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 object, made of three straigh of square cross- se ction whi pairwise at right angles at t vertices of the triangle they This combination of propertie be realized by any 3-dimensi object in ordinary Euclidean Such an object can exist in c ucli de an 3-manifolds. Ther xist 3-dimensional solid sh of which, when viewed from a angl e , app ears the sam e as t 2-dimensional depiction of t Penrose triangle on this pag te rm " Penrose triang le " can the 2-dimensional depiction impossible obj ec t itse lf. M .C . lithograph Waterfall depict

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 object, made of three straighof square cross-section whi

pairwise at right angles at tvertices of the triangle theyThis combination of propertie be realized by any 3-dimensiobject in ordinary EuclideanSuch an object can exist in cuclidean 3-manifolds. Ther

xist 3-dimensional solid shof which, when viewed from aangle, appears the same as t2-dimensional depiction of tPenrose triangle on this pagterm " Penrose triangle" canthe 2-dimensional depiction

mpossible object itself. M .C .lithograph Waterfall depict

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rinciple Construction

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Spaghetti Fusilli

Cannelloni Casoncelli

RR

RTortelloni

RR

R

tyles

~ are ring-shaped pasta. They aretypically stuffed with a mix ofmeat (pork loin, prosciutto) orcheese, they are usually servedin broth, either of beef,chicken, or both .

Tortellini

~ are a cylindrical type ofpasta generally served bakedwith a filling and covered by asauce. The stuffing mayinclude spinach and variouskinds of meat .

~ is a long, thin , cylindricalpasta. Spaghetti is the pluralform of the Italian wordspaghetto , which is adiminutive of spago, meaning"thin string" or "twine" .

~ are kind of stuffed pasta,typical of the culinarytradition of Lombardy . Theshell consists of two sheets ofpasta, about 4 cm long,pressed together at the edges.

~ are long, thick, corkscrewshaped pasta. it is "spun" bypressing and rolling a smallrod over the thin strips ofpasta to wind them around itin a corkscrew shape .

~ are the same as tortellini,but larger. They are usuallystuffed with ricotta andvegetables, such as spinach.Another common filling is apaste made of pumpkin pulp

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The 

Penrose triangle is an impossible object. Itwas first created by theSwedish artist Oscar

Reutersvärd in 1934.The mathematician RogerPenrose  independentlydevised and popularised itin the 1950s, describing itas "impossibility in itspurest form". It is featured

prominently in the worksof artist M. C . Escher,whose earlier depictionsof impossible objectspartly inspired it

pecial characters Styles in text

Triangle Double triangle

Pentagram Hexagram

Square Coeur

Möbius barLoop

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ayering Two-tone combinations

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haracter set / Spaghetti

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haracter set / Fusilli

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haracter set / Cannelloni

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haracter set / Casoncelli

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haracter set / Tortellini

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haracter set / Tortelloni

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ext samples

paghetti / 9pt

his combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space .uch an object can exist in certain Euclidean 3-manifolds. There also exist 3-dimensional solid shapes eachf which, when viewed from a certain angle, appears the same as the 2-dimensional depiction of the Penroseriangle on this page. The term "Penrose triangle" can refer to the 2-dimensional depiction or the impossiblebject itself. M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the longides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resulting

waterfall, forming the short sides of both t riangles, drives a water wheel. Escher helpfully points out thatn order to keep the wheel turning some water must occasionally be added to compensate for evaporation. a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.

paghetti / 18pt

This combination of properties cannot be realized byany 3-dimensional object in ordinary Euclideanspace. Such an object can exist in certain Euclidean3-manifolds. There also exist 3-dimensional solid

shapes each of which, when viewed from a certainangle, appears the same as the 2-dimensionaldepiction of the Penrose triangle on this page. Theterm "Penrose triangle" can refer to the2-dimensional depiction or the impossible object

paghetti / 36pt

This combination ofproperties cannot berealized by any3-dimensional object inordinary Euclidean space.Such an object can existin certain Euclidean3-manifolds. There alsoexist 3-dimensional solid

Fusilli / 9pt

This combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space .Such an object can exist in certain Euclidean 3-manifolds. There also exist 3-dimensional solid shapes eachof which, when viewed from a certain angle, appears the same as the 2-dimensional depiction of the Penrosetriangle on this page. The term "Penrose triangle" can refer to the 2-dimensional depiction or the impossibleobject itself. M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the longsides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resultingwaterfall, forming the short sides of both t riangles, drives a water wheel. Escher helpfully points out thatin order to keep the wheel turning some water must occasionally be added to compensate for evaporation.If a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.

Fusilli / 18pt

This combination of properties cannot be realized byany 3 -dimensional object in ordinary Euclideanspace. Such an object can exist in certain Euclidean3-manifolds. There also exist 3-dimensional solid

shapes each of which, when viewed from a certainangle, appears the same as the 2-dimensionaldepiction of the Penrose triangle on this page. Theterm " Penrose triangle" can refer to the2-dimensional depiction or the impossible objectFusilli / 36pt

This combination ofproperties cannot berealized by any3-dimensional object in

ordinary Euclidean space.Such an object can existin certain Euclidean3-manifolds. There alsoexist 3-dimensional solid

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annelloni / 9pt

his combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space .uch an object can exist in certain Euclidean 3-manifolds. There also exist 3-dimensional solid shapes eachf which, when viewed from a certain angle, appears the same as the 2-dimensional depiction of the Penroseriangle on this page. The term "Penrose triangle" can refer to the 2-dimensional depiction or the impossiblebject itself. M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the longides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resulting

waterfall, forming the short sides of both t riangles, drives a water wheel. Escher helpfully points out thatn order to keep the wheel turning some water must occasionally be added to compensate for evaporation. a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.

annelloni / 18pt

This combination of properties cannot be realized byany 3-dimensional object in ordinary Euclideanspace. Such an object can exist in certain Euclidean3-manifolds. There also exist 3-dimensional solid

shapes each of which, when viewed from a certainangle, appears the same as the 2-dimensionaldepiction of the Penrose triangle on this page. Theterm "Penrose triangle" can refer to the2-dimensional depiction or the impossible object

annelloni / 36pt

This combination ofproperties cannot berealized by any3-dimensional object inordinary Euclidean space.Such an object can existin certain Euclidean3-manifolds. There alsoexist 3-dimensional solid

Casoncelli / 9pt

This combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space .Such an object can exist in certain Euclidean 3-manifolds. There also exist 3-dimensional solid shapes eachof which, when viewed from a certain angle, appears the same as the 2-dimensional depiction of the Penrosetriangle on this page. The term "Penrose triangle" can refer to the 2-dimensional depiction or the impossibleobject itself. M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the longsides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resultingwaterfall, forming the short sides of both t riangles, drives a water wheel. Escher helpfully points out thatin order to keep the wheel turning some water must occasionally be added to compensate for evaporation.If a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.

Casoncelli / 18pt

This combination of properties cannot be realized byany 3-dimensional object in ordinary Euclideanspace. Such an object can exist in certain Euclidean3-manifolds. There also exist 3-dimensional solid

shapes each of which, when viewed from a certainangle, appears the same as the 2-dimensionaldepiction of the Penrose triangle on this page. Theterm "Penrose triangle" can refer to the2-dimensional depiction or the impossible objectCasoncelli / 36pt

This combination ofproperties cannot berealized by any3-dimensional object inordinary Euclidean space.Such an object can existin certain Euclidean3-manifolds. There alsoexist 3-dimensional solid

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ortellini / 9pt

his combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space .uch an object can exist in certain Euclidean 3-manifolds. There also exist 3-dimensional solid shapes eachf which, when viewed from a certain angle, appears the same as the 2-dimensional depiction of the Penroseriangle on this page. The term "Penrose triangle" can refer to the 2-dimensional depiction or the impossiblebject itself. M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the longides of two elongated Penrose triangles, so that it ends up two stories higher than it began. The resulting

waterfall, forming the short sides of both t riangles, drives a water wheel. Escher helpfully points out thatn order to keep the wheel turning some water must occasionally be added to compensate for evaporation. a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.

ortellini / 18pt

This combination of properties cannot be realized byany 3 -dimensional object in ordinary Euclideanspace. Such an object can exist in certain Euclidean3-manifolds. There also exist 3-dimensional solid

shapes each of which, when viewed from a certainangle, appears the same as the 2-dimensionaldepiction of the Penrose triangle on this page. Theterm " Penrose triangle" can refer to the2-dimensional depiction or the impossible object

ortellini / 36pt

This combination ofproperties cannot berealized by any3-dimensional object in

ordinary Euclidean space.Such an object can existin certain Euclidean3-manifolds. There alsoexist 3-dimensional solid

Tortelloni / 9pt

This combination of properties cannot be realized by any 3-dimensional object in ordinary Euclidean space.Such an object can exist in certain Euclidean 3-manifolds. T here also exist 3-dimensional solid shapes eachof which, when viewed from a certain angle, appears the same as the 2-dimensional depiction of the Penrosetriangle on this page. The term " Penrose triangle" can refer to t he 2-dimensional depiction or the impossibleobject itself. M.C. Escher's lithograph Waterfall depicts a watercourse that flows in a zigzag along the longsides of two elongated Penrose triangles, so t hat it ends up two stories higher than it began. The resultingwaterfall, forming the short sides of both t riangles, drives a water wheel. Escher helpfully points out thatin order to keep the wheel turning some water must occasionally be added to compensate for evaporation .If a line is traced around the Penrose triangle, a 3-loop Möbius strip is formed.

Tortelloni / 18pt

This combination of properties cannot be realized byany 3-dimensional object in ordinary Euclideanspace. Such an object can exist in certain Euclidean3-manifolds. There also exist 3-dimensional solid

shapes each of which, when viewed from a certainangle, appears the same as the 2-dimensionaldepiction of the Penrose triangle on this page. Theterm "Penrose triangle" can refer to the2-dimensional depiction or the impossible objectTortelloni / 36pt

This combination ofproperties cannot berealized by any3-dimensional object in

ordinary Euclidean space .Such an object can existin certain Euclidean3-manifolds. There alsoexist 3-dimensional solid

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©Design

Márton Hegedű[email protected]

Frustro

· Spaghetti· Cannelloni· Tortellini

· Fusilli· Casoncelli· Tortelloni

Publishing

Die Gestalten Verlag GmbH & Co. [email protected] 2014