The Dymaxion map or Fuller map is a projection of a world map onto the surface of an icosahedron, which can be unfolded and flattened to two dimensions. The flat map is heavily interrupted in order to preserve shapes and sizes.
The Codex Leicester is a collection of scientific writings by Leonardo da Vinci. The codex is named after Thomas Coke, Earl of Leicester, who purchased it in 1717. The codex provides an insight into the inquiring mind of the definitive Renaissance artist, scientist and thinker, as well as an exceptional illustration of the link between art and science and the creativity of the scientific process.
A Reuleaux triangle is a curved triangle with constant width, the simplest and best known curve of constant width other than the circle. It is formed from the intersection of three circular disks, each having its center on the boundary of the other two. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because its width is constant, the Reuleaux triangle is one answer to the question "Other than a circle, what shape can a manhole cover be made so that it cannot fall down through the hole?"
A world map is a map of most or all of the surface of Earth. World maps, because of their scale, must deal with the problem of projection. Maps rendered in two dimensions by necessity distort the display of the three-dimensional surface of the Earth. While this is true of any map, these distortions reach extremes in a world map. Many techniques have been developed to present world maps that address diverse technical and aesthetic goals.
Christopher William Tyler is a neuroscientist, creator of the autostereogram, and is the Head of the Brain Imaging Center at the Smith-Kettlewell Eye Research Institute He also holds a professorship at City University of London.
The Virgin and Child with Saint Anne is an unfinished oil painting by High Renaissance artist Leonardo da Vinci, dated to c. 1501–1519. It depicts Saint Anne, her daughter the Virgin Mary and the infant Jesus. Christ is shown grappling with a sacrificial lamb symbolizing his Passion as the Virgin tries to restrain him. The painting was commissioned as the high altarpiece for the Church of Santissima Annunziata in Florence and its theme had long preoccupied Leonardo.
The Madonna Litta is a late 15th-century painting, traditionally attributed to Leonardo da Vinci, in the Hermitage Museum, Saint Petersburg. It depicts the Virgin Mary breastfeeding the Christ child, a devotional subject known as the Madonna lactans. The figures are set in a dark interior with two arched openings, as in Leonardo's earlier Madonna of the Carnation, and a mountainous landscape in aerial perspective can be seen beyond. In his left hand Christ holds a goldfinch, which is symbolic of his future Passion.
The Virgin and Child with Saint Anne and Saint John the Baptist, sometimes called The Burlington House Cartoon, is a drawing by Leonardo da Vinci. The drawing is in charcoal and black and white chalk, on eight sheets of paper that are glued together. Because of its large size and format the drawing is presumed to be a cartoon for a painting. No painting by Leonardo exists that is based directly on this cartoon, although the drawing may have been in preparation for a now lost or unexecuted painting commissioned by Louis XII. The drawing is the only extant larger-scale drawing by the artist.
Leonardo da Vinci (1452–1519) was an Italian polymath, regarded as the epitome of the "Renaissance Man", displaying skills in numerous diverse areas of study. While most famous for his paintings such as the Mona Lisa and the Last Supper, Leonardo is also renowned in the fields of civil engineering, chemistry, geology, geometry, hydrodynamics, mathematics, mechanical engineering, optics, physics, pyrotechnics, and zoology.
Bernard Joseph Stanislaus Cahill, American cartographer and architect, was the inventor of the octahedral "Butterfly Map". An early proponent of the San Francisco Civic Center, he also designed hotels, factories and mausoleums like the Columbarium of San Francisco.
The Codex Atlanticus is a 12-volume, bound set of drawings and writings by Leonardo da Vinci, the largest single set. Its name indicates the large paper used to preserve original Leonardo notebook pages, which was used for atlases. It comprises 1,119 leaves dating from 1478 to 1519, the contents covering a great variety of subjects, from flight to weaponry to musical instruments and from mathematics to botany. This codex was gathered in the late 16th century by the sculptor Pompeo Leoni, who dismembered some of Leonardo's notebooks in its formation. It is now in the Biblioteca Ambrosiana in Milan.
The Waterman "Butterfly" World Map is a map projection created by Steve Waterman. Waterman first published a map in this arrangement in 1996. The arrangement is an unfolding of a polyhedral globe with the shape of a truncated octahedron, evoking the butterfly map principle first developed by Bernard J.S. Cahill (1866–1944) in 1909. Cahill and Waterman maps can be shown in various profiles, typically linked at the north Pacific or north Atlantic oceans.
The Madrid Codices I–II, are two manuscripts by Leonardo da Vinci which were discovered in the Biblioteca Nacional de España in Madrid in 1965 by Dr. Jules Piccus, Language Professor at the University of Massachusetts. The Madrid Codices I was finished during 1490 and 1499, and II from 1503 to 1505.
The Cahill–Keyes projection is a polyhedral compromise map projection first proposed by Gene Keyes in 1975. The projection is a refinement of an earlier 1909 projection by Bernard Cahill. The projection was designed to achieve a number of desirable characteristics, namely symmetry of component maps (octants), scalability allowing the map to continue to work well even at high resolution, uniformity of geocells, metric-based joining edges, minimized distortion compared to a globe, and an easily understood orientation to enhance general usability and teachability.
Leonardo's world map is the name assigned to a unique world map drawn using the "octant projection" and found loosely inserted among a Codex of Leonardo da Vinci preserved in Windsor. It features an early use of the toponym America and incorporates information from the travels of Amerigo Vespucci, published in 1503 and 1505. Additionally, the map depicts the Arctic as an ocean and Antarctica as a continent of about the correct size.
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space. Commonly, designs are based on circles centered on triangles or on the square lattice pattern of points.
Augusto Marinoni was professor of romance philology at the Università Cattolica del Sacro Cuore of Milan, a member of the Commissione Vinciana and the Accademia dei Lincei. He is considered one of the greatest scholars of Leonardo da Vinci.
A polyhedral map projection is a map projection based on a spherical polyhedron. Typically, the polyhedron is overlaid on the globe, and each face of the polyhedron is transformed to a polygon or other shape in the plane. The best-known polyhedral map projection is Buckminster Fuller's Dymaxion map. When the spherical polyhedron faces are transformed to the faces of an ordinary polyhedron instead of laid flat in a plane, the result is a polyhedral globe.
José Luis Espejo Pérez, is a Spanish-language writer specializing in historical essays.
