Skip to main content
Home
plus.maths.org

Secondary menu

  • My list
  • About Plus
  • Sponsors
  • Subscribe
  • Contact Us
  • Log in
  • Main navigation

  • Home
  • Articles
  • Collections
  • Podcasts
  • Maths in a minute
  • Puzzles
  • Videos
  • Topics and tags
  • For

    • cat icon
      Curiosity
    • newspaper icon
      Media
    • graduation icon
      Education
    • briefcase icon
      Policy

    Popular topics and tags

    Shapes

    • Geometry
    • Vectors and matrices
    • Topology
    • Networks and graph theory
    • Fractals

    Numbers

    • Number theory
    • Arithmetic
    • Prime numbers
    • Fermat's last theorem
    • Cryptography

    Computing and information

    • Quantum computing
    • Complexity
    • Information theory
    • Artificial intelligence and machine learning
    • Algorithm

    Data and probability

    • Statistics
    • Probability and uncertainty
    • Randomness

    Abstract structures

    • Symmetry
    • Algebra and group theory
    • Vectors and matrices

    Physics

    • Fluid dynamics
    • Quantum physics
    • General relativity, gravity and black holes
    • Entropy and thermodynamics
    • String theory and quantum gravity

    Arts, humanities and sport

    • History and philosophy of mathematics
    • Art and Music
    • Language
    • Sport

    Logic, proof and strategy

    • Logic
    • Proof
    • Game theory

    Calculus and analysis

    • Differential equations
    • Calculus

    Towards applications

    • Mathematical modelling
    • Dynamical systems and Chaos

    Applications

    • Medicine and health
    • Epidemiology
    • Biology
    • Economics and finance
    • Engineering and architecture
    • Weather forecasting
    • Climate change

    Understanding of mathematics

    • Public understanding of mathematics
    • Education

    Get your maths quickly

    • Maths in a minute

    Main menu

  • Home
  • Articles
  • Collections
  • Podcasts
  • Maths in a minute
  • Puzzles
  • Videos
  • Topics and tags
  • Audiences

    • cat icon
      Curiosity
    • newspaper icon
      Media
    • graduation icon
      Education
    • briefcase icon
      Policy

    Secondary menu

  • My list
  • About Plus
  • Sponsors
  • Subscribe
  • Contact Us
  • Log in
  • Polygons in space

    by
    Rachel Thomas
    10 April, 2007
    10/04/2007


    We may not have found other life in our Solar System, but we have, it appears, found a polygon. An odd, six-sided, honeycomb-shaped feature circling the entire north pole of Saturn has captured the interest of scientists with NASA's Cassini mission.

    This nighttime view of Saturn's north pole by the <br>visual and infrared mapping spectrometer on board<br> NASA's Cassini orbiter clearly shows a bizarre <br>six-sided hexagon feature encircling the entire <br>north pole. Credit: NASA/JPL/University of Arizona

    This nighttime view of Saturn's north pole by the
    visual and infrared mapping spectrometer onboard
    NASA's Cassini orbiter clearly shows a bizarre
    six-sided hexagon feature encircling the entire
    north pole. Credit: NASA/JPL/University of Arizona

    NASA's Voyager 1 and 2 spacecraft produced images of the hexagon over two decades ago. The fact that it has appeared in the recent Cassini images indicates that it is a long-lived feature. A second hexagon, significantly darker than the brighter historical feature, is also visible in the Cassini pictures. The spacecraft's visual and infrared mapping spectrometer is the first instrument to capture the entire hexagon feature in one image.

    "This is a very strange feature, lying in a precise geometric fashion with six nearly equally straight sides," said Kevin Baines, atmospheric expert and member of Cassini's visual and infrared mapping spectrometer team at NASA's Jet Propulsion Laboratory. "We've never seen anything like this on any other planet. Indeed, Saturn's thick atmosphere where circularly-shaped waves and convective cells dominate is perhaps the last place you'd expect to see such a six-sided geometric figure, yet there it is."

    The hexagon is similar to Earth's polar vortex, which has winds blowing in a circular pattern around the polar region. On Saturn, the vortex has a hexagonal rather than circular shape. The hexagon is nearly 25,000 kilometers across. Nearly four Earths could fit inside it. (You can see a movie of the rotating hexagon at NASA.)

    The new images taken in thermal-infrared light show the hexagon extends much deeper down into the atmosphere than previously expected, some 100 kilometers below the cloud tops. A system of clouds lies within the hexagon. The clouds appear to be whipping around the hexagon like cars on a racetrack.

    "It's amazing to see such striking differences on opposite ends of Saturn's poles," said Bob Brown, team leader of the Cassini visual and infrared mapping spectrometer. "At the south pole we have what appears to be a hurricane with a giant eye, and at the north pole of Saturn we have this geometric feature, which is completely different."

    The Saturn north pole hexagon has not been visible to Cassini's visual cameras, because it's winter in that area, so the hexagon is under the cover of the long polar night, which lasts about 15 years. The infrared mapping spectrometer can image Saturn in both daytime and nighttime conditions and see deep inside. It used thermal wavelengths near 5 microns (seven times the wavelength of light visible to the human eye) during a 12-day period beginning on 30 October 2006 to create an image of the hexagon. As winter wanes over the next two years, the hexagon may become visible to the visual cameras.

    Based on the new images and more information on the depth of the feature, scientists think it is not linked to Saturn's radio emissions or to auroral activity, as once contemplated, even though Saturn's northern aurora lies nearly overhead.

    The hexagon appears to have remained fixed with Saturn's rotation rate and axis since first glimpsed by Voyager 26 years ago. The actual rotation rate of Saturn is still uncertain.

    "Once we understand its dynamical nature, this long-lived, deep-seated polar hexagon may give us a clue to the true rotation rate of the deep atmosphere and perhaps the interior," added Baines.

    Read more about...
    geometry
    astronomy
    • Log in or register to post comments

    Read more about...

    geometry
    astronomy
    University of Cambridge logo

    Plus is part of the family of activities in the Millennium Mathematics Project.
    Copyright © 1997 - 2025. University of Cambridge. All rights reserved.

    Terms