Art

The National Museum of American History is not an art museum. But works of art fill its collections and testify to the vital place of art in everyday American life. The ceramics collections hold hundreds of examples of American and European art glass and pottery. Fashion sketches, illustrations, and prints are part of the costume collections. Donations from ethnic and cultural communities include many homemade religious ornaments, paintings, and figures. The Harry T Peters "America on Stone" collection alone comprises some 1,700 color prints of scenes from the 1800s. The National Quilt Collection is art on fabric. And the tools of artists and artisans are part of the Museum's collections, too, in the form of printing plates, woodblock tools, photographic equipment, and potters' stamps, kilns, and wheels.

The Belgian physicist Joseph Plateau (1801–1883) performed a sequence of experiments using soap bubbles. One investigation led him to show that when two soap bubbles join, the two exterior surfaces and the interface between the two bubbles will all be spherical segments.
Description
The Belgian physicist Joseph Plateau (1801–1883) performed a sequence of experiments using soap bubbles. One investigation led him to show that when two soap bubbles join, the two exterior surfaces and the interface between the two bubbles will all be spherical segments. Furthermore, the angles between these surfaces will be 120 degrees.
Crockett Johnson's painting illustrates this phenomenon. It also displays Plateau's study of the situation that arises when three soap bubbles meet. Plateau discovered that when three bubbles join, the centers of curvature (marked by double circles in the figure) of the three overlapping surfaces are collinear.
This painting was most likely inspired by a figure located in an article by C. Vernon Boys entitled "The Soap-bubble." James R. Newman included this essay in his book entitled The World of Mathematics (p. 900). Crockett Johnson had this publication in his personal library, and the figure in his copy is annotated.
The artist chose several pastel shades to illustrate his painting. This created a wide range of shades and tints that allows the painting to appear three-dimensional. Crockett Johnson chose to depict each sphere in its entirety, rather than showing just the exterior surfaces as Boys did. This helps the viewer visualize Plateau's experiment.
This painting was executed in oil on masonite and has a wood and chrome frame. It is #23 in the series. It was completed in 1966 and is signed: CJ66. It is marked on the back: Crockett Johnson 1966 (/) GEOMETRY OF A TRIPLE BUBBLE (/) (PLATEAU).
Location
Currently not on view
date made
1966
referenced
Plateau, Joseph
painter
Johnson, Crockett
ID Number
1979.1093.17
catalog number
1979.1093.17
accession number
1979.1093
Those making mathematical instruments for surveying, navigation, or the classroom have long been interested in creating equal divisions of the circle. Ancient geometers knew how to divide a circle into 2, 3, or 5 parts, and as well as into multiples of these numbers.
Description
Those making mathematical instruments for surveying, navigation, or the classroom have long been interested in creating equal divisions of the circle. Ancient geometers knew how to divide a circle into 2, 3, or 5 parts, and as well as into multiples of these numbers. For them to draw polygons with other numbers of sides required more than a straightedge and compass.
In 1796, as an undergraduate at the University of Göttingen, Friedrich Gauss proposed a theorem severely limiting the number of regular polygons that could be constructed using ruler and compass alone. He also found a way of constructing the 17-gon.
Crockett Johnson, who himself would develop a great interest in constructing regular polygons, drew this painting to illustrate Gauss's discovery. His painting follows a somewhat later solution to the problem presented by Karl von Staudt in 1842, modified by Heinrich Schroeter in 1872, and then published by the eminent mathematician Felix Klein. Klein's detailed account was in Crockett Johnson's library, and a figure from it is heavily annotated.
This oil painting on masonite is #70 in the series. It is signed: CJ69. The back is marked: SEVENTEEN SIDES (GAUSS) (/) Crockett Johnson 1969. The painting has a black background and a wood and metal frame. There are two adjacent purple triangles in the center, with a white circle inscribed in them. The triangles have various dark gray regions, and the circle has various light gray regions and one dark gray segment. The length of the top edge of this segment is the chord of the circle corresponding to length of the side of an inscribed 17-sided regular polygon.
Reference: Felix Klein, Famous Problems of Elementary Geometry (1956), pp. 16–41, esp. 41.
Location
Currently not on view
date made
1969
referenced
Gauss, Carl Friedrich
painter
Johnson, Crockett
ID Number
1979.1093.45
accession number
1979.1093
catalog number
1979.1093.45
This pen-and-ink drawing produced for the Dotty Dripple comic strip shows the title character’s son rushing back to college, leaving her with empty-nest syndrome.Buford Tune (1906-1989) started working as an assistant to the art editor of the New York Post in 1927.
Description (Brief)
This pen-and-ink drawing produced for the Dotty Dripple comic strip shows the title character’s son rushing back to college, leaving her with empty-nest syndrome.
Buford Tune (1906-1989) started working as an assistant to the art editor of the New York Post in 1927. One of his first assignments was to revive an old family comic strip called Doings of the Duffs. After a brief hiatus Tune returned to comic strip production in 1931. He created Dotty Dripple in 1944.
Dotty Dripple (1944-1974) was a domestic humor-themed comic strip like the popular Blondie strip. Dottie was described as a typical housewife responsible for her children, Taffy and Wilbert; her dog, Pepper; and her husband, Horace. Part of the running humor of the strip was that Horace was often seen behaving like a child himself. Between 1946 and 1955 the strip was also sold in comic book form by Harvey Comics.
Location
Currently not on view
date made
1966-09-12
graphic artist
Tune, Buford
publisher
Publishers Newspapers Syndicate, Inc.
ID Number
GA.22530
catalog number
22530
accession number
277502
In the 17th century, the natural philosophers Isaac Newton and Gottfried Liebniz developed much of the general theory of the relationship between variable mathematical quantities and their rates of change (differential calculus), as well as the connection between rates of change
Description
In the 17th century, the natural philosophers Isaac Newton and Gottfried Liebniz developed much of the general theory of the relationship between variable mathematical quantities and their rates of change (differential calculus), as well as the connection between rates of change and variable quantities (integral calculus).
Newton called these rates of change "fluxions." This painting is based on a diagram from an article by H. W. Turnbull in Newman's The World of Mathematics. Here Turnbull described the change in the variable quantity y (OM) in terms of another variable quantity, x (ON). The resulting curve is represented by APT.
Crockett Johnson's painting is based loosely on these mathematical ideas. He inverted the figure from Turnbull. In his words: "The painting is an inversion of the usual textbook depiction of the method, which is one of bringing together a fixed part and a ‘moving’ part of a problem on a cartesian chart, upon which a curve then can be plotted toward ultimate solution."
The arc at the center of this painting is a circular, with a tangent line below it. The region between the arc and the tangent is painted white. Part of the tangent line is the hypotenuse of a right triangle which lies below it and is painted black. The rest of the lower part of the painting is dark purple. Above the arc is a dark purple area, above this a gray region. The painting has a wood and metal frame.
This oil painting on pressed wood is #20 in the series. It is unsigned, but inscribed on the back: Crockett Johnson 1966 (/) FLUXIONS (NEWTON).
References: James R. Newman, The World of Mathematics (1956), p. 143. This volume was in the library of Crockett Johnson. The figure on this page is annotated.
Crockett Johnson, "On the Mathematics of Geometry in My Abstract Paintings," Leonardo, 5 (1972): pp. 97–8.
Location
Currently not on view
date made
1966
referenced
Newton, Isaac
painter
Johnson, Crockett
ID Number
1979.1093.14
catalog number
1979.1093.14
accession number
1979.1093
Mathematicians have explored the properties of polyhedra since ancient times, but it was the Swiss scholar Leonhard Euler (1707–1783) who proved the formula V-E+F = 2. That is, for a simple convex polyhedron (e.g.
Description
Mathematicians have explored the properties of polyhedra since ancient times, but it was the Swiss scholar Leonhard Euler (1707–1783) who proved the formula V-E+F = 2. That is, for a simple convex polyhedron (e.g. one with no holes, so that it can be deformed into a sphere) the number of vertices minus the number of edges plus the number of faces is two. An equivalent formula had been presented by Descartes in an unpublished treatise on polyhedra. However, this formula was first proved and published by Euler in 1751 and bears his name.
Crockett Johnson's painting echoes a figure from a presentation of Euler's formula found in Richard Courant and Herbert Robbins's article “Topology,” which is in James R. Newman's The World the Mathematics (1956), p. 584. This book was in the artist’s library, but the figure that relates to this painting is not annotated.
To understand the painting we must understand the mathematical argument. It starts with a hexahedron, a simple, six-sided, box-shaped object. First, one face of the hexahedron is removed, and the figure is stretched so that it lies flat (imagine that the hexahedron is made of a malleable substance so that it can be stretched). While stretching the figure can change the length of the edges and the area and shape of the faces, it will not change the number of vertices, edges, or faces.
For the "stretched" figure, V-E+F = 8 - 12 + 5 = 1, so that, if the removed face is counted, the result is V-E+F = 2 for the original polyhedron. The next step is to triangulate each face (this is indicated by the diagonal lines in the third figure). If, in triangle ABC [C is not shown in Newman, though it is referred to], edge AC is removed, the number of edges and the number of faces are both reduced by one, so V-E+F is unchanged. This is done for each outer triangle.
Next, if edges DF and EF are removed from triangle DEF, then one face, one vertex, and two edges are removed as well, and V-E+F is unchanged. Again, this is done for each outer triangle. This yields a rectangle from which a right triangle is removed. Again, this will leave V-E+F unchanged. This last step will also yield a figure for which V-E+F = 3-3+1. As previously stated, if we count the removed face from the initial step, then V-E+F = 2 for the given polyhedron.
The “triangulated” diagram was the one Crockett Johnson chose to paint. Each segment of the painting is given its own color so as to indicate each step of the proof. Crockett Johnson executed the two right triangles that form the center rectangle in the most contrasting hues. This draws the viewer’s eyes to this section and thus emphasizes the finale of Euler's proof. This approach to the proof of Euler's polyhedral formula was pioneered by the French mathematician Augustin Louis Cauchy in 1813.
This oil painting on masonite is #39 in the series. It was completed in 1966 and is signed: CJ66. It is inscribed on the back: Crockett Johnson 1966 (/) POLYHEDRON FORMULA (EULER). It has a wood and chrome frame.
Reference:
David Richeson, “The Polyhedral Formula,” in Leonhard Euler: Life, Work and Legacy, editors R. E. Bradley and C. E. Sandifer (2007), pp. 431–34.
Location
Currently not on view
date made
1966
referenced
Euler, Leonhard
painter
Johnson, Crockett
ID Number
1979.1093.27
catalog number
1979.1093.27
accession number
1979.1093
This pen-and-ink drawing prepared for the Moon Mullins comic strip shows Mullins going to a therapist because he's being seen as procrastinating at work. The session is unsuccessful, however, as Mullins persists in his easygoing work habits.
Description (Brief)
This pen-and-ink drawing prepared for the Moon Mullins comic strip shows Mullins going to a therapist because he's being seen as procrastinating at work. The session is unsuccessful, however, as Mullins persists in his easygoing work habits. Included in this story board is Ferd Johnson's "topper" strip Kitty Higgins, about the young and clever girl who later became a Moon Mullins character.
Ferdinand "Ferd" Johnson (1905-1996) took a job in 1923 assisting on Frank Willard's new comic strip Moon Mullins. In 1925 Johnson started drawing his own Sunday comic called Texas Slim, and a few years later he launched Lovey-Dovey. In 1958 Johnson took over Moon Mullins which he continued until its cancellation in 1991.
Moon Mullins (1923-1991) was about a hard-living, would-be prizefighter nicknamed Moon. The strip offered storylines and personality characteristics which were appealing to readers during the Prohibition era. Moon Mullins was reinterpreted as a radio show and was regularly included as an animated television presentation on the 1970s Saturday morning cartoon program Archie’s TV Funnies.
Location
Currently not on view
date made
1961-10-22
graphic artist
Johnson, Ferd
publisher
News Syndicate Co., Inc.
ID Number
GA.22589
catalog number
22589
accession number
277502
This pen-and-ink drawing produced for the Blondie comic strip shows the title character cooking a big dinner for her family, which they all enjoy and praise.
Description (Brief)
This pen-and-ink drawing produced for the Blondie comic strip shows the title character cooking a big dinner for her family, which they all enjoy and praise. Blondie is left disappointed when everybody disappears once it comes time to clean up.
Murat Bernard "Chic" Young (1901-1973) began working as a comic artist in 1921 on the strip The Affairs of Jane. The strip was published by the Newspaper Enterprise Association. A few years later Young was hired by King Features Syndicate to draw the strip Dumb Dora, which ran until 1935. Young had modest success with other strips, but his debut of Blondie in 1930 far overshadowed his other artistic products. He drew the strip until his death in 1973.
Blondie (1930- ) is portrayed as a sweet, if not featherbrained, young woman whose 1933 marriage to the affluent Dagwood Bumstead made national news. The strip followed the young couple after Bumstead’s parents disowned him because of their aversion to Blondie. The strip continued to gain in popularity after the introduction of Blondie and Dagwood’s two children, Alexander and Cookie.
Location
Currently not on view
date made
1966-02-24
publisher
King Features Syndicate
ID Number
GA.22395
catalog number
22395
accession number
277502
Mr. Merryweather, created and drawn by Dick Turner (1909-1999), was a companion strip to his other comic, Carnival. The comic was distributed by the Newspaper Enterprise Association from 1940-1972.
Description
Mr. Merryweather, created and drawn by Dick Turner (1909-1999), was a companion strip to his other comic, Carnival. The comic was distributed by the Newspaper Enterprise Association from 1940-1972. The comic was based on the humor and humiliations of everyday life in a small town. In this strip, Mr. Merryweather deals with restaurant culture in five individual gag-joke panels.
Location
Currently not on view
date made
06/19/1966
publisher
NEA, Inc.
graphic artist
Turner, Dick
ID Number
GA.22525
catalog number
22525
accession number
277502
With her camera, Lisa Law documented history in the heart of the counterculture revolution of the 1960s as she lived it, as a participant, an agent of change and a member of the broader culture.
Description
With her camera, Lisa Law documented history in the heart of the counterculture revolution of the 1960s as she lived it, as a participant, an agent of change and a member of the broader culture. She recorded this unconventional time of Anti-War demonstrations in California, communes, Love-Ins, peace marches and concerts, as well as her family life as she became a wife and mother. The photographs were collected by William Yeingst and Shannon Perich in a cross-unit collecting collaboration. Together they selected over two hundred photographs relevant to photographic history, cultural history, domestic life and social history.
Law’s portraiture and concert photographs include Bob Dylan, The Beatles, Lovin Spoonful and Peter, Paul and Mary. She also took several of Janis Joplin and her band Big Brother and the Holding Company, including the photograph used to create the poster included in the Smithsonian’s American Art Museum’s exhibition 1001 Days and Nights in American Art. Law and other members of the Hog Farm were involved in the logistics of setting up the well-known musical extravaganza, Woodstock. Her photographs include the teepee poles going into the hold of the plane, a few concert scenes and amenities like the kitchen and medical tent. Other photographs include peace rallies and concerts in Haight-Ashbury, Coretta Scott King speaking at an Anti-War protest and portraits of Allen Ginsburg and Timothy Leary. From her life in New Mexico the photographs include yoga sessions with Yogi Bhajan, bus races, parades and other public events. From life on the New Buffalo Commune, there are many pictures of her family and friends taken during meal preparation and eating, farming, building, playing, giving birth and caring for children.
Ms. Law did not realize how important her photographs were while she was taking them. It was not until after she divorced her husband, left the farm for Santa Fe and began a career as a photographer that she realized the depth of history she recorded. Today, she spends her time writing books, showing her photographs in museums all over the United States and making documentaries. In 1990, her video documentary, “Flashing on the Sixties,” won several awards.
A selection of photographs was featured in the exhibition A Visual Journey: Photographs by Lisa Law, 1964–1971, at the National Museum of American History October 1998-April 1999.
Location
Currently not on view
date made
1967
date printed
1998
maker
Law, Lisa Bachelis
ID Number
1998.0139.081
accession number
1998.0139
catalog number
1998.0139.081
Mary Worth, also titled Mary Worth's Family during the early 1940s, was famously drawn by Ken Ernst and written by Allen Saunders during the 1960s-1980s. It continues to be distributed by King Features Syndicate, although with new artists and writers.
Description
Mary Worth, also titled Mary Worth's Family during the early 1940s, was famously drawn by Ken Ernst and written by Allen Saunders during the 1960s-1980s. It continues to be distributed by King Features Syndicate, although with new artists and writers. The strip features the title character Mary, a former teacher and widow, in a soap-opera style storyline including the drama surrounding her apartment house neighbors. In this strip, Tony tries to divert Avonne's afternoon plans by asking his mother to serve his friends lunch, even though it is her afternoon off.
Location
Currently not on view
date made
08/21/1966
graphic artist
Ernst, Ken
maker
Saunders, John Allen
publisher
Publishers Newspapers Syndicate, Inc.
ID Number
GA.22450
catalog number
22450
accession number
277502
This pen-and-ink drawing, prepared for the Gasoline Alley newspaper comic strip, shows character Walt Wallet being scolded for trying to walk Effie home.
Description (Brief)
This pen-and-ink drawing, prepared for the Gasoline Alley newspaper comic strip, shows character Walt Wallet being scolded for trying to walk Effie home. She waves goodbye, but Wallet sees little hope in her attentions.
Richard Arnold "Dick" Moores (1909-1986) worked as an assistant to Chester Gould on the Dick Tracy comic strip early in his career. Moores continued to work on other strips and branched out into animation and comic book illustration, working on titles such as Mickey Mouse, Scamp, Donald Duck, and Alice in Wonderland. In 1956 Frank King asked Moores to assist on the daily strip Gasoline Alley, which Moores took over completely after King’s retirement in 1959. When the Sunday artist for Gasoline Alley retired in 1975, Moores took over that work as well, and continued drawing the strip until his death in 1986.
Gasoline Alley (1918- ) originated on a black-and-white Sunday page for The Chicago Tribune called The Rectangle, a collaborative page with contributions by different artists. One corner of "The Rectangle," drawn by Frank King, was devoted to the discussions between four men about their cars, an impetus for the name of the strip Gasoline Alley. Within a year the strip began appearing in the daily newspapers. Gasoline Alley, whose original characters included Walt, Doc, Avery, Bill, and Skeezix, is noted for its use of characters who have continued to age naturally.
Location
Currently not on view
date made
1966-08-13
graphic artist
Moores, Dick
King, Frank
publisher
Tribune Printing Company
ID Number
GA.22550
catalog number
22550
accession number
277502
This pen-and-ink drawing produced for the Abbie an’ Slats comic strip shows Kit trying to irritate Miss Abbie by proposing to host a party and to demolish Miss Abbie’s apartment.Raeburn Van Buren (1891-1987) started his career as a freelance illustrator for magazines such as Life
Description (Brief)
This pen-and-ink drawing produced for the Abbie an’ Slats comic strip shows Kit trying to irritate Miss Abbie by proposing to host a party and to demolish Miss Abbie’s apartment.
Raeburn Van Buren (1891-1987) started his career as a freelance illustrator for magazines such as Life and The Saturday Evening Post. He quickly became one of the country’s most recognized magazine illustrators and eventually began drawing for Esquire and The New Yorker as well. In 1937 fellow artist Al Capp approached Van Buren with an offer to draw Capp's new comic strip, Abbie an’ Slats. Van Buren drew the strip until his retirement in 1971.
Abbie an’ Slats (1937-1971) was a story about a young orphaned boy from New York, Slats, who goes to live in the country with a spinster cousin named Abbie. Slats is headstrong and rebellious, and often disagrees with Abbie and her straight-laced sister, Sally.
Location
Currently not on view
date made
1966-08-23
graphic artist
Van Buren, Raeburn
publisher
United Feature Syndicate, Inc.
graphic artist
Capp, Al
ID Number
GA.22457
catalog number
22457
accession number
277502
Classical Greek mathematicians were able to square all convex polygons. That is, given any polygon, they could produce a square of equal area in a finite number of steps using only a compass and a straight edge. Figures with curved sides proved more difficult.
Description
Classical Greek mathematicians were able to square all convex polygons. That is, given any polygon, they could produce a square of equal area in a finite number of steps using only a compass and a straight edge. Figures with curved sides proved more difficult. However, as this painting suggests, the mathematician Hippocrates of Chios (5th century BC) squared a lune, a figure bounded by arcs of two circle with different radii (lunes resemble quarter moons, hence the name). Finding the area of a lune in terms of a square might seem more difficult than squaring a circle, but the latter problem would prove intractable.
The painting follows annotated figures in Evans G. Valens's The Number of Things (1964), p.103, which was part of Crockett Johnson's mathematical library. It corresponds to an early diagram in Valens's discussion of squaring the circle. According to Valens, Hippocrates began by arguing that the areas of similar segments of different circles are in the same ratio as the squares of their bases. Suppose an isosceles right triangle is inscribed in a semicircle of diameter c. Construct smaller semicircles of diameter a and b on the sides of the inscribed triangle. As the square of a plus the square of b equals the square of c, the area of the two smaller semicircles equals that of the large one. The proof goes on to consider the area of the two crescents and the triangle.
Although Valens called the crescent moon shape a crescent, Crockett Johnson used the term lune. This probably indicates that he also read Herbert Westren Turnball “The Great Mathematicians” in The World of Mathematics, edited by James R. Newman (1956), where the term lune is used. Also, on page page 91 of Turnball’s article there is a diagram on which the painting could have been based.
In this version of Squared Lunes Crockett Johnson uses brown, black, red, and white against a gray background. This oil painting is #67 in the series, and the first in the series with the title "Squared Lunes." It was completed in 1968 and is signed: CJ68. It is inscribed on the back: SQUARED LUNES (/) (HIIPPOCRATES OF CHIOS) (/) Crockett Johnson 1968. A related painting is #68 (1979.1093.43).
Location
Currently not on view
date made
1968
referenced
Hippocrates of Chios
painter
Johnson, Crockett
ID Number
1979.1093.42
accession number
1979.1093
catalog number
1979.1093.42
Some of Crockett Johnson's paintings reflect relatively recent research. Mathematicians had long been interested in the distribution of prime numbers.
Description
Some of Crockett Johnson's paintings reflect relatively recent research. Mathematicians had long been interested in the distribution of prime numbers. At a meeting in the early 1960s, physicist Stanislaw Ulam of the Los Alamos Scientific Laboratory in New Mexico passed the time by jotting down numbers in grid. One was at the center, the digits from 2 to 9 around it to form a square, the digits from 10 to 25 around this, and the spiral continued outward.
Circling the prime numbers, Ulam was surprised to discover that they tended to lie on lines. He and several colleagues programmed the MANIAC computer to compute and plot a much larger number spiral, and published the result in the American Mathematical Monthly in 1964. News of the event also created sufficient stir for Scientific American to feature their image on its March 1964 cover. Martin Gardner wrote a related column in that issue entitled “The Remarkable Lore of the Prime Numbers.”
The painting is #77 in the series. It is unsigned and undated, and has a wooden frame painted white.
Location
Currently not on view
date made
ca 1965
painter
Johnson, Crockett
ID Number
1979.1093.51
catalog number
1979.1093.51
accession number
1979.1093
In this oil or acrylic painting on masonite, Crockett Johnson illustrates a theorem presented by the Greek mathematician Pappus of Alexandria (3rd century AD). Suppose that one chooses three points on each of two line straight segments that do not intersect.
Description
In this oil or acrylic painting on masonite, Crockett Johnson illustrates a theorem presented by the Greek mathematician Pappus of Alexandria (3rd century AD). Suppose that one chooses three points on each of two line straight segments that do not intersect. Join each point to the two more distant points on the other lines. These lines meet in three points, which, according to the theorem, are themselves on a straight line.
The inspiration for this painting probably came from a figure in the article "The Great Mathematicians" by Herbert W. Turnbull found in the artist's copy of James R. Newman's The World of Mathematics (p. 112). This figure is annotated. It shows points A, B, and C on one line segment and D, E, and F on another line segment. Line segments AE and DB, AF and DC, and BF and EC intersect at 3 points (X, Y, and Z respectively), which are collinear. Turnbull's figure and Johnson's painting include nine points and nine lines that are arranged such that three of the points lie on each line and three of the lines lie on each point. If the words "point" and "line" are interchanged in the preceding sentence, its meaning holds true. This is the "reciprocation," or principle of duality, to which the painting's title refers.
Crockett Johnson chose a brown and green color scheme for this painting. The main figure, which is executed in seven tints and shades of brown, contains twelve triangles and two quadrilaterals. The background, which is divided by the line that contains the points X, Y, and Z, is executed in two shades of green. This color choice highlights Pappus' s theorem by dramatizing the line created by the points of intersection of AE and DB, AF and DC, and BC and EC. There wooden frame painted black.
Reciprocation is painting #6 in this series of mathematical paintings. It was completed in 1965 and is signed: CJ65.
Location
Currently not on view
date made
1965
referenced
Pappus
painter
Johnson, Crockett
ID Number
1979.1093.02
catalog number
1979.1093.02
accession number
1979.1093
Crockett Johnson much enjoyed constructing square roots of numbers geometrically. He offered the following account of this painting, as well as the figure shown: "Let AN and BN be 1.
Description
Crockett Johnson much enjoyed constructing square roots of numbers geometrically. He offered the following account of this painting, as well as the figure shown: "Let AN and BN be 1. Then the diagonal AB is the square root of 2, because it is the hypotenuse of a right triangle with sides of length √1 and √1. The large right triangle √1 plus √2 adds up to a hypotenuse of √3. The compass traces pronounce a statement and also declare its proof. The square root of 2 is 1.4142 . . . and the square root of 3 is 1.7321 . . . Their decimals run on and on but as produced by the compass and blind straightedge both numbers are quite as finite as 1. The triangle embodies three dimensions of the cube. CB is any edge, AB is a face diagonal, and AC is an internal diagonal." Crockett-Johnson described the source of the painting as "Artist's Construction, or Anybody's."
The triangle with three sides equal to the lengths of interest is painted white. Remaining segments of the construction are in dark gray and purple, with a black background. The painting has a brown wooden frame.
The painting is #66 in the series and is signed: CJ69. For a related painting, see #45 (1979.1093.32).
Reference: "Geometric Geometric [sic] Paintings by Crockett Johnson" NMAH Collections.
Location
Currently not on view
date made
1969
painter
Johnson, Crockett
ID Number
1979.1093.41
accession number
1979.1093
catalog number
1979.1093.41
Most geometric surfaces have a distinct inside and outside. This painting shows one that doesn’t. Take a strip of material, give it a half-twist, and attach the ends together. The result is a band with only one surface and one edge.
Description
Most geometric surfaces have a distinct inside and outside. This painting shows one that doesn’t. Take a strip of material, give it a half-twist, and attach the ends together. The result is a band with only one surface and one edge. Mathematicians began to explore such surfaces in the nineteenth century. In 1858 German astronomer and mathematician August Ferdinand Möbius (1790–1868), who had studied theoretical astronomy under Carl Friedrich Gauss at the University of Goettingen, discovered the one-sided surface shown in the painting. It has come to be known by his name. As often happens in the history of mathematics, another scholar, Johann Benedict Listing, had found the same result a few months earlier. Listing did not publish his work until 1861.
If one attaches the ends of a strip of paper without a half twist, the resulting figure is a cylinder. The cylinder has two sides such that one can paint the outside surface red and the inside surface green. If you try to paint the outside surface of a Möbius band red you will paint the entire band red without crossing an edge. Similarly, if you try to paint the inside surface of a Möbius band green you will paint the entire surface green. A cylinder has an upper edge and a lower edge. However, if you start at a point on the edge of a Möbius band you will trace out its entire edge and return to the point at which you began. Since Möbius's time, mathematicians have discovered and explored many other one-sided surfaces.
This painting, #34 in the series, was executed in oil on masonite and is signed: CJ65. The strip is shown in three shades of gray based on the figure’s position. The shades of gray, especially the lightest shade, are striking against the rose-colored background, and this contrast allows the viewer to focus on the properties of the Möbius band. The painting has a wooden frame.
Crockett Johnson's painting is similar to illustrations in James R. Newman's The World of Mathematics (1956), p. 596. However, the figures are not annotated in the artist's copy of the book.
Location
Currently not on view
date made
1965
referenced
Moebius, August Ferdinand
painter
Johnson, Crockett
ID Number
1979.1093.23
catalog number
1979.1093.23
accession number
1979.1093
With her camera, Lisa Law documented history in the heart of the counterculture revolution of the 1960s as she lived it, as a participant, an agent of change and a member of the broader culture.
Description
With her camera, Lisa Law documented history in the heart of the counterculture revolution of the 1960s as she lived it, as a participant, an agent of change and a member of the broader culture. She recorded this unconventional time of Anti-War demonstrations in California, communes, Love-Ins, peace marches and concerts, as well as her family life as she became a wife and mother. The photographs were collected by William Yeingst and Shannon Perich in a cross-unit collecting collaboration. Together they selected over two hundred photographs relevant to photographic history, cultural history, domestic life and social history.
Law’s portraiture and concert photographs include Bob Dylan, The Beatles, Lovin Spoonful and Peter, Paul and Mary. She also took several of Janis Joplin and her band Big Brother and the Holding Company, including the photograph used to create the poster included in the Smithsonian’s American Art Museum’s exhibition 1001 Days and Nights in American Art. Law and other members of the Hog Farm were involved in the logistics of setting up the well-known musical extravaganza, Woodstock. Her photographs include the teepee poles going into the hold of the plane, a few concert scenes and amenities like the kitchen and medical tent. Other photographs include peace rallies and concerts in Haight-Ashbury, Coretta Scott King speaking at an Anti-War protest and portraits of Allen Ginsburg and Timothy Leary. From her life in New Mexico the photographs include yoga sessions with Yogi Bhajan, bus races, parades and other public events. From life on the New Buffalo Commune, there are many pictures of her family and friends taken during meal preparation and eating, farming, building, playing, giving birth and caring for children.
Ms. Law did not realize how important her photographs were while she was taking them. It was not until after she divorced her husband, left the farm for Santa Fe and began a career as a photographer that she realized the depth of history she recorded. Today, she spends her time writing books, showing her photographs in museums all over the United States and making documentaries. In 1990, her video documentary, “Flashing on the Sixties,” won several awards.
A selection of photographs was featured in the exhibition A Visual Journey: Photographs by Lisa Law, 1964–1971, at the National Museum of American History October 1998-April 1999.
Location
Currently not on view
date made
1965
maker
Law, Lisa Bachelis
ID Number
1998.0139.022
accession number
1998.0139
catalog number
1998.0139.22
Charles Kuhn (1892-1989), who studied under fellow cartoonist Frank King, is most known for his comic strip "Grandma". The strip features the antics of a 90-year old woman and her grandchildren, based on the artist's own mother.
Description
Charles Kuhn (1892-1989), who studied under fellow cartoonist Frank King, is most known for his comic strip "Grandma". The strip features the antics of a 90-year old woman and her grandchildren, based on the artist's own mother. In this strip, Grandma disguises a watermelon as a football so that the grandkids will stay away from it until its ready to eat.
Location
Currently not on view
date made
09/02/1966
graphic artist
Kuhn, Charles
publisher
King Features Syndicate
ID Number
GA.22592
catalog number
22592
accession number
277502
This pen-and-ink drawing produced for the Captain Easy comic strip shows the title character enjoying the fictitious Mediterranean Republic of Dizmaylia with his date, Lolita.
Description (Brief)
This pen-and-ink drawing produced for the Captain Easy comic strip shows the title character enjoying the fictitious Mediterranean Republic of Dizmaylia with his date, Lolita. He later discovers that she works for his enemies.
Leslie Turner (1899-1988) prepared freelance illustrations in Dallas in his early years. When he sold a cartoon to Judge, he moved to New York and began contributing to publications such as Redbook and Pictorial Review. In 1937 Turner took a job as an assistant to Roy Crane, creator of the Captain Easy newspaper strip, which was then called Wash Tubbs. Turner took over the strip in 1943 and continued to draw it, with some assistance from Walt Scott, until he retired in 1970.
Captain Easy, (1933-1988) an adventure strip originally called Wash Tubbs, starred an eccentric character named Washington Tubbs II. The Captain Easy character was included in a supporting role. In 1933 creator Roy Crane retitled the strip and remodeled it to highlight the new protagonist who joined the U.S. army during World War II, and later became a private detective.
Location
Currently not on view
date made
1966-08-14
graphic artist
Turner, Leslie
publisher
NEA, Inc.
ID Number
GA.22332
catalog number
22332
accession number
277502
"Beetle Bailey" was created and continues to be drawn by Mort Walker (b. 1923). The comic strip centers around characters on Camp Swampy, a fictitious United States Army military post.
Description
"Beetle Bailey" was created and continues to be drawn by Mort Walker (b. 1923). The comic strip centers around characters on Camp Swampy, a fictitious United States Army military post. The main character, Beetle Bailey, is consistently lazy, drawing negative attention towards him and causing antics on the post. In this strip, the General is briefing his men on battle plans. He soon learns that asking his men for criticisms was the wrong plan.
Location
Currently not on view
date made
07/03/1966
graphic artist
Walker, Mort
publisher
King Features Syndicate
ID Number
GA.22601
catalog number
22601
accession number
277502
This pen-and-ink drawing produced for the Beetle Bailey comic strip shows Beetle asking what the Chaplain thinks about sneaking naps after being told “Don’t do anything I wouldn’t do.”Addison Morton "Mort" Walker (1923- ) was first published at age eleven, and soon afterward was
Description (Brief)
This pen-and-ink drawing produced for the Beetle Bailey comic strip shows Beetle asking what the Chaplain thinks about sneaking naps after being told “Don’t do anything I wouldn’t do.”
Addison Morton "Mort" Walker (1923- ) was first published at age eleven, and soon afterward was drawing a weekly cartoon for the Kansas City Journal. After U.S. Army service in World War II, Walker began drawing a cartoon named Spider for the Saturday Evening Post. King Features Syndicate later contracted with him for the related comic strip devoted to the character Beetle Bailey. Walker also wrote for Hi and Lois, considered to be a spin-off of Beetle Bailey. More recently Walker has drawn the strip with the help of his sons.
Beetle Bailey (1950- ), a private in the U.S. Army, is regularly looking for a way to avoid doing work. He is memorable because his eyes are always covered by a hat or helmet. The strip location originally took place on a college campus but after a year Walker reimagined the location of the strip as a U.S. Army base called "Camp Swampy," where the characters seem to be stationed in never-ending basic training.
Location
Currently not on view
date made
1966-09-24
graphic artist
Walker, Mort
publisher
King Features Syndicate
ID Number
GA.22533
catalog number
22533
accession number
277502
This pen-and-ink drawing prepared for the Dan Flagg comic strip shows the title character and companions aboard a yacht in trouble during a storm. Flagg tries to calm the other passengers and announces the arrival of the U.S.
Description (Brief)
This pen-and-ink drawing prepared for the Dan Flagg comic strip shows the title character and companions aboard a yacht in trouble during a storm. Flagg tries to calm the other passengers and announces the arrival of the U.S. Coast Guard.
Don Sherwood (1930-2010) spent his youth preparing to be a comic artist and after serving as a U.S. Marine in the Korean War assisted on Terry and the Pirates. In 1963 he debuted his own strip, Dan Flagg, inspired by the U.S. Marine Corps. After Dan Flagg was canceled in 1967, Sherwood began drawing for Hanna-Barbera, Columbia Pictures, the comic book The Phantom, and The Flintstones comic strip.
Dan Flagg (1963-1967) was an adventure comic strip that premiered during the Vietnam War. As World War II had been a popular subject matter for comic strips in the 1940s, publishers thought that comic strips about the Vietnam War would be just as popular. However, though readers thought Dan Flagg was an entertaining character, increasing opposition to the Vietnam War prevented the strip from enjoying sufficient popularity. Dan Flagg was dropped by its syndicate in 1965 and canceled permanently in 1967.
Location
Currently not on view
date made
1966-07-24
publisher
Bell-McClure Syndicate
graphic artist
Sherwood, Don
author
Thomas, Jerry
ID Number
GA.22575
catalog number
22575
accession number
277502
This oil painting on pressed wood, #52 in the series, shows an original construction of Crockett Johnson. He executed this work in 1968, three years after he began creating mathematical paintings.
Description
This oil painting on pressed wood, #52 in the series, shows an original construction of Crockett Johnson. He executed this work in 1968, three years after he began creating mathematical paintings. It is evident that the artist was very proud of this construction because he drew four paintings dealing with the problem of squaring the circle. The construction was part of Crockett Johnson's first original mathematical work, published in The Mathematical Gazette in early 1970. A diagram relating to the painting was published there.
To "square a circle," mathematically speaking, is to construct a square whose area is equal to that of a given circle using only a straightedge (an unmarked ruler) and a compass. It is an ancient problem dating from the time of Euclid and is one of three problems that eluded Greek geometers and continued to elude mathematicians for 2,000 years. In 1880, the German mathematician Ferdinand von Lindermann showed that squaring a circle in this way is impossible - pi is a transcendental number. Because this proof is complicated and difficult to understand, the problem of squaring a circle continues to attract amateur mathematicians like Crockett Johnson. Although he ultimately understood that the circle cannot be squared with a straightedge and compass, he managed to construct an approximate squaring.
Crockett Johnson began his construction with a circle of radius one. In this circle he inscribed a square. Therefore, in the figure, AO=OB=1 and OC=BC=√(2) / 2. AC=AO+OC=1 + √(2) / 2 and AB=√(AC² + BC²) which equals the square root of the quantity (2+√(2)). Crockett Johnson let N be the midpoint of OT and constructed KN parallel to AC. K is thus the midpoint of AB, and KN=AO - (AC)/2=1/2 - √(2) / 4. Next, he let P be the midpoint of OG, and he drew KP, which intersects AO at X. Crockett Johnson then computed NP=NO+OP=(√(2))/4+(1/2). Triangle POX is similar to triangle PNK, so XO/OP=KN/NP. From this equality it follows that XO=(3-2√(2))/2.
Also, AX=AO-XO=(2√(2)-1)/2 and XC=XO+OC=(3-√(2))/2. Crockett Johnson continued his approximation by constructing XY parallel to AB. It is evident that triangle XYC is similar to triangle ABC, and so XY/XC=AB/AC. This implies that XY=[√((2+√(2)) × (8-5√(2))]/2. Finally he constructed XZ=XY and computed AZ=AX+XZ=[2√(2)-1+(√(2+√(2)) × (8-5√(2))]/2 which approximately equals 1.7724386. Crockett Johnson knew that the square root of pi approximately equals 1.772454, and thus AZ is approximately equal to √(Π) - 0.000019. Knowing this value, he constructed a square with each side equal to AZ. The area of this square is (AZ)² = 3.1415258. This differs from the area of the circle by less than 0.0001. Thus, Crockett Johnson approximately squared the circle.
The painting is signed: CJ68. It is marked on the back: SQUARED CIRCLE* (/) Crockett Johnson 1968 (/) FLAT OIL ON PRESSED WOOD) (/) MATHEMATICALLY (/) DEMONSTRATED (/) TO √π + 0.000000001. It has a white wooden frame. Compare to painting #91 (1979.1093.60).
References: Crockett Johnson, “On the Mathematics of Geometry in My Abstract Paintings,” Leonardo 5 (1972): p. 98.
C. Johnson, “A Geometrical look at √π," Mathematical Gazette, 54 (1970): p. 59–60. the figure is from p. 59.
Location
Currently not on view
date made
1968
painter
Johnson, Crockett
ID Number
1979.1093.35
catalog number
1979.1093.35
accession number
1979.1093

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