WATERMAN MAP PROJECTION / POLYHDEDRON REVIEWS

Waldo Tobler
the author of
the First Law of Geography

"Thank you for sending these images.
The analysis is particularly impressive and well done."   Waldo   2010

                               

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"I think that you would enjoy some of the items at: http://watermanpolyhedron.com/index.html "



Father Magnus Wenninger
Benedictine Monk



Magnus's set of hand-made
Waterman
stellated polyhedra
"I do consider your discovery of Waterman Polyhedrons
an historic one in the history of math."

     
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Ed Popko

The cover places a Waterman polyhedra
in the foreground.



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I was recently given the honor
to give a review on the back cover.



"The use of interrupts reduces distortion for the production of globes. Minimal distortion is vital for production purposes; hence gore maps are used, where the world is divided in for instance twelve gores. Goode's homolosine (1923) is an equal area projection, composed of twelves regions to form six lobes interrupted, with interupts through the ocean. The production on the Earth on unfolded polyhedra instead of rectangles and ellipses, is an old idea going back to Da Vinci and Durer. All regular polyhedra have been proposed as suitable candidates. Some examples are Cahill's Butterfly map (1909 octahedron) and the Dymaxion Map of Buckminster Fuller, who used the cuboctahedron (1946) and the icosahedron (1954). Steve Waterman has developed an appealing polyhedral map, based on sphere packing."



"Steve, I love your map's aesthetic, almost whimsical beauty. I never realized such a butterfly could be hiding in plain sight like that. Thank you!"



Barbara Hall
Associate Director,
Alumni Relations &
Hendrickson Institute for Ethical Leadership
Saint Mary's University of Minnesota
   Every year, we look for a visual to tie "the world" to the Hendrickson Institute for Ethical Leadership Forum at Saint Mary's University of Minnesota. Our topics are of global importance and maps reinforce that idea. They're also a great ice breaker - strangers talk about where they've been and, in this case, how amazing the Waterman Butterfly view of the world is. Since it's based on satellite images, it's very accurate and both the topography and geography are very clear - and sometimes startling. The only downfall is that it's hard to keep them - people want to take them home and frame them. Thank you, Steve, for making this resource available.




Waterman polyhedra...
Volume 13, Numbers 1-2, pages 129-172 (2002)