Objects
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Geometric Transformations T-shirts -
Fashion statements that celebrate an Ernest Irving Freese dissection that is wonderfully hingeable!
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Jonathan Osborne, in East Peoria (in central Illinois), has used a 3D-printer to bring a hinged dissection from my book to life:
my swing-hinged version of the
Interlocks dissection of an equilateral triangle to a regular hexagon - See Figures I12a and I12b on page 45. - And Jonathan wrote:
"I liked this dissection in particular since it looks like some kind of insect/creature
when transitioning between the 2 shapes."
If you click on the "Thing Details", on the left beneath his photos,
Jonathan credits my book Ernest Irving Freese's Geometric Transformations. Thanks to Jonathan for citing my book!
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I am also excited to explore the possibility of getting other models of hinged dissections 3D-printed, and am in contact with Jon Osborne about this possibility. Below are photos of two additional models that Jon has already 3D-printed:
Click here to see the photos.
On the left in those photos is a model based on my hinged dissection of a Greek Cross to a regular hexagon,
from Figure 11.43 of my Hinged Dissections book,
and on the right, a model based on my hinged dissection of a regular hexagon to a dodecagon ring,
from Figures I88a and I88b on pages 102 and 103 of my book Ernest Irving Freese's Geometric Transformations.
You may also note that an RBG-colored illustration of that hinged dissection graces the cover of that latter book!
(I wonder if Jon could modify his specs for the latter model to 3D-print that model using the color scheme from the book cover,
using the same color scheme as I had used for my above 'Geometric Transformations T-shirts'.
Now that would really be so cool!)
Here are 3 more photos elaborating on the model of the Greek Cross to the regular hexagon:
---> (Yet to be filled in by me!!) <---
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Mike Eisenberg, who had been a professor in the Computer Science department at the University of Colorado, Boulder, up until his death in 2019,
had written a very nice review of my 2002 book on hinged dissections,
which indicated the connection between hinged dissections and the making of 3D-printed models (i.e., the "Maker Movement"), almost two decades before I learned that such models were even possible!
People and Projects from the past
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Ernest Irving Freese's photograph and "autobiography" (approx 46K).
From Pencil Points, vol. 11 (1930) page 224.
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electronic copy of Ernest Irving Freese's book "Perspective Projection", published by Pencil Points Press, 1930, supplied by the Hathi Trust, with the original at the University of Michigan.
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Creating Perspectives From Multiple Sources!, by Jim Leggitt, who illustrates Ernest Freese's perspective techniques.
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Robert Walker Kenny residence, Ernest Irving Freese, architect 1925, located at 1941 North Serrano Avenue in the Los Feliz neighborhood of Los Angeles.
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Spears House, Ernest Irving Freese, architect 1925, located at 1921 Edgewood Drive in South Pasadena, California.
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Whitney House, Ernest Irving Freese, architect 1939
, for organist Lorin J. Whitney, located at 1242 Bruce Avenue in Glendale, California.
Friends
Cross-References
Copyright 2020, Greg N. Frederickson.
Permission is granted to any purchaser of
Ernest Irving Freese's Geometric Transformations
to print a copy
of this page for his or her own personal use.
Last updated November 4, 2020.