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The Mathematics of Opt Art – Scientific American

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It’s no secret that constraints can help artists unlock their creativity. The Oulipo literary movement embraces constraints like writing a novel without the letter e; painter Piet Mondrian created iconic works of art using only primary colors within rectilinear black and white grids; 12-tone serialism in music, in which composers set strict rules for themselves about which notes can occur in which order in their work. In all of these endeavors, constraints helped artists find creative solutions to their artistic puzzles. In his recent book Opt Art, Robert Bosch describes the constraints he applies to the art he creates and the computational and mathematical tools with which he satisfies those constraints. 

Each chapter introduces an optimization problem—e.g. approximating images using particular tiles—and an accessible explanation of how to translate the problem into the language of mathematics and solve it using computational tools. 

Many of the examples in the book are mosaics made using different types of tiles. French priest and mathematician Sébastien Truchet appears in a portrait using modified Truchet tiles, and Barack Obama is made of 44 complete sets of double-9 dominoes. (As those examples indicate, his work is frequently playful.) 

Sebastian Truchet in Truchet tiles. Credit: Robert Bosch

Other pieces use the traveling salesman problem instances or knight’s tours to create line art. The traveling salesman problem is to find the shortest path between a given number of points or cities, and a knight’s tour is a path on a chessboard that visits every square exactly once using moves knights can make in chess. (I wrote about Bosch’s TSP art in 2015. It was my introduction to his work, and I’ve been a fan ever since.)

For many image types, the basic idea is to pixelate the image using a grid of the desired resolution and approximate each pixel with the type of tile you’re using. This technique makes the problems discrete, so, the tools to solve them come from the field of linear optimization. From a finite number of possible arrangements of tiles or lines connecting a group of points, can we find one that minimizes or maximizes particular quantities we have chosen?

While it’s fun to learn about the math and programming tools, I thought the most valuable thing about the book was the way Bosch gives us a peek into the more subjective side of his work: how he chooses what constraints to use with what media, and the different results that can happen when he makes different choices.

A portrait of Barack Obama using 44 sets of double-9 dominoes
Barack Obama in dominoes. Credit: Robert Bosch

Opt Art is a fairly quick read, in part because it is so chock full of illustrations and in part because the mathematical techniques Bosch uses are at their core fairly simple. In some ways, the book is a tribute to the way the same few ideas from linear algebra can be applied to different problems to get a wide array of different results. (To be clear, this is not intended to trivialize Bosch’s work at all; I think there are an awful lot of important research projects that boil down to using the same few ideas from linear algebra to solve problems in different domains in engineering, math, and science!) 

Opt Art could be a good resource for an introductory course in linear optimization or for inspiration in a project-based linear algebra class. The writing is inviting, and Bosch gives motivated students and other readers the tools they will need to jump right in and start creating their own mosaics or other images using his ideas.

For those following along with my Math Reading Challenge, try this book for prompts 4 or 9. Very precocious babies can use it for prompt 2.

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Home + Away artwork opens in Vancouver’s Hastings Park

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A new art installation now towers over Vancouver’s Hastings Park fields in celebration of the city’s history of spectators and sports.

Home + Away is a sculpture by Seattle artists Annie Han and Daniel Mihalyo of Lead Pencil Studio, which opened Monday in the southeast end of the historic park.

It’s a 17-metre-tall structure that resembles a narrow set of bleachers — similar to the stands of the Empire Stadium, which stood on the site of the park from 1954 to 1993 and hosted The Beatles, among many others. It recalls a covered ski jump that stood there in the 1950s and the nearby wooden rollercoaster at the PNE.

The city says the public is invited to walk the stairs and sit on the benches.

“In addition to being visually striking, this artwork is intended to be ascended, sat on and experienced. It offers exciting experiences of height and views and provides 16 rows of seating for up to 49 people, making for a unique spectator experience when watching events at Empire Fields,” the city said in a release Monday.

The idea for the park to include public art was outlined in the Hastings Park “Master Plan,” first adopted by the city in 2010. The city says Han and Mihalyo first presented their design in 2015.

“It’s wonderful to see this piece realized within the context of such a well-used public space,” said Han.

Home + Away was inspired directly by the site history of spectatorship, and we hope it will connect Hastings Park users to that history and the majestic views of the environment for many decades to come,” added Mihalyo.

The artwork features a large light-up sign, in the style of a sports scoreboard, that reads “HOME” and “AWAY.”

 

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Bill Viola, Video Artist Who Established the Medium as an Integral Part of Contemporary Art, Dies at 73

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Bill Viola, whose decades-long engagement with video proved vital in establishing the medium as an integral part of contemporary art, died on July 12 at his home in Long Beach, California. He was at 73 years old. The cause was complications related to Alzheimer’s disease. The news of his passing was confirmed by James Cohan Gallery.

Viola’s works are centered around the idea of human consciousness and such fundamental experiences as birth, death, and spirituality. He delved into mystical traditions from Zen Buddhism to Islamic Sufism, as well as Western devotional art from the Middle Ages and the Renaissance in his videos, which often juxtaposed themes of life and death, light and dark, noise and silence. These explorations were achieved by submerging viewers in both image and sound with cutting-edge technologies for their time.

“I first used the camera and lens as a surrogate eye, to bring things closer, or to magnify them, to experiment with perception, to extend vision and make lengthy observations of simple objects,” Viola said in a 2015 interview. “Once you do that, their essence becomes visible. So I suppose I was always interested in the inner life of the world around me.”

Beginning in the 1970s, Viola created videotapes, architectural video installations, sound environments, electronic music performances, flat panel video pieces, and works for television broadcast—all of which expanded the scope of the medium and established Viola as one of its most notable practitioner.

Video still of a man diving into water that has been reversed. The image is mostly black and teal.

In 2003 the Whitney Museum of American Art in New York; Tate, London; and the Centre Pompidou in Paris jointly acquired Bill Viola’s 2001 three-channel video installation Five Angels for the Millennium.

Photo Kira Perov/©Bill Viola Studio

Bill Viola was born in 1951. He grew up in Queens and Westbury, New York, and attended P.S. 20 in Flushing, before receiving his BFA in experimental studios from Syracuse University in 1973. There, he studied with visual art with the likes of Jack Nelson and electronic music with Franklin Morris.

Following his graduation, between 1973 to 1980, Viola studied and performed with composer David Tudor in the music group Rainforest, which later became known as Composers Inside Electronics. He also worked as technical director at the pioneering video studio Art/tapes/22 in Florence, Italy from 1974 to 1976. During that time he encountered the work of other seminal video artists like Nam June Paik, Bruce Nauman, and Vito Acconci.

Viola was subsequently an artist-in-residence at New York’s WNET Thirteen Television Laboratory between 1976 to 1983, wherein he created a series of works that premiered on television. He traveled to the Solomon Islands, Java, and Indonesia to record traditional performing arts between 1976 and 1977. Later that year, Viola was invited to show work at La Trobe University in Melbourne, Australia, by cultural arts director Kira Perov, with whom he married and began a lifelong collaboration.

He was appointed an instructor in advanced video at the California Institute of the Arts in Valencia, California in 1983. He was the Getty Research Institute scholar-in-residence in Los Angeles in 1998 and was elected to the American Academy of Arts and Sciences in 2000.

In 1985, Viola received with a Guggenheim Fellowship for fine arts, and later that decade, in 1989, he was awarded the MacArthur “Genius” Fellowship. His work was also featured in some of the world’s most notable exhibitions, including Documenta VI in 1977, Documenta XI in 1992, the 1987 and 1993 editions of the Whitney Biennial, and the 2001 Venice Biennale.

In 1995, he represented the United States at the 46th edition of the Venice Biennale. For the pavilion, Viola produced the series of works “Buried Secrets,” including one of his most known works The Greeting, which offers a contemporary interpretation of Pontormo’s oil painting The Visitation (ca.1528–30). The Deutsche Guggenheim Berlin and New York’s Guggenheim Museum commissioned the digital fresco cycle in high-definition video, titled Going Forth By Day, in 2002.

Viola’s work was the subject of a major 25-year survey at the Whitney Museum of American Art in 1997, which subsequently toured internationally. His work has been the subject of major museum retrospectives in the years since, including at the Grand Palais in Paris (in 2014), the Palazzo Strozzi in Florence (2017), the Guggenheim Bilbao in Spain (2017), and the Barnes Foundation in Philadelphia (2019), as well as an exhibition pairing his work with that of Michelangelo at the Royal Academy of Art in London in 2019.

Viola is survived by his wife Kira Perov, who has been the executive director of his studio since 1978, and their two children.

“One thing that’s very exciting about video that has turned me on since I first saw this glowing image way back in 1970 is that it can be so much,” Viola said in a 1995 with Charlie Rose on the occasion of this US Pavilion at the Biennale. “Furthermore, what’s really exciting is I don’t think it’s been since really the Renaissance where artists have been able to use a medium that one could say is the dominant communication form in society.”

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Couple’s winning art projects adorn overpass

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Annabelle Harvey and Corbin Elliot are partners: in life, love, and art. Thanks to their creative pursuits, now they are also joined in the recognition of their work along the Lakeshore overpass.

The City of North Bay, in collaboration with the Public Art Advisory Committee (PAAC), recently held an event to acknowledge the successful applicants for the Lakeshore Drive overpass banner project. This initiative features 14 artworks created by local artists, highlighting the ongoing commitment to bringing public art to the community and celebrating local talent. The banners were installed early last week.

On behalf of PAAC, Katie Bevan noted that 71 submissions were received for the banner art project. “Selecting just 14 artworks from such outstanding submissions was no small feat. It truly highlights the incredible creativity within our community — and it’s only growing.”

Bevan acknowledged all who submitted their work and congratulated the 14 winners:

  • Caitlin Daniel
  • Corbin Elliot
  • Adam Fielder
  • Ian Gauthier
  • Ruby Grant
  • Annabelle Harvey
  • Penny Heather
  • Robert Johannsen
  • Robyn Jones
  • Gerry McComb
  • Victoria Primeau
  • Tessa Shank
  • Rana Thomas
  • Claudia Torres

“This is the first time I’ve participated in something city-wide, and I’ve been really interested in getting more involved in the art community,” said Harvey, a teacher by vocation when not helping to beautify North Bay. “I’ve worked a lot with the WKP Kennedy Gallery and I’ve been putting in submissions for some of their group shows. So, this is a cool opportunity to try something new. This is the first time I have done digital work. Usually, I like painting and collage. So I was interested just to try something new.”

In September 2023, public art gained more prominence in North Bay as 12 pieces by eight local artists selected by the Public Art Advisory Committee were placed on aluminum panels mounted onto the public buildings in both Champlain and Sunset parks.

Harvey’s partner Elliot is an emerging artist and a Fine Arts graduate from Nipissing University who says his passion for bringing his vision to life has only grown, thanks, in part, to these public art initiatives.

“There is so much opportunity to have a lot of different public art in different spaces,” he says. “So, when I saw that there was a variety of different artists and voices being accepted, of course, I wanted to have my vision out there in the city, to make my mark and be a part of that kind of trajectory of building the art scene within the city.”

The couple share a studio space, often working on separate projects at the same time while collaborating with encouragement and ideas.

“We are working on different mediums, a lot of the time,” Elliot said. “We have our own corners set up in the studio and I’ll usually be on my easel and Annabelle will be doing something…”

Harvey picked up his thought, “I’m usually at my desk doing pottery, jewellery, collage — I do a lot of different things.”

2024-07-12-lakeshore-overpass-banner-art-elliot-harvey-2-campaigne
Couple Annabelle Harvey and Corbin Elliot each earned a spot among the 14 winning banner art projects. Stu Campaigne/BayToday

For Harvey, working so closely together is her “favourite part, especially watching his creative process.”

Elliot added, “I think I’m more non-verbal as I’m creating. I often hear you saying, ‘Oh, I think I like this.'”

Both have active Instagram pages featuring their artwork, Harvey’s can be found here, and Elliot’s here.

Elliot has a show at the WKP Kennedy Gallery, entitled “Upon a Star,” opening Sept. 13. “I’ll have my own solo exhibition. I typically work in painting. I have a big body of work with paintings,” he said.

The City of North Bay and PAAC encourage everyone to take a moment to appreciate these works of art when passing by the overpass.

Harvey and Elliot are thrilled about the banner art project.

“It’s like seeing your vision come to life. We’ve had lots of friends, even before we saw them today say excitedly, ‘I saw your work on the overpass,’ it’s just a proud moment to have so many eyes on our work.”

 

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