©2018 by vidyajaishankar

Off- Balance,

Acrylic on canvas, 6' x 6' x 6'

This artwork emphasises the imbalance created in the ecosystem due to the increasing number of endangered species, with the population within each species decreasing.

 

Equilateral triangle, across many cultures and ancient philosophies, symbolises stability and equilibrium. This work threads the mathematical concepts of Sierpinski triangle, constructed from Pascal’s triangle and Golden ratio. Golden ratio, found in Fibonacci sequence is derived by inscribing the Sierpinski triangle within an imaginary circle. The work area is represented as an inverted equilateral triangle, which together with the displaced upper triangle (disrupting the said imaginary circle) emphasises the imbalance.

 

The recursive progression of Sierpinski (equilateral) triangle towards zero is metaphoric to the decreasing population within each endangered species. Around 200 species which are vulnerable, endangered or extinct are painted on the said equilateral triangular surface area (constructed using 10 equilateral triangles).

References

V. Ceric, "Algorithmic art: Technology, mathematics and art," ITI 2008 - 30th International Conference on Information Technology Interfaces, Dubrovnik, 2008, pp. 75-82.

Equilateral Triangles and the Golden Ratio, J. F. Rigby, The Mathematical Gazette
Vol. 72, No. 459 (Mar., 1988), pp. 27-30

Ilktürk, Utku. An Attempt to Combine Mathematics and Visual Arts A Research on Islamic Geometric Patterns. MS thesis. 2009.

Erdönmez, Cengiz, and Cevat Erdem İmrak. "Modeling techniques of nested helical structure based geometry for numerical analysis." Strojniški vestnik-Journal of Mechanical Engineering 57.4 (2011): 283-292.

Tessellations: The Link Between Math and Art-Amanda Barth, April 27, 2007


Mathematics and Art: Mathematical Visualization in Art and Education, by Claude P. Bruter (Ed.) New York, Springer-Verlag, 2002


Connections between Art and Mathematics- Radhika Kshatriya Practical Applications of Advanced Mathematics-Mrs. Amy Goodrum, July 14, 2007


http://www.cs.rutgers.edu/~kalantar/poly/polywin.html


creative mathematics and rational art in virtual world, GIURGOLA Giliola.


Fractal: Math and Art, Chujiao Ma, May 9, 2007

Comtet, L. Advanced Combinatorics: The Art of Finite and Infinite Expansions, rev. enl. ed. Dordrecht, Netherlands: Reidel, p. 93, 1974.

Malkevitch, Joseph. “Mathematics and Art.” AMS. 2007. AMS. 11 Jan 2007

Posamentier, Alfred S., and Ingmar Lehmann. The fabulous Fibonacci numbers. Prometheus Books, 2010.

Dolan, Jay. "Mathematical Connections with Nature, Art, and Religion." Mathematical Connections (2004).

Atalay, Bulent. Math and the Mona Lisa: The art and science of Leonardo da Vinci. Smithsonian Institution, 2011.

Hedian, Helene. "The golden section and the artist." The Fibonacci Quarterly 14 (1976): 406-418.

Hartshorn, Kevin. "The fabulous Fibonacci numbers by Alfred Posamentier and Ingmar Lehmann." (2009): 113-116.

Maloney, William J., and Jake Fried. "Vitruvian Man-Leonardo da Vinci's Interpretation of the Golden Proportion and its Application in Modern Dentistry." (2011).

McCartin, Brian J. Mysteries of the equilateral triangle. Ruse, Bulgaria: Hikari Limited, 2010.

Atalay, Bulent. Math and the Mona Lisa. United States: N. p., 2004.

 

Mandelbrot, Benoit B. The fractal geometry of nature. Vol. 173. New York: WH freeman, 1983

Pickover, Clifford A. "On the aesthetics of Sierpinski gaskets formed from large Pascal's triangles." Leonardo (1990): 411-417.

 List of illustrated species

  • Bengal tiger

  • Saiga tatarica

  • Ailurus Fulgens

  • Melursus Ursinus

  • grey crowned crane

  • Banded langur

  • pyxis planicauda

  • Presbytis siamensis

  • Andean bear

  • Thomas's langur 

  • pygmy spotted skunk

  • Sumatran surili

  • Presbytis thomasi

  • Trithemis nigra

  • phoenicopterus chilensis

  • Pithecia Satanas

  • peroryctes raffrayanus

  • Papio Leucophaeus 

  • Pardofelis temminckii

  • Pardofelis marmorata

  • mouse lemur

  • Mus booduga

  • Mycetes Ursinus

  • Muriquis

  • Osmoderma barnabita

  • European roller

  • tragulus mannima 

  • James Flamingo

  • Black spider monkey

  • formicinae

  • Acroloxus tetensi

  • Actinonaias ligamentina

  • Alasmidonta mccordi

  • Bombus franklini

  • Blind Mole

  • Lesser white-fronted goose

  • afrithelphusa monodosa

  • peninsula skolly

  • Ellobius talpinus

 

  • Hapale Jacchus

  • Hippopus Hippopus

  • Sloth bear

  • Madagascar Fish Eagle 

  • Storm's stork

  • Butis butis

  • Arnoglossus Laterna

  • Chalicodoma pluto

  • little spotted kiwi

  • Chlorurus Rhakoura 

  • clapper rail 

  • Eupodotis_indica/ lesser florican

  • Greater adjutant

  • Red-breasted_goose_arp

  • Green peafowl

  • Baer's pochard

  • Masked finfoot

  • Oriental stork

  • white winged duck

  • Anegada ground iguana

  • Galapagos penguin

  • Northern bald ibis

  • Pink Pigeon

  • akepa bird Hawaii

  • Bell's-Vireo

  • black billed magpie

  • Bridled white eye

  • crowned-eagel

  • elegant_sunbird

  • Hawaiian crow

  • Golden-cheeked warbler

  • Imperial woodpecker

  • Imperial amazaon/ Imperial Les

  • Ivory-billed woodpecker

  • Little spotted kiwi

  • Madagascan fish eagle

  • Peruvian plantcutter

  • Marbled murrelet

  • Mauritius fody

  • Purple-backed sunbeam

  • Red-crowned crane

  • Swan goose

  • Takahe

  • Tricolored blackbird

  • Whooping crane

  • Yellow eared parrot

  • Cheetah

  • European sea sturgeon

  • Arabian oryx

  • Bactrian camel

  • Amur leopard

  • Asiatic lion

  • Aye-aye

  • Bagarius yarrelli

  • Baiji

  • White-throated grasswren/ Amytornis_woodwardi

  • Anguilla bengalensis

  • Anoa

  • African Wild Dog

  • African wild Ass

  • Addax

  • Virgin Islands tree boa

  • Painted terrapin

  • Yellow-margined box turtle

  • White Tiger

  • Western leopard toad

  • Saola

  • Beluga

  • Panda

  • Philippine eagle

  • Eastern (mountain) gorilla

  • Mediterranean monk seal

  • Magicicada septendecim/ Pharaoh cicada

  • Loggerhead sea turtle/ Caretta Caretta

  • Leatherback sea turtle

  • Bolyeriidae

  • Greater bamboo lemur

  • green-adult-David Schrichte/ green sea turtle

  • Iberian lynx

  • Delta green ground beetle

  • Javan Rhino

  • kakapo

  • Southern bluefin tuna

  • Shortfin mako shark

  • Alabama Cavefish

  • European eel (Anguilla anguilla)

  • Spix's Macaw Cyanopsitta spixii 

  • Snowy plover

  • Steller's eider

  • Greater prairie chicken

  • Kirtland's warbler

  • Honduran white bat

  • Rhynochetos jubatus

  • Komodo Dragon

  • Panthera leo (Lion)

  • Axolotl

  • Meganeura

  • Anolis pogus

  • Panamint alligator lizard

  • Galápagos Sea Lion

  • Steller Sea Lion

  • Leptobrachium leucops

  • Abronia deppii

  • Lucanus cervus

  • Formica rufibarbis

  • Pareulype berberata

  • Gryllus campestris

  • Coenagrion mercuriale

  • Pseudepipona herrichii

  • Cryptocephalus coryli

  • Cheirotonus jambar

  • Coxoplectoptera

  • Rhaphiomidas terminatus 

  • Polyphylla barbata

  • Katipo

  • Polposipus herculeanus

  • Great raft spider

  • Blackburn’s sphinx moth

  • Bighead catshark

  • Halichoeres socialis

  • Commelina erecta (Plant)

  • Mahe Caecilian

  • Williamsonia lintner

  • Bithynia skadarskii

  • Splendid Cruiser

  • Nahacky's Angelfish

  • Blackbanded Sunfish

  • Actinonaias pectorosa

  • Acroloxus macedonicus