with his stone tool and it broke off and fell at his feet, and he picked it up and regarded it in his open hand, and he was amazed.

version in original Dutch (origineel citaat van M.C. Escher, in het Nederlands): En als je nu bedenkt dat grote wiskundigen mijn werk interessant vinden, omdat ik in staat ben hun theorieën te illustreren. Ze kunnen zich helemaal niet voorstellen dat ik zo slecht was in wiskunde. Ik snap er zelf ook niets van. Ik begreep niet dat je iets moest bewijzen wat iedereen ziet. Ik zag het, ik wist, het is toch zo.. .Maar jawel hoor, je moest het bewijzen. Ik ben er bovenuit gekomen toen ik me realiseerde, dat ik wat anders kon. Ik dacht, dat ik een nietsnut was. Ik kom uit een milieu waar geen artiesten in waren.. ..Ik was een rare eend in de bijt, he?