Math Forum Internet News

Volume 9, Number 32

___________________________________________
Back to Table of Contents
___________________________________________

9 August 2004                                      Vol. 9, No. 32

                  THE MATH FORUM INTERNET NEWS

        Alison Miller | Problems of the Week | Tool Fest
       An Amazing, Space Filling, Non-Regular Tetrahedron


                    CONGRATULATIONS, ALISON!

     http://mathforum.org/announce/congrats_alison.html

  Alison Miller returned from Athens, Greece, with a gold
  medal from the 45th International Mathematical Olympiad (IMO).
  In helping the team from the United States finish second
  among the 85 participating countries -- its best medal count
  and highest placing in a decade -- the homeschooled teen from
  Niskayuna, New York, became the first ever female gold medal
  winner for a team from the USA. Alison credits her
  participation in the Math Forum's Geometry Problem of the
  Week service as her first experience with expository writing
  in mathematics.
                            \|/

             PROBLEM OF THE WEEK - THE MATH FORUM

                 http://mathforum.org/pow/

  The Math Forum's Problems of the Week (PoWs) are designed to
  provide creative, non-routine challenges for students in
  grades three through twelve. Problem-solving and mathematical
  communication are key elements of every PoW.

-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-

                MATH AND TECHNOLOGY TOOL FEST

         http://mathforum.org/workshops/toolfest04/

  Nineteen participants who travelled to Philadelphia and
  twenty-three online members of the Math Tools community have
  spent the week getting familiar with the recently implemented
  features of the Math Tools site. They have collaborated to
  create classroom activities, software-related resources, and
  services for themselves and others.

  Onsite Participants
  http://mathforum.org/workshops/toolfest04/onsite/

  Online Participants
  http://mathforum.org/workshops/toolfest04/online/

  The Tool Fest's schedule has provided opportunities for
  presentations of tools, conversations about how to teach with
  them, and discussions of favorite tools:

  Hot Topics
  http://mathforum.org/workshops/toolfest04/hottopics.html

-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-

      AN AMAZING, SPACE FILLING, NON-REGULAR TETRAHEDRON

       http://mathforum.org/pcmi/hstp/resources/dodeca/

  In "On the Heavens," written in 350 B.C., Aristotle
  proclaimed that the regular tetrahedron fills space with no
  gaps. He was mistaken. However, a particular tetrahedron,
  with dimensions derived from the cube, does fill space.
  This non-regular tetrahedron, and its closely related
  polyhedra -- the cube, the rhombic dodecahedron, and the
  first stellation of the rhombic dodecahedron -- share
  dimensions and space filling properties.

  The rhombic dodecahedron derives its name from its twelve
  ("dodeca-") faces, all of which are congruent rhombi, each
  formed by joining two tetrahedra. In this article, Peg Cagle
  and Joyce Frost explore these related polyhedra, showing how
  to exploit their space filling properties to create nets for
  three intriguing puzzles.
            
-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-

                      CHECK OUT OUR WEB SITE:

        The Math Forum  http://mathforum.org/
          Ask Dr. Math  http://mathforum.org/dr.math/
  Problems of the Week  http://mathforum.org/pow/
   Mathematics Library  http://mathforum.org/library/
            Math Tools  http://mathforum.org/mathtools/
       Teacher2Teacher  http://mathforum.org/t2t/
     Discussion Groups  http://mathforum.org/discussions/
   Join the Math Forum  http://mathforum.org/join.forum.html
      Send comments to  the Math Forum Internet Newsletter editors
             Donations  http://deptapp.drexel.edu/ia/GOL/giftsonline1_MF.asp
    Ask Dr. Math Books  http://mathforum.org/pubs/dr.mathbooks.html

   _o    \o_       __|    \ /     |__        o _   o/  \o/
  __|- __/   \__/o   \o    |    o/    o/__/  /\   /|    |
     \   \   /  \    / \  /o\  / \    /   \  / |  / \  / \

[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help 
_____________________________________

© 1994-2014 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.
Math Forum Internet Newsletter editors