A) Implement this in code.
B) Study translating the code (say C++) to run as an iPhone App.
C) Develop an intelligent agent to play Laskers with an iPhone opponent.
A) Examine the file thoroughly.
B) Develop a program to automatically search for solutions.
C) Extend such Flash files as
(a joint effort of 2 students working under my direction, one as the voice, the
other as animation designer) to the interactive solution of Hess'
[Here is a graphic image with vertices equidistant from the object's center,
either in the hexagonal equator plane or triangular zones above or below it.]
A) Create a display of a solid with Twelve Vertices. Make your image oriented to small children.
B) That image was created by Mathematica code; create it another
C) Display other geometrical images to stimulate small children to
enjoy math, e.g., Nested
The above require independent work.
Some Interesting Irrationals
*Brewster, G.W. The Mathematical Gazette, 25-263, 49,
Feb. 1941; cited in Gaither, C. C. and Cavazos-Gaither, A. E.,
Speaking, A Dictionary of Quotations,
; the exponent for 2 is 5/2 raised to the 2/5.
**Ramanujan; cited by Gardner, M.
The golden ratio φ = (1+ √5)/2 = 1.61803...
The golden ratio conjugate Φ = 1/φ ≈ 0.6180339887
Φ/2 = (√5 - 1)/4 = sin 18 ° = sin π/10 ≈
(2sin π/10)(1+ √5)/2 ≈ 1
For further Exploration
there are many issues that can lead to projects based on
adapting exposition to computer capabilities.
©2010 Allen Klinger