### Fractal Art Combines Math and Computing

May 12, 2014

You don’t need to be a mathematician to appreciate the beauty and elegance of fractal geometries, those infinitely complex patterns that are self-similar across different scales. Recently, a group of computing and software students from McMaster University in Ontario, Canada, created stunning fractal geometries using the University of Toronto’s powerful IBM Blue Gene/Q supercomputer.

Despite being generated by a simple mathematical formula, the resulting images appear in infinite variations. The word “fractal,” Latin for broken or fractured, was coined by mathematician Benoit Mandelbrot in 1975. Initially applied to theoretical fractional dimensions, the term was extended to include geometric patterns in nature.

“Each pixel in an image is assigned coordinates,” explains Ned Nedialkov, associate professor in computing and software. “These starting coordinates are then fed into a formula, resulting in new coordinates, which are plugged into the same formula for the next iteration, and so on.”

Exploring a fractal can be compared to zooming in and out on a digital map.

“Imagine the whole eastern coast of Canada laid out on a map,” Nedialkov adds. “Then, as you zoom in and get closer, you can see the actually coast line, then the details of the beach, individual stones, pieces of sand, and then every molecule that makes up the sand.”

The shapes that unfold at each magnification level are based on computations that would take months to complete on a standard desktop computer. With supercomputers like the Blue Gene, that time is condensed to a matter of hours.

The Mandelbrot set fractal, brought to life in the video below, used 1,024 Blue Gene cores and took about nine and a half hours to execute. Named in honor of the famed mathematician, the set illustrates self-similarity – meaning as the image is enlarged, the same general pattern re-appears. This is in contrast to another type of fractal, which has shapes that are exactly the same at every scale.

## ASC23: LINPACK Results

May 30, 2023

With ISC23 now in the rearview mirror, let’s get back to the results from the ASC23 Student Cluster Competition. In our last articles, we looked at the competition and applications,  plus introduced the teams, now it� Read more…

May 30, 2023

In the wake of SC22 last year, HPCwire wrote that “the conference’s eyes had shifted to carbon emissions and energy intensity” rather than the historical emphasis on flops-per-watt and power usage effectiveness (PU Read more…

## Nvidia Launches Spectrum-X Networking Platform for Generative AI

May 29, 2023

Nvidia launched a new Ethernet-based networking platform – the Nvidia Spectrum-X – that targets generative AI workloads. Based on tight coupling of the Nvidia Spectrum-4 Ethernet switch with the Nvidia BlueField-3 D Read more…

## Nvidia Announces Four Supercomputers, with Two in Taiwan

May 29, 2023

At the Computex event in Taipei this week, Nvidia announced four new systems equipped with its Grace- and Hopper-generation hardware, including two in Taiwan. Those two are Taiwania 4, powered by Nvidia’s Grace CPU Sup Read more…

## Nvidia Announces New ‘1 Exaflops’ AI Supercomputer; Grace-Hopper in ‘Full Production’

May 28, 2023

We in HPC sometimes roll our eyes at the term “AI supercomputer,” but a new system from Nvidia might live up to the moniker: the DGX GH200 AI supercomputer. Announced tonight (mid-day Monday in Taiwan) at Computex in Read more…

## AWS Solution Channel

### Introducing GPU health checks in AWS ParallelCluster 3.6

GPU failures are relatively rare but when they do occur, they can have severe consequences for HPC and deep learning tasks. For example, they can disrupt long-running simulations and distributed training jobs. Read more…

### New Thoughts on Leveraging Cloud for Advanced AI

Artificial intelligence (AI) is becoming critical to many operations within companies. As the use and sophistication of AI grow, there is a new focus on the infrastructure requirements to produce results fast and efficiently. Read more…

## Closing ISC Keynote by Sterling and Suarez Looks Backward and Forward

May 25, 2023

ISC’s closing keynote this year was given jointly by a pair of distinguished HPC leaders, Thomas Sterling of Indiana University and Estela Suarez of Jülich Supercomputing Centre (JSC). Ostensibly, Sterling tackled the Read more…

## ASC23: LINPACK Results

May 30, 2023

With ISC23 now in the rearview mirror, let’s get back to the results from the ASC23 Student Cluster Competition. In our last articles, we looked at the compet Read more…

May 30, 2023

In the wake of SC22 last year, HPCwire wrote that “the conference’s eyes had shifted to carbon emissions and energy intensity” rather than the historical Read more…

## Nvidia Announces Four Supercomputers, with Two in Taiwan

May 29, 2023

At the Computex event in Taipei this week, Nvidia announced four new systems equipped with its Grace- and Hopper-generation hardware, including two in Taiwan. T Read more…

## Nvidia Announces New ‘1 Exaflops’ AI Supercomputer; Grace-Hopper in ‘Full Production’

May 28, 2023

We in HPC sometimes roll our eyes at the term “AI supercomputer,” but a new system from Nvidia might live up to the moniker: the DGX GH200 AI supercomputer. Read more…

## Closing ISC Keynote by Sterling and Suarez Looks Backward and Forward

May 25, 2023

ISC’s closing keynote this year was given jointly by a pair of distinguished HPC leaders, Thomas Sterling of Indiana University and Estela Suarez of Jülich S Read more…

## The Grand Challenge of Simulating Nuclear Fusion: An Overview with UKAEA’s Rob Akers

May 25, 2023

As HPC and AI continue to rapidly advance, the alluring vision of nuclear fusion and its endless zero-carbon, low-radioactivity energy is the sparkle in many a Read more…

## MareNostrum 5 Hits Speed Bumps; Iconic Chapel to Host Quantum Systems

May 23, 2023

MareNostrum 5, the next-generation supercomputer at the Barcelona Supercomputing Center (BSC) and one of EuroHPC’s flagship pre-exascale systems, has had a di Read more…

## ISC Keynote: To Reinvent HPC After Moore’s Law, Follow the Money

May 23, 2023

This year’s International Supercomputing Conference (ISC) kicked off yesterday in Hamburg, Germany, with a keynote from Dan Reed, presidential professor at th Read more…

## CORNELL I-WAY DEMONSTRATION PITS PARASITE AGAINST VICTIM

October 6, 1995

Ithaca, NY --Visitors to this year's Supercomputing '95 (SC'95) conference will witness a life-and-death struggle between parasite and victim, using virtual Read more…

## SGI POWERS VIRTUAL OPERATING ROOM USED IN SURGEON TRAINING

October 6, 1995

Surgery simulations to date have largely been created through the development of dedicated applications requiring considerable programming and computer graphi Read more…

## U.S. Will Relax Export Restrictions on Supercomputers

October 6, 1995

New York, NY -- U.S. President Bill Clinton has announced that he will definitely relax restrictions on exports of high-performance computers, giving a boost Read more…

## Dutch HPC Center Will Have 20 GFlop, 76-Node SP2 Online by 1996

October 6, 1995

Amsterdam, the Netherlands -- SARA, (Stichting Academisch Rekencentrum Amsterdam), Academic Computing Services of Amsterdam recently announced that it has pur Read more…

## Cray Delivers J916 Compact Supercomputer to Solvay Chemical

October 6, 1995

Eagan, Minn. -- Cray Research Inc. has delivered a Cray J916 low-cost compact supercomputer and Cray's UniChem client/server computational chemistry software Read more…

## NEC Laboratory Reviews First Year of Cooperative Projects

October 6, 1995

Sankt Augustin, Germany -- NEC C&C (Computers and Communication) Research Laboratory at the GMD Technopark has wrapped up its first year of operation. Read more…

## Sun and Sybase Say SQL Server 11 Benchmarks at 4544.60 tpmC

October 6, 1995

Mountain View, Calif. -- Sun Microsystems, Inc. and Sybase, Inc. recently announced the first benchmark results for SQL Server 11. The result represents a n Read more…

## New Study Says Parallel Processing Market Will Reach \$14B in 1999

October 6, 1995

Mountain View, Calif. -- A study by the Palo Alto Management Group (PAMG) indicates the market for parallel processing systems will increase at more than 4 Read more…

## CORNELL I-WAY DEMONSTRATION PITS PARASITE AGAINST VICTIM

October 6, 1995

Ithaca, NY --Visitors to this year's Supercomputing '95 (SC'95) conference will witness a life-and-death struggle between parasite and victim, using virtual Read more…

## SGI POWERS VIRTUAL OPERATING ROOM USED IN SURGEON TRAINING

October 6, 1995

Surgery simulations to date have largely been created through the development of dedicated applications requiring considerable programming and computer graphi Read more…

## U.S. Will Relax Export Restrictions on Supercomputers

October 6, 1995

New York, NY -- U.S. President Bill Clinton has announced that he will definitely relax restrictions on exports of high-performance computers, giving a boost Read more…

## Dutch HPC Center Will Have 20 GFlop, 76-Node SP2 Online by 1996

October 6, 1995

Amsterdam, the Netherlands -- SARA, (Stichting Academisch Rekencentrum Amsterdam), Academic Computing Services of Amsterdam recently announced that it has pur Read more…

## Cray Delivers J916 Compact Supercomputer to Solvay Chemical

October 6, 1995

Eagan, Minn. -- Cray Research Inc. has delivered a Cray J916 low-cost compact supercomputer and Cray's UniChem client/server computational chemistry software Read more…

## NEC Laboratory Reviews First Year of Cooperative Projects

October 6, 1995

Sankt Augustin, Germany -- NEC C&C (Computers and Communication) Research Laboratory at the GMD Technopark has wrapped up its first year of operation. Read more…

## Sun and Sybase Say SQL Server 11 Benchmarks at 4544.60 tpmC

October 6, 1995

Mountain View, Calif. -- Sun Microsystems, Inc. and Sybase, Inc. recently announced the first benchmark results for SQL Server 11. The result represents a n Read more…

## New Study Says Parallel Processing Market Will Reach \$14B in 1999

October 6, 1995

Mountain View, Calif. -- A study by the Palo Alto Management Group (PAMG) indicates the market for parallel processing systems will increase at more than 4 Read more…