text-only page produced automatically by LIFT Text Transcoder Skip all navigation and go to page contentSkip top navigation and go to directorate navigationSkip top navigation and go to page navigation
National Science Foundation Home National Science Foundation - Mathematical & Physical Sciences (MPS)
Mathematical Sciences (DMS)
design element
DMS Home
About DMS
Funding Opportunities
Awards
News
Events
Discoveries
Publications
Career Opportunities
Reports
Become a Reviewer
DMS Staff Picture Gallery
View DMS Staff
MPS Organizations
Astronomical Sciences (AST)
Chemistry (CHE)
Materials Research (DMR)
Mathematical Sciences (DMS)
Physics (PHY)
Office of Multidisciplinary Activities (OMA)
Proposals and Awards
Proposal and Award Policies and Procedures Guide
  Introduction
Proposal Preparation and Submission
bullet Grant Proposal Guide
  bullet Grants.gov Application Guide
Award and Administration
bullet Award and Administration Guide
Award Conditions
Other Types of Proposals
Merit Review
NSF Outreach
Policy Office
Other Site Features
Special Reports
Research Overviews
Multimedia Gallery
Classroom Resources
NSF-Wide Investments

Email this pagePrint this page
All Images


Press Release 07-029
A Mathematical Solution for Another Dimension

New tool could drive breakthroughs in several disciplines

Back to article | Note about images

The E8 root system consists of 240 vectors in an 8-dimensional space.

The E8 root system consists of 240 vectors in an 8-dimensional space. Those vectors are the vertices (corners) of an 8-dimensional object called the Gosset polytope 421. In the 1960s, Peter McMullen drew by hand a 2-dimensional representation of the Gosset polytope 421. This image was computer generated by John Stembridge, based on McMullen's drawing.

Credit: John Stembridge, University of Michigan


Download the high-resolution JPG version of the image. (426 KB)

Use your mouse to right-click (Mac users may need to Ctrl-click) the link above and choose the option that will save the file or target to your computer.

The Atlas project members

The Atlas project members

Credit: American Institute of Mathematics


Download the high-resolution JPG version of the image. (268 KB)

Use your mouse to right-click (Mac users may need to Ctrl-click) the link above and choose the option that will save the file or target to your computer.

Atlas of Lie Groups Project members Fokko du Cloux (left) and Jeffrey Adams discuss E8.

Atlas of Lie Groups Project members Fokko du Cloux (left) and Jeffrey Adams discuss E8 at the 2005 Atlas conference at the American Institute of Mathematics.

Credit: Wai Ling Yee


Download the high-resolution JPG version of the image. (256 KB)

Use your mouse to right-click (Mac users may need to Ctrl-click) the link above and choose the option that will save the file or target to your computer.



Email this pagePrint this page
Back to Top of page