Misplaced Pages

Donald in Mathmagic Land
1988 VHS cover
Directed by	Hamilton Luske (supervising) Wolfgang Reitherman Les Clark Joshua Meador (sequences)
Written by	Milt Banta Bill Berg Heinz Haber
Produced by	Walt Disney
Starring	Clarence Nash Paul Frees
Narrated by	Paul Frees
Cinematography	Edward Colman
Edited by	Lloyd L. Richardson
Music by	Buddy Baker
Production company	Walt Disney Productions
Distributed by	Buena Vista Film Distribution
Release date	June 26, 1959 (1959-06-26)
Running time	27:35
Country	United States
Language	English

Donald in Mathmagic Land is an American live-action animated featurette produced by Walt Disney Productions and featuring Donald Duck. The short was directed by Hamilton Luske (with Wolfgang Reitherman, Les Clark, and Joshua Meador as sequence directors) and was released on June 26, 1959. It was nominated for an Academy Award for Best Documentary (Short Subject) at the 32nd Academy Awards, and became a widely viewed educational film in American schools of the 1960s and beyond.

Plot

1: Very Strange

The film begins with Donald Duck, holding a hunting rifle, passing through a doorway to find that he has entered Mathmagic Land. This "mighty strange" fantasy land contains trees with square roots, a stream flowing with numbers, and a walking pencil that plays tic-tac-toe. A geometric bird recites (almost perfectly) the first 15 digits of pi. Donald soon hears the voice of the unseen "True Spirit of Adventure" (Paul Frees), who will guide him on his journey through "the wonderland of mathematics".

2: The Time Of Pythagoras

Donald is initially not interested in exploring Mathmagic Land, believing that math is just for "eggheads". When "Mr. Spirit" suggests a connection between math and music, though, Donald is intrigued. First, Donald discovers the relationships between octaves and string length which develop the musical scale of today. Next, Donald finds himself in ancient Greece, where Pythagoras and his contemporaries are discovering these same relationships. Pythagoras (on the harp), a flute player, and a double bass player hold a "jam session" which Donald joins after a few moments using a vase as a bongo drum. Pythagoras' mathematical discoveries are, as the Spirit explains, the basis of today's music, and that music would not exist without "eggheads". The segment ends with a sequence of live action musicians playing both jazz and classical music and Pythagoras' pals fading away.

3: The Golden Rectangle

After shaking hands with Pythagoras, who then vanishes, Donald finds on his hand a pentagram, the symbol of the secret Pythagorean society. The Spirit then shows Donald how the mysterious golden section appears in the pentagram. Next, the pentagram is shown to contain the pattern for constructing golden rectangles many times over. According to the Spirit, the golden rectangle has influenced both ancient and modern cultures in many ways. Donald then learns how the golden rectangle appears in many ancient buildings, such as the Parthenon and the Notre Dame cathedral. Paintings such as the Mona Lisa and various sculptures such as the Venus de Milo contain several golden rectangles. The use of the golden rectangle is found in modern architecture, such as the United Nations building in New York City. Modern painters have also rediscovered the magic of the golden rectangles.

4: Mathematical Forms In Nature

The Spirit shows Donald how the golden rectangle and pentagram are related to the human body and nature, respectively. The human body contains the "ideal proportions" of the golden section; Donald, overinterpreting the Spirit's advice, tries to make his own body fit such a proportion, but his efforts are to no avail; he ends up "all pent up in a pentagon". The pentagram and pentagon are then shown to be found in many flowers and animals, such as the petunia, the star jasmine, the starfish, the waxflower, and with the help of the inside of a nautilus shell, the Spirit explains that the magic proportions of the golden section are often found in the spirals of nature's designs, quoting Pythagoras: "Everything is arranged according to number and mathematical shape."

5: Mathematics in Games

Donald then learns that mathematics applies not only to nature, architecture, and music, but also to games that are played on geometrical surfaces, including chess, baseball, American football, basketball, hopscotch, and three-cushion billiard, except Donald volunteers checkers. Donald even volunteers the game Tiddlywinks, but the Spirit does not pursue this option. Themes of Lewis Carroll's 1871 novel Through the Looking-Glass are scattered throughout the chess scene; Carroll himself was both a writer and a mathematician. The extended billiards scene, which features a non-speaking live actor, shows the calculations involved in the game's "diamond system", and Donald finally learns how to do the calculations, though he ends up making it tough for himself, spectacularly hitting ten cushions in a single shot nonetheless.

6: Mathematical Thinking

The Spirit then asks Donald to play a mental game, but he finds Donald's mind to be too cluttered with "Antiquated Ideas", "Bungling", "False Concepts", "Superstitions", and "Confusion". After some mental house-cleaning, Donald plays with a circle and a triangle in his mind, he spins them to make them respectively into a sphere and a cone, and then he discovers useful inventions such as the wheel, train, magnifying glass, drill, spring, propeller, and telescope. Donald then discovers that pentagrams can be drawn inside each other indefinitely. Therefore, numbers provide an avenue to consider the infinite. The Spirit states that scientific knowledge and technological advances are unlimited, and the key to unlocking the doors of the future is mathematics. By the end of the film, Donald understands and appreciates the value of mathematics. The film closes with a quotation from Galileo Galilei: "Mathematics is the alphabet with which God has written the universe."

Cast

• Clarence Nash as Donald Duck (voice)
• Paul Frees as The True Spirit of Adventure / Narrator (voice), and the Pi creature (voice)
• June Foray as the Chess Queen (voice)
• Daws Butler as the Chess King (voice)
• Roman Yanez as The Billiards Player

Production

The film was directed by Hamilton Luske. Contributors included Disney artists John Hench and Art Riley, voice talent Paul Frees, and scientific expert Heinz Haber, who had worked on the Disney space shows. It was released on a bill with Darby O'Gill and the Little People. In 1959, it was nominated for an Academy Award for (Best Documentary – Short Subjects). In 1961, two years after its release, it was shown as part of the first program of Walt Disney's Wonderful World of Color with an introduction by Ludwig Von Drake.

The film was made available to schools and became one of the most popular educational films ever made by Disney. As Walt Disney himself explained: "The cartoon is a good medium to stimulate interest. We have recently explained mathematics in a film and in that way excited public interest in this very important subject."

Releases

• 1959 - theatrical release
• 1961 - Walt Disney's Wonderful World of Color, episode #8.1: "An Adventure in Color/Mathmagicland" (TV)

Home media

The short was released on November 11, 2008 on Walt Disney Treasures: The Chronological Donald, Volume Four: 1951-1961.

Additional releases include:

• 1988 - Walt Disney Mini Classics: Donald in Mathmagic Land (VHS)
• 2007 - Donald in Mathmagic Land (DVD exclusive to the Disney Movie Club)
• 2009 - Donald in Mathmagic Land (DVD)

In other media

• A comic book adaptation was made, scripted by Don R. Christensen, pencilled by Tony Strobl, and inked by Steve Steere. This version differs in some ways from the original film version, providing a better context for Donald's excursion into Mathmagic Land.
• The Figment comic book miniseries from Marvel Comics has the outcast sound sprite Fye mention Mathmagic Land as one of the other countries in the Realm of Imagination.
• The House of Mouse episode "Gone Goofy" features an advertisement for Mathmagic Land at the end.
• In the 2023 Ted Lasso episode "Sunflowers", Lasso consumes what he believes to be psychedelic drugs and begins to hallucinate about the geometry of triangles. The style of animated hallucination sequence is visually similar to that of Donald in Mathmagic Land, and Lasso also hears the voice of The True Spirit of Adventure (voiced by Corey Burton) explaining the significance of the triangle.

References

1. Lenburg, Jeff (1999). The Encyclopedia of Animated Cartoons. Checkmark Books. pp. 74–76. ISBN 0-8160-3831-7. Retrieved 6 June 2020.
2. "The 32nd Academy Awards (1960) Nominees and Winners". oscars.org. Archived from the original on 6 July 2011. Retrieved May 20, 2019.
3. "Mathematical Treasure: Donald in Mathmagic Land | Mathematical Association of America". www.maa.org. Retrieved 2022-02-23.
4. "NY Times: Donald in Mathmagic Land". Movies & TV Dept. The New York Times. 2012. Archived from the original on April 7, 2012. Retrieved January 2, 2019.
5. Smith, Dave (2006). Disney A to Z: The Official Encyclopedia (3 ed.). Disney Editions. p. 198. ISBN 0-7868-4919-3.
6. "The Chronological Donald Volume 4 DVD Review". DVD Dizzy. Retrieved 13 February 2021.
7. Riper, A. Bowdoin Van (2011). Learning from Mickey, Donald and Walt: Essays on Disney's Edutainment Films. McFarland. p. 120. ISBN 978-0-7864-8475-1. Retrieved 13 May 2018 – via Google Books.

External links

• Donald in Mathmagic Land at IMDb
• Donald in Mathmagic Land at Disney.com
• Donald in Mathmagic Land at Disney A to Z

v t e Mathematics and art
Concepts	Algorithm Catenary Fractal Golden ratio Hyperboloid structure Minimal surface Paraboloid Perspective Camera lucida Camera obscura Plastic ratio Projective geometry Proportion Architecture Human Symmetry Tessellation Wallpaper group
Forms	Algorithmic art Anamorphic art Architecture Geodesic dome Pyramid Vastu shastra Computer art Fiber arts 4D art Fractal art Islamic geometric patterns Girih Jali Muqarnas Zellij Knotting Celtic knot Croatian interlace Interlace Music Origami Mathematics Sculpture String art String figure Tiling
Artworks	List of works designed with the golden ratio Continuum Mathemalchemy Mathematica: A World of Numbers... and Beyond Octacube Pi Pi in the Sky
Buildings	Cathedral of Saint Mary of the Assumption Hagia Sophia Kresge Auditorium Pantheon Parthenon Pyramid of Khufu Sagrada Família Sydney Opera House Taj Mahal
Artists	Renaissance Paolo Uccello Piero della Francesca Leonardo da Vinci Vitruvian Man Albrecht Dürer Parmigianino Self-portrait in a Convex Mirror 19th–20th Century William Blake The Ancient of Days Newton Jean Metzinger Danseuse au café L'Oiseau bleu Giorgio de Chirico Man Ray M. C. Escher Circle Limit III Print Gallery Relativity Reptiles Waterfall René Magritte La condition humaine Salvador Dalí Crucifixion The Swallow's Tail Crockett Johnson Contemporary Max Bill Martin and Erik Demaine Scott Draves Jan Dibbets John Ernest Helaman Ferguson Peter Forakis Susan Goldstine Bathsheba Grossman George W. Hart Desmond Paul Henry Anthony Hill Charles Jencks Garden of Cosmic Speculation Andy Lomas Robert Longhurst Jeanette McLeod Hamid Naderi Yeganeh István Orosz Hinke Osinga Antoine Pevsner Tony Robbin Alba Rojo Cama Reza Sarhangi Oliver Sin Hiroshi Sugimoto Daina Taimiņa Roman Verostko Margaret Wertheim
Theorists	Ancient Polykleitos Canon Vitruvius De architectura Renaissance Filippo Brunelleschi Leon Battista Alberti De pictura De re aedificatoria Piero della Francesca De prospectiva pingendi Luca Pacioli De divina proportione Leonardo da Vinci A Treatise on Painting Albrecht Dürer Vier Bücher von Menschlicher Proportion Sebastiano Serlio Regole generali d'architettura Andrea Palladio I quattro libri dell'architettura Romantic Samuel Colman Nature's Harmonic Unity Frederik Macody Lund Ad Quadratum Jay Hambidge The Greek Vase Modern Owen Jones The Grammar of Ornament Ernest Hanbury Hankin The Drawing of Geometric Patterns in Saracenic Art G. H. Hardy A Mathematician's Apology George David Birkhoff Aesthetic Measure Douglas Hofstadter Gödel, Escher, Bach Nikos Salingaros The 'Life' of a Carpet
Publications	Journal of Mathematics and the Arts Lumen Naturae Making Mathematics with Needlework Rhythm of Structure Viewpoints: Mathematical Perspective and Fractal Geometry in Art
Organizations	Ars Mathematica The Bridges Organization European Society for Mathematics and the Arts Goudreau Museum of Mathematics in Art and Science Institute For Figuring Mathemalchemy National Museum of Mathematics
Related	Droste effect Mathematical beauty Patterns in nature Sacred geometry
Category

• 1959 films
• 1950s educational films
• 1959 animated short films
• 1950s Disney animated short films
• Disney educational films
• Donald Duck short films
• 1950s English-language films
• Short films with live action and animation
• Films scored by Buddy Baker (composer)
• Animated films set in ancient Greece
• Films set in Athens
• Animated films set in New York City
• Animated films set in Paris
• Films about mathematics
• Animated films about music and musicians
• Films adapted into comics
• Animated films based on Alice in Wonderland
• Films directed by Les Clark
• Films directed by Hamilton Luske
• Films directed by Joshua Meador
• Short films directed by Wolfgang Reitherman
• Films produced by Walt Disney
• Cultural depictions of Pythagoras
• American animated featurettes
• 1950s American films
• Baseball animation
• Basketball animation
• Disney animated films based on fairy tales
• English-language short films