--- title: "Meaning & Key Takeaway of: The regular division of the plane into…" description: "\"The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies ..." image: "https://sms4smile.com/quotes/i/06e/m-c-escher-15873_again-and-again_the-regular-division-of-the-plane-into-c_48249.jpg" --- # The regular division of the plane into congruent figures… ![“The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies or problems...I have embarked on this geometric problem again and again over the years, trying to throw light on different aspects each time. I…” quote by M. C. Escher](https://sms4smile.com/quotes/i/06e/m-c-escher-15873_again-and-again_the-regular-division-of-the-plane-into-c_48249.jpg) [Download](https://sms4smile.com/quotes/i/06e/m-c-escher-15873_again-and-again_the-regular-division-of-the-plane-into-c_48249.jpg) [Open image](https://sms4smile.com/quotes/i/06e/m-c-escher-15873_again-and-again_the-regular-division-of-the-plane-into-c_48249.jpg) > “The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies or problems...I have embarked on this geometric problem again and again over the years, trying to throw light on different aspects each time. I cannot imagine what my life would be like if this problem had never occurred to me; one might say that I am head over heels in love with it, and I still don't know why.” [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. The author is fascinated by tessellations that resemble natural forms, seeing them as a lifelong, almost obsessive pursuit that shapes his identity. **In simple terms:** Obsessive love for geometric patterns Key Takeaway Geometric art can become a personal calling Themes Art Geometry Obsession Nature Creativity Mood Wonder Passion Curiosity Type Philosophical Personal reflection Artistic When to use this quote - Designing decorative tiles - Creating visual puzzles - Teaching geometry concepts Key Concepts Tessellation Pattern recognition Aesthetic appreciation Practical Applications - Inspiring visual artists - Developing educational tools for geometry Questions to Reflect On - Why do some problems become central to our lives? - How does visual similarity to nature affect our engagement with geometry? ★ ★ ★ ★ ★ No ratings yet [Again and again](https://sms4smile.com/quotes/about/again-and-again/) [Aspect](https://sms4smile.com/quotes/about/aspect/) [Association](https://sms4smile.com/quotes/about/association/) [Congruent Figures](https://sms4smile.com/quotes/about/congruent-figures-698453/) [Different](https://sms4smile.com/quotes/about/different/) [Division](https://sms4smile.com/quotes/about/division/) [Familiar](https://sms4smile.com/quotes/about/familiar/) [Figures](https://sms4smile.com/quotes/about/figures/) [Figures Evoking](https://sms4smile.com/quotes/about/figures-evoking-698454/) [Geometric](https://sms4smile.com/quotes/about/geometric/) [Geometric Problem](https://sms4smile.com/quotes/about/geometric-problem-698451/) [Head over heels](https://sms4smile.com/quotes/about/head-over-heels/) [Heels](https://sms4smile.com/quotes/about/heels/) [Hobbies](https://sms4smile.com/quotes/about/hobbies/) [Ifs](https://sms4smile.com/quotes/about/ifs/) [Imagine](https://sms4smile.com/quotes/about/imagine/) [Knows](https://sms4smile.com/quotes/about/knows/) [Light](https://sms4smile.com/quotes/about/light/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Might](https://sms4smile.com/quotes/about/might/) [Natural](https://sms4smile.com/quotes/about/natural/) [Objects](https://sms4smile.com/quotes/about/objects/) [Observers](https://sms4smile.com/quotes/about/observers/) [Plane Congruent](https://sms4smile.com/quotes/about/plane-congruent-698452/) [Planes](https://sms4smile.com/quotes/about/planes/) [Problem](https://sms4smile.com/quotes/about/problem/) [Stills](https://sms4smile.com/quotes/about/stills/) [Trying](https://sms4smile.com/quotes/about/trying/) [Would be](https://sms4smile.com/quotes/about/would-be/) [Years](https://sms4smile.com/quotes/about/years/) ## Related quotes > [There is a deep connection between Bernoulli's dictum and John Kelly's 1956 publication. It turns out that Kelly's prescription can be restated as this…](https://sms4smile.com/quotes/william-poundstone/there-is-a-deep-connection-between-bernoulli-s-dictum-and-john-kelly/) [William Poundstone](https://sms4smile.com/quotes/author/william-poundstone/) > [New York... is a city of geometric heights, a petrified desert of grids and lattices, an inferno of greenish abstraction under a flat sky,…](https://sms4smile.com/quotes/roland-barthes/new-york-is-a-city-of-geometric-heights-a-petrified-desert-of-grids/) [Roland Barthes](https://sms4smile.com/quotes/author/roland-barthes/) > [About Archimedes one remembers that he did strange things: he ran around naked shouting 'Heureka!', plunged crowns into water, drew geometric figures as he…](https://sms4smile.com/quotes/lucio-russo/about-archimedes-one-remembers-that-he-did-strange-things-he-ran/) [Lucio Russo](https://sms4smile.com/quotes/author/lucio-russo/) > [“The association of multiplication with vector rotation was one of the geometric interpretation's most important elements because it decisively connected the imaginaries with rotary…](https://sms4smile.com/quotes/david-stipp/the-association-of-multiplication-with-vector-rotation-was-one-of-the/) [David Stipp](https://sms4smile.com/quotes/author/david-stipp/) > [I try to visualize geometric shapes and patterns slowly spinning and expanding into infinity.](https://sms4smile.com/quotes/martina-mcbride/i-try-to-visualize-geometric-shapes-and-patterns-slowly-spinning-and/) [Martina McBride](https://sms4smile.com/quotes/author/martina-mcbride/) > [We all share beauty. It strikes us indiscriminately. There is no end to the beauty for the person who is aware. Even the cracks…](https://sms4smile.com/quotes/matthew-fox/we-all-share-beauty-it-strikes-us-indiscriminately-there-is-no-end-to/) [Matthew Fox](https://sms4smile.com/quotes/author/matthew-fox/) > [So all night long the storm roared on: The morning broke without a sun; In tiny spherule traced with lines Of Nature’s geometric signs,…](https://sms4smile.com/quotes/john-greenleaf-whittier/so-all-night-long-the-storm-roared-on-the-morning-broke-without-a-sun/) [John Greenleaf Whittier](https://sms4smile.com/quotes/author/john-greenleaf-whittier/) > [All my work comes from perceiving. I kept seeing things that were brooding in me. I'm not a geometric artist.](https://sms4smile.com/quotes/ellsworth-kelly/all-my-work-comes-from-perceiving-i-kept-seeing-things-that-were/) [Ellsworth Kelly](https://sms4smile.com/quotes/author/ellsworth-kelly/) > [I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric…](https://sms4smile.com/quotes/paul-lockhart/i-don-t-see-how-it-s-doing-society-any-good-to-have-so-many-members/) [Paul Lockhart](https://sms4smile.com/quotes/author/paul-lockhart/) > [As you know, Bergson pointed out that there is no such thing as disorder but rather two sorts of order, geometric and living.](https://sms4smile.com/quotes/jean-piaget/as-you-know-bergson-pointed-out-that-there-is-no-such-thing-as/) [Jean Piaget](https://sms4smile.com/quotes/author/jean-piaget/) > [These abnormal aspects included the shapes of UFOs and their behavior. Most of the UFOs seen in the daytime were said to have had…](https://sms4smile.com/quotes/don-berliner/these-abnormal-aspects-included-the-shapes-of-ufos-and-their-behavior/) [Don Berliner](https://sms4smile.com/quotes/author/don-berliner/) > [The only thing that I could get with chance, and I never was able to use it, was that I would end up with…](https://sms4smile.com/quotes/robert-rauschenberg/the-only-thing-that-i-could-get-with-chance-and-i-never-was-able-to/) [Robert Rauschenberg](https://sms4smile.com/quotes/author/robert-rauschenberg/) > [Much of what I make is geometric, and has a kind of almost mathematical logic to the form](https://sms4smile.com/quotes/anish-kapoor/much-of-what-i-make-is-geometric-and-has-a-kind-of-almost/) [Anish Kapoor](https://sms4smile.com/quotes/author/anish-kapoor/) > [Geometric shapes hold an energy pattern, and scientists did some experiments which say certain geometric shapes can affect matter around them. It's simply because…](https://sms4smile.com/quotes/tom-delonge/geometric-shapes-hold-an-energy-pattern-and-scientists-did-some/) [Tom DeLonge](https://sms4smile.com/quotes/author/tom-delonge/) > [“extraordinary success is sequential, not simultaneous. What starts out linear becomes geometric”](https://sms4smile.com/quotes/the-one-things/extraordinary-success-is-sequential-not-simultaneous-what-starts-out/) [the one things](https://sms4smile.com/quotes/author/the-one-things/) ## More by M. C. Escher > [I could fill an entire second life with working on my prints.](https://sms4smile.com/quotes/m-c-escher/i-could-fill-an-entire-second-life-with-working-on-my-prints/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [I might be in the basement. I'll go upstairs and check.](https://sms4smile.com/quotes/m-c-escher/i-might-be-in-the-basement-i-ll-go-upstairs-and-check/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [ For me it remains an open question whether \[this work\] pertains to the realm of mathematics or to that of art. ](https://sms4smile.com/quotes/m-c-escher/for-me-it-remains-an-open-question-whether-this-work-pertains-to-the/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [I never got a pass mark in math... Just imagine - mathematicians now use my prints to illustrate their books. Funny me consorting with…](https://sms4smile.com/quotes/m-c-escher/i-never-got-a-pass-mark-in-math-just-imagine-mathematicians-now-use/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [As far as I know, there is no proof whatever of the existence of an objective reality apart from our senses, and I do…](https://sms4smile.com/quotes/m-c-escher/as-far-as-i-know-there-is-no-proof-whatever-of-the-existence-of-an/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [Science and art sometimes can touch one another, like two pieces of the jigsaw puzzle which is our human life, and that contact may…](https://sms4smile.com/quotes/m-c-escher/science-and-art-sometimes-can-touch-one-another-like-two-pieces-of/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [ In mathematical quarters, the regular division of the plane has been considered theoretically. ... \[Mathematicians\] have opened the gate leading to an extensive domain,… ](https://sms4smile.com/quotes/m-c-escher/in-mathematical-quarters-the-regular-division-of-the-plane-has-been/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [I might be in the basement. I'll go upstairs and check. We adore chaos because we love to produce order. I don't use drugs;…](https://sms4smile.com/quotes/m-c-escher/i-might-be-in-the-basement-i-ll-go-upstairs-and-check-we-adore-chaos/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [The things I want to express are so beautiful and pure.](https://sms4smile.com/quotes/m-c-escher/the-things-i-want-to-express-are-so-beautiful-and-pure/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [To tell you the truth, I am rather perplexed by the concept of 'art'. What one person considers to be 'art' is often not…](https://sms4smile.com/quotes/m-c-escher/to-tell-you-the-truth-i-am-rather-perplexed-by-the-concept-of-art/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [To have peace with this peculiar life; to accept what we do not understand; to wait calmly for what awaits us, you have to…](https://sms4smile.com/quotes/m-c-escher/to-have-peace-with-this-peculiar-life-to-accept-what-we-do-not/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [Although I am even now still a layman in the area of mathematics, and although I lack theoretical knowledge, the mathematicians, and in particular…](https://sms4smile.com/quotes/m-c-escher/although-i-am-even-now-still-a-layman-in-the-area-of-mathematics-and/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [It is human nature to want to exchange ideas, and I believe that, at bottom, every artist wants no more than to tell the…](https://sms4smile.com/quotes/m-c-escher/it-is-human-nature-to-want-to-exchange-ideas-and-i-believe-that-at/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [All my works are games, serious game.](https://sms4smile.com/quotes/m-c-escher/all-my-works-are-games-serious-game/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) > [I am myself: a light. In me you find your fate. So be not blind to the truth shining from my glow.](https://sms4smile.com/quotes/m-c-escher/i-am-myself-a-light-in-me-you-find-your-fate-so-be-not-blind-to-the/) [M. C. Escher](https://sms4smile.com/quotes/author/m-c-escher/) [Explore all 41 M. C. Escher quotes ](https://sms4smile.com/quotes/author/m-c-escher/) ## More Again and again quotes > [A human being can only absorb a small amount of the mystical kundalini, you can be exposed again and again to it, but it…](https://sms4smile.com/quotes/frederick-lenz/a-human-being-can-only-absorb-a-small-amount-of-the-mystical/) [Frederick Lenz](https://sms4smile.com/quotes/author/frederick-lenz/) > [As in any machine, all the wires must be connected to the mains through one main wire. In the same way, you all must…](https://sms4smile.com/quotes/nirmala-srivastava/as-in-any-machine-all-the-wires-must-be-connected-to-the-mains/) [Nirmala Srivastava](https://sms4smile.com/quotes/author/nirmala-srivastava/) > [Because when you work with a different team, the expectations are different and then you deliver in a very different way. You look back…](https://sms4smile.com/quotes/a-r-rahman/because-when-you-work-with-a-different-team-the-expectations-are/) [A. R. Rahman](https://sms4smile.com/quotes/author/a-r-rahman/) > [Again and again I tell God I need help, and God says, 'Well, isn't that fabulous? Because I need help too. So you go…](https://sms4smile.com/quotes/anne-lamott/again-and-again-i-tell-god-i-need-help-and-god-says-well-isn-t-that/) [Anne Lamott](https://sms4smile.com/quotes/author/anne-lamott/) > [After this happens again and again, we reach a point were there is nothing but satori, which is what nirvikalpa samadhi is like.](https://sms4smile.com/quotes/frederick-lenz/after-this-happens-again-and-again-we-reach-a-point-were-there-is/) [Frederick Lenz](https://sms4smile.com/quotes/author/frederick-lenz/) > [Listen, the story of the United States is this: One kid, without anything, walks out of his house, down the road, with nothing but…](https://sms4smile.com/quotes/t-bone-burnett/listen-the-story-of-the-united-states-is-this-one-kid-without/) [T Bone Burnett](https://sms4smile.com/quotes/author/t-bone-burnett/) > [Don´t be unnecessarily burdened by the past. Go on closing the chapters that you have read; there is no need to go back again…](https://sms4smile.com/quotes/rajneesh/don-t-be-unnecessarily-burdened-by-the-past-go-on-closing-the/) [Rajneesh](https://sms4smile.com/quotes/author/rajneesh/) > [The difference between a winner and a loser - they both failed, but the winner gets back up and does it again and again…](https://sms4smile.com/quotes/greg-plitt/the-difference-between-a-winner-and-a-loser-they-both-failed-but-the/) [Greg Plitt](https://sms4smile.com/quotes/author/greg-plitt/) > [Owning the intellectual property is like owning land: You need to keep investing in it again and again to get a payoff; you can't…](https://sms4smile.com/quotes/esther-dyson/owning-the-intellectual-property-is-like-owning-land-you-need-to-keep/) [Esther Dyson](https://sms4smile.com/quotes/author/esther-dyson/) > [The key to longevity is to keep doing what you do better than anyone else. We work real hard at that. It's about getting…](https://sms4smile.com/quotes/ralph-lauren/the-key-to-longevity-is-to-keep-doing-what-you-do-better-than-anyone/) [Ralph Lauren](https://sms4smile.com/quotes/author/ralph-lauren/) > [You are great young people. I have said again and again, we have the finest generation of young people ever in the history of…](https://sms4smile.com/quotes/gordon-b-hinckley/you-are-great-young-people-i-have-said-again-and-again-we-have-the/) [Gordon B. Hinckley](https://sms4smile.com/quotes/author/gordon-b-hinckley/) > [If you find that the reader of popular romances--however uneducated a reader, however bad the romances--goes back to his old favourites again and again,…](https://sms4smile.com/quotes/c-s-lewis/if-you-find-that-the-reader-of-popular-romances-however-uneducated-a/) [C. S. Lewis](https://sms4smile.com/quotes/author/c-s-lewis/) > [And while I am talking to you mothers and fathers, I give you one more assurance. I have said this before, but I shall…](https://sms4smile.com/quotes/franklin-d-roosevelt/and-while-i-am-talking-to-you-mothers-and-fathers-i-give-you-one-more/) [Franklin D. Roosevelt](https://sms4smile.com/quotes/author/franklin-d-roosevelt/) > [It comes down to risk, again and again. If you risk coming out, if you risk making pictures that aren’t good, you might discover…](https://sms4smile.com/quotes/joel-meyerowitz/it-comes-down-to-risk-again-and-again-if-you-risk-coming-out-if-you/) [Joel Meyerowitz](https://sms4smile.com/quotes/author/joel-meyerowitz/) > [There are moments when I cannot bear this unremitting consciousness. It knows only itself. Awake, I am in a continuum with my dreams. I…](https://sms4smile.com/quotes/e-l-doctorow/there-are-moments-when-i-cannot-bear-this-unremitting-consciousness/) [E. L. Doctorow](https://sms4smile.com/quotes/author/e-l-doctorow/) [Browse all 445 Again and again quotes ](https://sms4smile.com/quotes/about/again-and-again/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies or problems...I have embarked on this geometric problem again and again over the years, trying to throw light on different aspects each time. I cannot imagine what my life would be like if this problem had never occurred to me; one might say that I am head over heels in love with it, and I still don't know why.", "creator": { "@type": "Person", "name": "M. C. 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