Math
Margaret Kepner, independent artist, received First Prize Award for her work, "Magic
Square 25 Study" at the 2011 Joint Mathematics Meetings in New Orleans.
"Magic Square 25 Study" (2010) is an archival inkjet print. Kepner described the work
in the exhibition catalog: "Magic squares are numerical arrays that have substructures
with constant sums. This design is based on a magic square of order 25, containing
the numbers from 0 to 624. Each row, column, and main diagonal sums to the 'magic
constant' of 7800. The numbers in the magic square are represented by a visual base-5
system: four concentric squares serve as the 1, 5, 25, and 125 places, while shades
of grey stand for the numerals 0 to 4. Coding the numbers into their base-5 versions
yields a pattern of 625 unique, nested-squares in shades of grey. This particular
magic square also has a substructure of 25 mini-squares of size 5. Each of these mini-squares
is "magic" (although the numbers are not consecutive), with rows, columns, and diagonals
summing to 1560. In addition, certain other groups of 5 squares add up to 1560. Examples
are the quincunx and the plus-sign s hapes (when fully contained in a m ini-square).
The colored accents are used to indicate a few of these 'magic' substructures."
A spiral is formed as square structures rotate along the span of the High Trestle
Trail bicycle bridge in central Iowa. The 41 steel structures that arch over the bridge
were originally designed to represent the support cribs historically used in coal
mines. Photo by M. E. (Murphy) Waggoner (Simpson College).
Hyperbolic Isometry in the Disk with Symmetrical Cuts Model from bulatov.org. This
is a cool animation. At each moment, this movie shows you a tiling of the hyperbolic
plane by pentagons, four meeting at each corner, mapped onto a disc with four slits
cut out. This mapping is conformal, meaning that it preserves angles. As time passes,
the hyperbolic plane rotates and we see this crazy movie. (h/t John Baez)
Forest pi found by Kenneth Vincent in Pacific Spirit Park, Vancouver, BC
Anne Burns (Long Island University) received Third Place for "Circles on Orthogonal
Circles" in the 2011 Mathematical Art Exhibition Awards at the 2011 Joint Mathematics
Meetings in New Orleans.
A tile mural at the Mathematical Sciences Research Institute in Berkeley, Calif.,
includes a pi tile.
Weirs on the Avon River in Bath, England, look like nested parabolas. Photo taken
by Karl Schmerbauch.
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