Guddai!
How do you write the Australian pronunciation of
"good day"? The Olympics are over, but I've been communicating
this week with a tutor who lives in New Zealand. He writes
like would speak with a similar accent. He has provided some good
feedback on first versions of the Scientific Grapher
program. I decided to go ahead and post the source code for this
program, even though it won't compile on Delphi Standard. It requires a
version with the TChart charting component included in Delphi 5 Professional
and Enterprise versions for sure, perhaps Delphi 4.
The executable version if SciGrapher
is available for download though. It will run on any Win32 system
(Win 95 and above).
Programs about two other topics were posted this
week: Tetrahedrons and Permutations.
Tetrahedrons are triangular pyramids. If you
place three marbles on a flat surface all touching each other and place a 4th
marble on top, you have made a tetrahedron. The next larger size
would have 6 marbles on the bottom, then 3 in a second layer and 1 on top for
a total of 10. If you continue building larger pyramids this way,
there is only one other whose total number of marbles is the square of an
integer. We'll consider 1 to be the smallest with total of
1=1X1 marbles, the 4 marble pyramid is the second (4=2X2).
The program Triangular Pyramids finds the 3rd.
The total number in these pyramids form a sequence
of tetrahedral numbers with many interesting
properties (for example they always occur as 3 even numbers followed by an odd
number). The number of marbles in each layer form a sequence of triangular
numbers, also very interesting. There are only
5 numbers that are both tetrahedral and triangular.
Three programs about permutations were posted.
Permutations are rearrangements of things. The letters ABC can be
rearranged in 6 ways  there are 6 permutations of 3 things.
Permutes1 introduces the topic and displays all
permutations for a number that you enter. (Well, within reason 
there are over 3 1/2 million ways to arrange 10 things. I don't
think the program would print them all.) Rotating
Sums is a program that solves a particular problem for the
digits 19 arranged in a 3X3 grid. I'll let you go to the website for
details. Alphametics solves word arithmetic
problems like ADAM+AND+EVE=MOVED where each letter stands for a different
digit.
That's it for this week. We had our first snow
flurries this morning, so I guess I had better go start getting up our
winter's supply of wood.
700 viewers to date.
____________________________
Gary Darby http://www.delphiforfun.org  If you find something you love doing as you're growing up, look hard to see if you can make a living at it instead of giving it up for something more sensible.  Jennifer Lamb (stuntwoman) 
