November 30, 2015

Folding Math


Mathematical origami models created by mathematician Thomas C. Hull.




Tom Hull at work, Joint Mathematics Meetings, New Orleans, 2007.

For more mathematical origami, see "Pleated Cone" and "Folding a Klein Bottle."

Photos by I. Peterson

November 29, 2015

Ordovician Catenoids


Ordovician Pore by Tony Cragg features objects that look like catenoids. Walker Art Center, Minneapolis, Minnesota.


Photos by I. Peterson

November 28, 2015

Cracked Globe


Globe inscribed with lines of  latitude and longitude, Alumni Plaza, East Tennessee State University, Johnson City, Tennessee.

Photo by I. Peterson

November 27, 2015

Ancient Floor Tile


Maze-like pattern on a portion of a type of tile used in China about 2,000 years ago. Royal Ontario Museum, Toronto.


Photos by I. Peterson

November 26, 2015

Meshed Column


Untitled sculpture by Linda Howard, University of North Florida, Jacksonville, Florida.



For other sculptures by Linda Howard, see "Geometreks in New Orleans" and "Centerpeace."


Photos by I. Peterson

November 25, 2015

Trees in Mist


Fir trees in mist, Lake Winona, Winona, Minnesota.

Photo by I. Peterson

November 24, 2015

Arched Passageway


Arched passageway, Kauke Hall, College of Wooster, Wooster, Ohio.



Photos by I. Peterson

November 23, 2015

Moebius Inclusion


The logo for the Inclusion Center for Community and Justice, housed at Westminster College, Salt Lake City, Utah, features a Moebius strip.

For other sightings of Moebius strips, see "Topological Sculpture at Queen's," "Endless Train Track," "Endless Ribbon," "Mobius in Toronto," and "Recycling Arrows."

Photo by I. Peterson

November 22, 2015

Triangulated Spiral


Triangulated spiral sculpture, Sixteen Billion Years by Pat MonkAmerican Center for Physics, College Park, Maryland.

Photo by I. Peterson

November 21, 2015

Polar Skylight


The glass dome of the Galleria Vittorio Emanuele II in Milan, Italy, looks like polar graph paper.

Photo by I. Peterson

November 20, 2015

Coxeter's Piano


This piano, now (and still used) at the Fields Institute for Research in Mathematical Sciences in Toronto, belonged to famed geometer H.S.M. "Donald" Coxeter (1907-2003). The piano was given by Coxeter's father to his mother at the time of Coxeter's birth and remained with him for his entire life. He composed music in his youth and was an accomplished pianist by age 10.


The piano stands beneath a magnificent spiral staircase at the Fields Institute.

For other features of the Fields Institute, see "Mobile of the Fourth Dimension" and "Borromean Triangles."

Photos by I. Peterson

November 19, 2015

Organ Pipe Distributions


The physics of sound production in organ pipes to generate musical tones leads to a distribution of pipes of various sizes, which can be arranged into aesthetically pleasing arrays. Wicks Organ, Munsey Memorial United Methodist Church, Johnson City, Tennessee, 2008.


See also "Three Bells."

Photos by I. Peterson

November 18, 2015

Anamorphic Stop


The letters of the word "stop," painted near a street corner, are stretched vertically so that the sign would appear "normal" from a driver's viewpoint.



Photos by I. Peterson

November 17, 2015

Chiralized Tetrahedron


Eltanin by Bathsheba L. Grossman, Laboratory for Research on the Structure of Matter, University of Pennsylvania, Philadelphia. The sculpture has the symmetry of a chiralized tetrahedron.

Photo by I. Peterson

November 16, 2015

Palms at Dawn


San Diego, California, 2013.

Photo by I. Peterson

November 15, 2015

Cogged Wheel


Cogged wheel in stained glass, Winona, Minnesota.

Photo by I. Peterson

November 14, 2015

Dome Lights


Lines, arcs, and dome lights, designed by Frank Lloyd WrightMonona Terrace, Madison, Wisconsin.


For more from Madison, Wisconsin, see "Geometreks in Madison I: Van Vleck Hall." 

Photos by I. Peterson

November 13, 2015

Xs and an O


Manhole cover pattern, Pittsburgh, Pennsylvania.


Photos by I. Peterson

November 12, 2015

Lines and Branches


Fractal-like tree branches and puffy clouds contrast with power lines, Palo Alto, California.


Photos by I. Peterson

November 11, 2015

Pythagorean Hints


Hints of a visual proof of the Pythagorean theorem in a pattern on a glass panel? Friendship Heights, Maryland.



Photos by I. Peterson

November 10, 2015

Casa Mila


Casa Mila (La Pedrera) by Antoni Gaudi, Barcelona.


Photos by I. Peterson

November 9, 2015

Gyrangle


Gyrangle (detail), designed by George W. Hart, on display at Towson University, 2012.


This modular structure, based on a gyroid surface, was assembled from 490 hollow triangles.

For another gyroid surface, see "Gyroid Climber."

Photos by I. Peterson

November 8, 2015

Ancient Mosaic Design


Geometric design on mosaic panel, 5th century A.D., Antioch, Baltimore Museum of Art.

For other objects and artworks at the Baltimore Museum of Art, see "Solomon's Knot" and "Endless Ribbon."

Photo by I. Peterson

November 7, 2015

Pencil Structure


Geometrical structure consisting of four intersecting hexagonal tubes, created from 148 pencils by members of workshops at the American Institute of Mathematics.


This pencil structure (left) is a variant of the 72 Pencils sculpture created by George W. Hart.

Instructions for creating a geometric structure from 72 pencils.

More from the American Institute of Mathematics at "AIM Mural."

Photos by I. Peterson

November 6, 2015

Cubed Curve


Cubed Curve by William CrovelloTime-Life building, New York City.

Photo by I. Peterson

November 5, 2015

Window on the Future


Fenêtre sur l'avenir by Marcel Barbeau, James Sculpture Garden, McGill University, Montreal.

Photo by I. Peterson

November 4, 2015

November 3, 2015

Avalanche Layering


A mixture of black and white grains arranges itself into distinct layers in the "Avalanche" exhibit at the Exploratorium, San Francisco.




Photos by I. Peterson

November 2, 2015

Open Boxes


Arrangement of open boxes representing collaboration, Carnegie Mellon University, Pittsburgh, Pennsylvania, 2010.


"Collaboration, mentoring, creativity" represented in sets of open boxes.

Photos by I. Peterson