--- title: "Meaning & Key Takeaway of: In mathematical quarters, the regular…" description: "\"In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an ..." image: "https://sms4smile.com/quotes/i/5cf/m-c-escher-15873_behinds_in-mathematical-quarters-the-regular-div_216361.png" --- # In mathematical quarters, the regular division of the… ![“In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is…” quote by M. C. Escher](https://sms4smile.com/quotes/i/5cf/m-c-escher-15873_behinds_in-mathematical-quarters-the-regular-div_216361.png) [Download](https://sms4smile.com/quotes/i/5cf/m-c-escher-15873_behinds_in-mathematical-quarters-the-regular-div_216361.png) [Open image](https://sms4smile.com/quotes/i/5cf/m-c-escher-15873_behinds_in-mathematical-quarters-the-regular-div_216361.png) > “In mathematical quarters, the regular division of the plane has been considered theoretically. ... \[Mathematicians\] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.” [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. Mathematicians focus on opening problems rather than exploring the resulting realms. **In simple terms:** They study methods more than outcomes. Key Takeaway Balance curiosity about process and discovery. Themes curiosity methodology exploration Mood thoughtful analytical Type philosophical academic When to use this quote - research - teaching - problem solving - innovation Key Concepts mathematics philosophy creativity Questions to Reflect On - What doors have you opened without entering? - How can you explore the garden beyond the gate? A Different Perspective Potential neglect of practical applications behind the theory. ★ ★ ★ ★ ★ No ratings yet [Behinds](https://sms4smile.com/quotes/about/behinds/) [Division](https://sms4smile.com/quotes/about/division/) [Division Plane](https://sms4smile.com/quotes/about/division-plane-2220233/) [Domain](https://sms4smile.com/quotes/about/domain/) [Garden](https://sms4smile.com/quotes/about/garden/) [Gates](https://sms4smile.com/quotes/about/gates/) [Has beens](https://sms4smile.com/quotes/about/has-beens/) [Lying](https://sms4smile.com/quotes/about/lying/) [Mathematical](https://sms4smile.com/quotes/about/mathematical/) [Mathematical Quarters](https://sms4smile.com/quotes/about/mathematical-quarters-2220232/) [Mathematician](https://sms4smile.com/quotes/about/mathematician/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Planes](https://sms4smile.com/quotes/about/planes/) [Quarters](https://sms4smile.com/quotes/about/quarters/) [Regular Division](https://sms4smile.com/quotes/about/regular-division-2220231/) [Theoretically Mathematicians](https://sms4smile.com/quotes/about/theoretically-mathematicians-2220234/) [Way](https://sms4smile.com/quotes/about/way/) ## Related quotes > [The great mathematician fully, almost ruthlessly, exploits the domain of permissible reasoning and skirts the impermissible. 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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/) > [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/) > [With cooking, there's always the tangible and the intangible: that which is in the domain of sentiment, of the individual.](https://sms4smile.com/quotes/alain-ducasse/with-cooking-there-s-always-the-tangible-and-the-intangible-that/) [Alain Ducasse](https://sms4smile.com/quotes/author/alain-ducasse/) > [Cliché activates the comfortable mental laziness, we sort of revert to the domain of the already-familiar, what we have already imagined so that it…](https://sms4smile.com/quotes/aleksandar-hemon/clich-activates-the-comfortable-mental-laziness-we-sort-of-revert-to/) [Aleksandar Hemon](https://sms4smile.com/quotes/author/aleksandar-hemon/) > [I didn't say wonderful, I say eminent domain is something you need Chris. Eminent domain - if I build a highway - go ahead.…](https://sms4smile.com/quotes/donald-trump/i-didn-t-say-wonderful-i-say-eminent-domain-is-something-you-need/) [Donald Trump](https://sms4smile.com/quotes/author/donald-trump/) > [I do not actually see how art, literature can be anything other that being in that domain of trying to tell us, trying to…](https://sms4smile.com/quotes/chinua-achebe/i-do-not-actually-see-how-art-literature-can-be-anything-other-that/) [Chinua Achebe](https://sms4smile.com/quotes/author/chinua-achebe/) > [I think fiction allows you to inhabit new domains and it's you, the reader living in that domain for a few days that results…](https://sms4smile.com/quotes/mohsin-hamid/i-think-fiction-allows-you-to-inhabit-new-domains-and-it-s-you-the/) [Mohsin Hamid](https://sms4smile.com/quotes/author/mohsin-hamid/) > [What 'eminent domain' laws mean in practice is that politicians have a right to seize your property and turn it over to someone else,…](https://sms4smile.com/quotes/thomas-sowell/what-eminent-domain-laws-mean-in-practice-is-that-politicians-have-a/) [Thomas Sowell](https://sms4smile.com/quotes/author/thomas-sowell/) > [An academic discipline, or any other semiotic domain, for that matter, is not primarily content, in the sense of facts and principles. It is…](https://sms4smile.com/quotes/james-paul-gee/an-academic-discipline-or-any-other-semiotic-domain-for-that-matter/) [James Paul Gee](https://sms4smile.com/quotes/author/james-paul-gee/) > [I'm saying that the domain of poetry includes both oral & written forms, that poetry goes back to a pre-literate situation & would survive…](https://sms4smile.com/quotes/jerome-rothenberg/i-m-saying-that-the-domain-of-poetry-includes-both-oral-written-forms/) [Jerome Rothenberg](https://sms4smile.com/quotes/author/jerome-rothenberg/) > [When people are suicidal, their thinking is paralyzed, their options appear spare or nonexistent, their mood is despairing, and hopelessness permeates their entire mental…](https://sms4smile.com/quotes/kay-redfield-jamison/when-people-are-suicidal-their-thinking-is-paralyzed-their-options/) [Kay Redfield Jamison](https://sms4smile.com/quotes/author/kay-redfield-jamison/) > [Limit use of shareware and public domain software to systems without fixed disks. If you do use them on fixed disks, allocate separate subdirectories...…](https://sms4smile.com/quotes/john-mcafee/limit-use-of-shareware-and-public-domain-software-to-systems-without/) [John McAfee](https://sms4smile.com/quotes/author/john-mcafee/) ## 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/) > [The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these…](https://sms4smile.com/quotes/m-c-escher/the-regular-division-of-the-plane-into-congruent-figures-evoking-an/) [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/) > [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 Behinds quotes > [Resist discouragement by speaking His Word over your future. Keep standing. Keep hoping; keep believing because He is working behind the scenes. He's going…](https://sms4smile.com/quotes/joel-osteen/resist-discouragement-by-speaking-his-word-over-your-future-keep/) [Joel Osteen](https://sms4smile.com/quotes/author/joel-osteen/) > [Behind every successful child is an adult who believed in him.](https://sms4smile.com/quotes/rick-warren/behind-every-successful-child-is-an-adult-who-believed-in-him/) [Rick Warren](https://sms4smile.com/quotes/author/rick-warren/) > [Elections belong to the people. It's their decision. If they decide to turn their back on the fire and burn their behinds, then they…](https://sms4smile.com/quotes/abraham-lincoln/elections-belong-to-the-people-it-s-their-decision-if-they-decide-to/) [Abraham Lincoln](https://sms4smile.com/quotes/author/abraham-lincoln/) > [Time is painted with a lock before, and bald behind, signifying thereby that we must take time by the forelock; for, when it is…](https://sms4smile.com/quotes/jonathan-swift/time-is-painted-with-a-lock-before-and-bald-behind-signifying-thereby/) [Jonathan Swift](https://sms4smile.com/quotes/author/jonathan-swift/) > [God hides Himself behind causes.](https://sms4smile.com/quotes/charles-rollin/god-hides-himself-behind-causes/) [Charles Rollin](https://sms4smile.com/quotes/author/charles-rollin/) > [Home is behind, the world ahead, And there are many paths to tread Through shadows to the edge of night, Until the stars are…](https://sms4smile.com/quotes/anonymous/home-is-behind-the-world-ahead-and-there-are-many-paths-to-tread/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Behind every word flows energy. If you use your words to gossip or babble about what you are going to do before you do…](https://sms4smile.com/quotes/sonia-choquette/behind-every-word-flows-energy-if-you-use-your-words-to-gossip-or/) [Sonia Choquette](https://sms4smile.com/quotes/author/sonia-choquette/) > [With the realization of God comes all power. If the little wave knew that behind it is the great ocean, it could say, "I…](https://sms4smile.com/quotes/paramahansa-yogananda/with-the-realization-of-god-comes-all-power-if-the-little-wave-knew/) [Paramahansa Yogananda](https://sms4smile.com/quotes/author/paramahansa-yogananda/) > [Conservatism is not about leaving people behind. Conservatism is about empowering people to catch up, to give them the tools at their disposable that…](https://sms4smile.com/quotes/marco-rubio/conservatism-is-not-about-leaving-people-behind-conservatism-is-about/) [Marco Rubio](https://sms4smile.com/quotes/author/marco-rubio/) > [And the seasons they go 'round and 'round And the painted ponies go up and down We're captive on the carousel of time We…](https://sms4smile.com/quotes/joni-mitchell/and-the-seasons-they-go-round-and-round-and-the-painted-ponies-go-up/) [Joni Mitchell](https://sms4smile.com/quotes/author/joni-mitchell/) > [It is worthwhile for anyone to have behind him a few generations of honest, hard-working ancestry.](https://sms4smile.com/quotes/anonymous/it-is-worthwhile-for-anyone-to-have-behind-him-a-few-generations-of/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [I'm really thankful to God, man. Like now, I'm really making a real comeback with my group. With or without a record, with or…](https://sms4smile.com/quotes/ike-turner/i-m-really-thankful-to-god-man-like-now-i-m-really-making-a-real/) [Ike Turner](https://sms4smile.com/quotes/author/ike-turner/) > [Empires fall, ids explode, great symphonies are written, and behind all of it is a single instinct that demands satisfaction.](https://sms4smile.com/quotes/sherwin-b-nuland/empires-fall-ids-explode-great-symphonies-are-written-and-behind-all/) [Sherwin B. Nuland](https://sms4smile.com/quotes/author/sherwin-b-nuland/) > [ Just between you and me, shouldn’t the World Bank be encouraging MORE migration of the dirty industries to the LDCs \[Less Developed Countries\]?... I… ](https://sms4smile.com/quotes/lawrence-summers/just-between-you-and-me-shouldn-t-the-world-bank-be-encouraging-more/) [Lawrence Summers](https://sms4smile.com/quotes/author/lawrence-summers/) > [After a few mouthfuls of moon-flavored air, even the stubbornly drowsy can find themselves wide-eyed.. All the normal noises of life were gone, leaving…](https://sms4smile.com/quotes/n-d-wilson/after-a-few-mouthfuls-of-moon-flavored-air-even-the-stubbornly-drowsy/) [N.D. Wilson](https://sms4smile.com/quotes/author/n-d-wilson/) [Browse all 6,789 Behinds quotes ](https://sms4smile.com/quotes/about/behinds/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "In mathematical quarters, the regular division of the plane has been considered theoretically. ... [Mathematicians] have opened the gate leading to an extensive domain, but they have not entered this domain themselves. By their very nature they are more interested in the way in which the gate is opened than in the garden lying behind it.", "creator": { "@type": "Person", "name": "M. C. 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