Geometrical Shape Collection

Map of Yosemite National Park, c.1900 (engraving)
532890 Map of Yosemite National Park, c.1900 (engraving); (add.info.: Map of Yosemite National Park, highlighting major parks and other features, circa 1900)

19th century, French, illustration, showing the life of the Virgin Mary, c.1840
3666105 19th century, French, illustration, showing the life of the Virgin Mary, c.1840; (add.info.: 19th century, French, illustration, showing the life of the Virgin Mary)

woodcut illustration, showing the coronation of the Virgin Mary with Jesus
3666110 woodcut illustration, showing the coronation of the Virgin Mary with Jesus; (add.info.: 19th century woodcut illustration, showing the coronation of the Virgin Mary with Jesus)

Fall Decor Abstract Shape
Nilesh Kulkarni

Icosahedron, from De Divina Proportione by Luca Pacioli, published 1509
XIR168749 Icosahedron, from De Divina Proportione by Luca Pacioli, published 1509, Venice (engraving) (b/w photo) by Vinci, Leonardo da (1452-1519); Bibliotheque Nationale, Paris, France; Italian

Icosahedron, from De Divina Proportione by Luca Pacioli, published 1509
XIR217646 Icosahedron, from De Divina Proportione by Luca Pacioli, published 1509, Venice (engraving) (b/w photo) by Vinci, Leonardo da (1452-1519); Bibliotheque Nationale, Paris, France; Italian

Stella octangula, from De Divina Proportione by Luca Pacioli, published 1509
XIR217645 Stella octangula, from De Divina Proportione by Luca Pacioli, published 1509, Venice (engraving) (b/w photo) by Vinci, Leonardo da (1452-1519); Bibliotheque Nationale, Paris

Polyhedron, from De Divina Proportione by Luca Pacioli, published 1509
XIR217644 Polyhedron, from De Divina Proportione by Luca Pacioli, published 1509, Venice (engraving) (b/w photo) by Vinci, Leonardo da (1452-1519); Bibliotheque Nationale, Paris, France; Italian

Dodecahedron, from De Divina Proportione by Luca Pacioli, published 1509
XIR217648 Dodecahedron, from De Divina Proportione by Luca Pacioli, published 1509, Venice (engraving) (b/w photo) by Vinci, Leonardo da (1452-1519); Bibliotheque Nationale, Paris, France; Italian

Dodecahedron, from De Divina Proportione by Luca Pacioli, published 1509
XIR217647 Dodecahedron, from De Divina Proportione by Luca Pacioli, published 1509, Venice (engraving) (b/w photo) by Vinci, Leonardo da (1452-1519); Bibliotheque Nationale, Paris, France; Italian

Reflections in 42nd street, New York 2n
New York, USA - 4 November 3023 Distorted reflections of skyscrapers bounce around this archetypal street canyon in Manhattan

Reflections in 42nd street, New York 3n
New York, USA - 4 November 3023 Distorted reflections of skyscrapers bounce around this archetypal street canyon in Manhattan

Reflections in 42nd street, New York 4n
New York, USA - 4 November 3023 Distorted reflections of skyscrapers bounce around this archetypal street canyon in Manhattan

Reflections in 42nd street, New York 2b
New York, USA - 4 November 3023 Distorted reflections of skyscrapers bounce around this archetypal street canyon in Manhattan

Guggenheim Museum Exterior

Close-up of St Marks Clock tower
Detail on the St Marks Clock tower Venice. The early renaissance building is on the North side of the Piazza San Marco at the entrance to the Merceira

Line without measure, by Robert Marsden, 1990
Robert Marsden born 1947. A line without measure 1990. Patinated gilding metal. A distorted triangular metal tube

Ioannes Superantius, Portolan chart, wind rose, detail
Cartography, 16th century. Ioannes Superantius, Portolan chart, wind rose. Detail

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"Exploring the Timeless Beauty of Geometrical Shapes: From Luca Pacioli's De Divina Proportione to Modern Architecture" In 1509, mathematician Luca Pacioli published his groundbreaking work, "De Divina Proportione, " which introduced the world to various mesmerizing geometrical shapes. One such shape is the Icosahedron, a polyhedron with twenty faces that captivated readers then and continues to intrigue us today. Pacioli's book also showcased another remarkable creation called Stella Octangula, an intricate geometric figure composed of two pyramids intersecting at their bases. Its symmetrical beauty has inspired countless artists and architects throughout history. Polyhedrons were another focus in Pacioli's masterpiece. These three-dimensional figures with flat polygonal faces have fascinated mathematicians for centuries due to their complexity and aesthetic appeal. Among these polyhedrons was the Dodecahedron, consisting of twelve pentagonal faces. The elegance of this shape lies in its ability to seamlessly combine straight lines and curves into a harmonious whole. Fast forward from 1509 to modern times, where we find ourselves admiring architectural marvels like the Guggenheim Museum Exterior. Designed by Frank Lloyd Wright, its unique spiral form showcases a fusion of geometrical shapes that create an awe-inspiring visual experience for visitors. As we stroll through bustling streets like New York City's iconic 42nd street, reflections on glass facades offer glimpses into a world where geometry meets reality. These captivating reflections capture fragments of our surroundings within geometrical frames—reminding us that even in urban chaos, there exists harmony within mathematical precision. Whether it be exploring ancient texts or appreciating contemporary architecture, one thing remains clear.