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    NCB Deposit  # 147

   Dr. Cye Waldman
   cye@att.net

   Gustavo Gordillo
   miztag@hotmail.com

   Daniel Ye Ding
   ddaniel497@gmail.com

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Propositions 13 and 14


From the Method of Archimedes . . . .

Building the Cylinder Hoof in MATLAB and MATHEMATICA
Heiberg's Hoof 1908
From Heiberg's 1907 publication.


In MATLAB . . . . . . .

Hoof animation


Cylinder Hoof Animation


hoofanimation

From prism to cylinder to hoof .... followed by slices of similar triangles.


To see any of the images full size, place the cursor over the image, right click and select "View Image."

Copyright Notice:  The animations and all images within are under copyright by Cye Waldman and may not be copied, electronically or otherise, without his express permission.

Dr. Cye Waldman,  cye@att.net


Building the Cylinder Hoof in MATHEMATICA
mathematica code


Building the 3-D Printer Models
3Dtext




References

3Dprinter




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This web site accompanies the following journal publication:
Gray, Shirley B., Daniel Ye Ding, Gustavo Gordillo, Samuel Landsberger and Cye Waldman; "The Method of Aarchimedes:  Propositions 13 and 14," Notices of the American Mathematical Society,  vol. 62  (October, 2015).

J. L. Heiberg, Eine Neue Archimedeshandschrift, Hermes, Volume 42, 1907, pp. 235-303.
J. L. Heiberg and H. G. Zeuthen, Eine Neuve Schrift des Archimedes, Verlag von B. G. Teubner, Leipzig, 1907, pp. 321-363.
Thomas L. Heath, The Method of Archimedes: Recently Discovered by Heiberg, Cambridge, 1912.

Other Waldman contributions to the NCB using MATLAB:
More Valentine/Hearts:   < http://curvebank.calstatela.edu/waldman8/waldman8.htm >
Sinusoidal Spirals  < http://curvebank.calstatela.edu/waldman/waldman.htm >
Bessel Functions    < http://curvebank.calstatela.edu/waldman2/waldman2.htm >
Gamma Funcions   < http://curvebank.calstatela.edu/waldman3/waldman3.htm >
Polynomial Spirals and Beyond   < http://curvebank.calstatela.edu/waldman4/waldman4.htm >
Fibonacci and Binet Spirals with a touch of Mondrian  < http://curvebank.calstatela.edu/waldman6/waldman6.htm >
"Other" Fibonacci Spirals and Binet Spirals  < http://curvebank.calstatela.edu/waldman7/waldman7.htm >
Voderberg Tiling   < http://curvebank.calstatela.edu/waldman9/waldman9.htm  >
Cornu-Voderberg Tilings  < http://curvebank.calstatela.edu/waldman10/waldman10.htm  >
Aleph Animation  < http://curvebank.calstatela.edu/waldman11/waldman11.htm  >

Other Gordillo contributions to the NCB using MATHEMATICA:



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