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Art & Math

Do art and math have anything in common? In these lessons, students will explore the intersection of math and art in the works of two artists and one architect for whom mathematical concepts (lines, angles, two-dimensional shapes and three-dimensional polyhedra, fractions, ratios, and permutations) and geometric forms were fundamental. For more information about the National Gallery of Art's Teacher Resources, please visit www.nga.gov/teachers
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National Gallery of Art
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a piece of wood that has been cut into squares on the side of a wall

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Copper Tiles 4
Carl Rungius Art
Real Copper Tiles
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Carl Andre, "Forty-Nine Small Copper Cardinal," 1975 #Andre #Math #art #artsintegration #steam
an orange and red square with white lines

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Josef Albers Wls X Print
Josef Albers Homage To The Square Meaning
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Josef Albers Red And Orange
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Josef Albers Concentric Squares
Josef Albers Mma-2 Print
Josef Albers Homage To The Square
Artwork: Josef Albers, Gemini G.E.L. James Webb, "White Line Square XII," 1966, color lithograph on Arches Cover paper #art #math #k12 #teachers
an upside down photo of a cityscape with buildings and streets in the background

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Triangle With Three Rectangles On The Sides
Half Rectangle Triangles
Triangle-shaped Glass Panel
Triangle-shaped Gemstone With Quarter
Two Dimensional Shapes
Art Teacher Resources
Richard Tuttle
Sol Lewitt
Gelatin Silver Print
What is the ratio of the removed rectangle in this image to the ratio of the larger triangle? What are the real-life intersections at the corners of the rectangles? What might the artist have been trying to map? Does the shape of the triangle remind you of any place(s) that you might see on a map? Sol LeWitt, "A Triangle of Manhattan without a Rectangle," 1978, gelatin silver print with rectangle cut out of center #art #math #teachers #k12
an old coin with some writing on the front and back side, sitting against a black background

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Antique Bronze Celestial Globe Plaque
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Roman Celestial Globe
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Artwork: Pisanello, "Sphere Representing Earth, Sea, and Sky [reverse]," c. 1448/1449, bronze #art #math #teachers #k12
an old black and white photo of the outside of a building with barbed wire on it

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Thomas Barrow
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Artwork: Thomas Barrow, "Tri-arch [From the series Cancellations]," 1974-1978, gelatin silver print #art #math #teachers #k12 #artsed
a white background with black, yellow, and red squares in the shape of a square

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Mondrian Lozenge With Four Lines
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Artwork: Piet Mondrian, "Tableau No. IV; Lozenge Composition with Red, Gray, Blue, Yellow, and Black," c. 1924/1925, oil on canvas #art #math #geometry #teachers #k12
a black and white cube is hanging on the wall

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What does convex mean? Mel Bochner, "Convex Perspective," 1967, gelatin silver print, printed c. 1991 #art #math #teachers #k12
an image of some kind of art that looks like a spiral structure with red balls in it

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M.c. Escher Mind-bending Artwork
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M.C. Escher, "Mobius Strip II," 1963, woodcut in red, black and gray-green, printed from three blocks #art #math #artsed #k12 #teachers
an image of a poster with the number five in it's center and blue, red, and orange colors

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Penta Number
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Robert Indiana, "Pentagon," 1975, color screenprint on wove Arches paper #art #math #k12 #artsintegration #teachers
an abstract painting with different colors and shapes on the table next to it is a pencil

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3d Cylinder Geometry
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Ronald Davis, Gemini G.E.L., 'Dodecagon Cylinder and Cube," published 1974, 23-color screenprint on Arches 88 paper #k12 #art #math #teachers #artsintegration
Folding screen activity: Have students fold two sheets of heavy paper or cardboard like an accordion, each with six “panels” to create a folding screen. Using colored pencils, pens, and markers, they can create scenes that continue across both panels. Kusumi Morikage (c. 1620 – 1690), Rice Cultivation in the Four Seasons, detail from six-panel screens; ink and light color on paper Each 151 x 347 (591/2 x 1365/8), courtesy of Kyoto National Museum. Important Cultural Property #k12 #teachers #art Japanese Wood Screen With Birds, Chinese Landscape Painting Screen, Vintage Chinese Wallpaper Panels, Kano School Painting, Asian Birds Chinese Japanese Wallpaper, Kano Eitoku, Traditional Japanese Screen With Birds, Kano Tanyu, Antique Japanese Four Panel Screen

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Japanese Wood Screen With Birds
Chinese Landscape Painting Screen
Vintage Chinese Wallpaper Panels
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Antique Japanese Four Panel Screen
Folding screen activity: Have students fold two sheets of heavy paper or cardboard like an accordion, each with six “panels” to create a folding screen. Using colored pencils, pens, and markers, they can create scenes that continue across both panels. Kusumi Morikage (c. 1620 – 1690), Rice Cultivation in the Four Seasons, detail from six-panel screens; ink and light color on paper Each 151 x 347 (591/2 x 1365/8), courtesy of Kyoto National Museum. Important Cultural Property #k12 #teachers...
an abstract sculpture in the middle of a grassy area

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Tony Smith
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Art + math lesson ideas: What would you name this work of art? Students will identify polygons and angles in Tony Smith’s sculpture Moondog, then they will create a sculpture with polyhedra nets and calculate the cost of covering the sculpture in gold. Tony Smith, "Moondog," model 1964, fabricated 1998–1999 #Smith #Teachers #K12 #art #math #artsintegration #steam
several headstones in the grass with trees in the background

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Scott Burton Furniture Design
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Artwork: Artist Scott Burton believed that art should "place itself not in front of, but around, behind, underneath (literally) the audience." In this way, he challenged ideas about sculpture's monumentality, formality, and status as an object to be looked at on a pedestal. Scott Burton, "Six-Part Seating,"conceived 1985, fabricated 1998 #Burton #Geometry #art #math #artsintegration
an abstract painting with different colors and shapes on the bottom half of it, including pink, blue, green, orange, and yellow

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Artwork: Bill Max, "Radiation from White," 1979 #Max #Geometry #math #art #artsintegration
an empty room with blue and yellow lights on the walls, in front of a white wall

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Artwork: Dan Flavin, "Untitled (to Barnett Newman to commemorate his simple problem, red, yellow and blue), " 1970 #Flavin #Geometry #math #art #artsintegration