Boat (drawing)

An example of Boat^[1]

Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.^[2]^[3]

The work is defined by trigonometric functions. One instance is composed of 2000 line segments where for each $k=1, 2, 3, \ldots , 2000$ the endpoints of the k-th line segment are:

\left(\cos\left(\frac{6\pi k}{2000}\right)-i\cos\left(\frac{12\pi k}{2000}\right)\right)e^{\frac{3\pi i}{4}}

and

\left(\sin\left(\frac{4\pi k}{2000}+\frac{\pi}{8}\right)+i\sin\left(\frac{2\pi k}{2000}+\frac{\pi}{3}\right)\right)e^{\frac{3\pi i}{4}}

.^[4]^[5]^[6]

References

↑ ""Boat," by Hamid Naderi Yeganeh". American Mathematical Society. September 16, 2015. Retrieved October 9, 2015.
↑ "Mathematical Concepts Illustrated by Hamid Naderi Yeganeh". American Mathematical Society. November 2014. Retrieved October 9, 2015.
↑ Bellos, Alex (February 24, 2015). "Catch of the day: mathematician nets weird, complex fish". The Guardian.
↑ Naderi Yeganeh, Hamid (September 11, 2015). "Importing Things From the Real World Into the Territory of Mathematics!". Huffington Post (blog).
↑ Mellow, Glendon (August 6, 2015). "Mathematically Precise Crosshatching". Scientific American (blog).
↑ Knowles, Elizabeth (February 3, 2016). "When Math Transforms into Art". The Science Explorer.

Mathematics and art

Forms

Algorithmic art
Anamorphic art
Computer art
4D art
Fractal art
Islamic geometric patterns (Girih, Jali, Muqarnas, Zellige)
Knotting
Architecture (Geodesic dome, Islamic, Mughal, Pyramid, Vastu shastra)
Music
Origami
Textiles
String art
Sculpture
Tiling

Artworks

Buildings

Artists

Renaissance	Paolo Uccello Piero della Francesca Albrecht Dürer Leonardo da Vinci (Vitruvian Man) Parmigianino (Self-portrait in a Convex Mirror)
19th–20th Century	William Blake (The Ancient of Days, Newton) Man Ray René Magritte (La condition humaine) Salvador Dalí (Crucifixion, The Swallow's Tail) Giorgio de Chirico M. C. Escher (Circle Limit III, Print Gallery, Relativity, Reptiles, Waterfall)
Contemporary	Martin and Erik Demaine Scott Draves Jan Dibbets John Ernest Helaman Ferguson Peter Forakis Bathsheba Grossman George W. Hart Desmond Paul Henry John A. Hiigli Anthony Hill Charles Jencks (Garden of Cosmic Speculation) Robert Longhurst István Orosz Hinke Osinga Hamid Naderi Yeganeh (A Bird in Flight, Boat) Tony Robbin Oliver Sin Hiroshi Sugimoto Daina Taimina Roman Verostko

Concepts

Algorithm
Catenary
Fractal
Golden ratio
Hyperboloid structure
Minimal surface
Paraboloid
Perspective (Camera lucida, Camera obscura)
Projective geometry
Proportion (Architecture, Human)
Symmetry
Tessellation
Wallpaper group

Theorists

Ancient	Polykleitos (Canon) Vitruvius (De architectura)
Renaissance	Luca Pacioli (De divina proportione) Piero della Francesca (De prospectiva pingendi) Leon Battista Alberti (De pictura, De re aedificatoria) Sebastiano Serlio (Regole generali d'architettura) Andrea Palladio (I quattro libri dell'architettura) Albrecht Dürer (Vier Bücher von Menschlicher Proportion)
Romantic	Frederik Macody Lund ("Ad Quadratum") Jay Hambidge ("The Greek Vase") Samuel Colman ("Nature's Harmonic Unity")
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

Organizations

Boat (drawing)

See also

References