Durango, Colorado is
located in the Animas River Valley
just a few
miles southeast of the 13,000-ft. high La Plata Mountains. Local
attractions include the Durango & Silverton Narrow Gauge Railroad,
Purgatory Resort (skiing), Mesa Verde National Park, and some of
the world’s most
frightening highways and jeep “roads”.
e.g. Black Bear Road / Black Bear Pass: http://en.wikipedia.org/wiki/Black_Bear_Road
“You don’t have to be crazy to drive this road - but it helps”.
some grizzly info, run a Google search using: “saw a car that seemed to
fall out of the sky”. Also check “Black Bear Pass” videos at YouTube.
About the author and his home (near the center of the picture and to the right of the small lake) where:
it Snows in the Mountains
Paleogeography / Historical Geology
of the Colorado River
A model of the geologic history of the
Colorado River and its tributaries starting with the Late Cretaceous
through the present. Includes origin and formation of the Grand Canyon.
3-D aerial tour of the Grand Canyon
geologic tour of the Grand Canyon
An end-to-end aerial geologic tour of
the Grand Canyon. Sequencing through the pages simulates a nearly
300-mile trip starting with Glen Canyon Dam at Page, AZ., and continues
past the Grand Wash Cliffs to Lake Mead.
Recommended Grand Canyon Videos
Norman Beerger's The
In 1982 Norman Beerger filmed and
produced what is probably the best video ever made for anyone that
would like an armchair scenic aerial tour of the Grand Canyon. Both the
1-hour and 2-hour versions are helicopter tours accompanied by a
classical music sound track. The included notes can be used as a
mile-by-mile guide for either the 1-hour or 2-hour versions.
Rio Chama Rockfall
- A pictorial study
A large rockfall occurred in a remote area of the
upper Rio Chama headwaters sometime between Sept. 1998 and June 2005.
There appears to be no available information about the rockfall,
and the author happened to find it while browsing with Google Earth.Ancestral Rivers of the World
An illustrated world tour with examples
of river systems that cut through mountain ranges instead of taking
easier routes around them. The geologic processes involved are
“antecedence” and “superimposition”.
Amethyst geodes and cathedrals are
fascinating members of the quartz family.
Creationism, “Intelligent Design
Evangelism”, Religious Cultists
A brief review of the fallacies of
Creationism and “Intelligent Design Evangelism”.
Noah’s Flood is physically impossible, but that doesn’t
stop Creationists from perverting reality in an attempt to force their
religious beliefs on everyone else. Is the willful ignorance of the
Creationists a result of fear?
Patriot Bible “University”
few people have had a chance to see the current location of Kent
Hovind’s alma mater - mostly because it’s a long way from any other
“educational institution”. George Bush
Misrepresents Science and Knowledge
Is George W. Bush one of the ignorant
Young Earth Creationists?
What might happen if you combined Ignorance and Power?
If the Ignorant Armies gained control, what steps might these
Creationists take to throw us back into the Dark Ages of Religious
Some highlights from a paper endorsed by a large number of Nobel
The funds that were supposed to be
spent reinforcing New Orleans’ levee system were instead diverted
to the Iraq war and the figurehead Department of Homeland Security.
Thus New Orleans did not have the protection it could have had when
hurricane Katrina hit.
a Creationist to be a Creationist?
The answer is: Fear!
Protests by Religious Cultists against “Planned Parenthood”
in Durango, Colorado
1) Fear of evolution.
2) Fear and hatred toward gays/lesbians.
3) Fear of women.
4) Fear of death.
5) Fear of losing their “All Powerful Father”.
A small militant group of abortion
protesters has been active at Planned Parenthood in Durango, Colorado.
The group is run by “Michaela Dasteel, director of
LifeGuard”, and as reported in the March 16, 2007 Durango Herald,
their activities include:
Probability and Statistics
The statistics, probabilities, and odds
involved with the popular game of Bingo. Includes algorithms for the
Bridge Combinatorics and
The Integer Brick
Also know as the Euler Brick problem.
No solutions out to odd side <= 1.0 Trillion (1.0E12).
End-of-turn and "Land on"
statistics/frequency analysis for Parker Brothers Monopoly Game. All
the "What is the chance of landing on ..." statistics. Also, there are
up to 50,083 ways to "Go To Jail".
How many queens (and/or superqueens)
be placed on an arbitrarily sized chessboard without any of them
attacking another queen? Queens to N = 26, Superqueens to N = 23.
(Both pages include number of solutions)
15 Hole Peg
This version is for a triangular pattern with
5 holes (peg positions) per side.
33 Hole Peg Solitaire
Sold commercially as Hi-Q
577,116,156,815,309,849,672 possible Hi-Q games
40,861,647,040,079,968 different ways to win Hi-Q
Optimal strategy for two versions of
this dice game
Probabilities for 5 to 10 card hands
(including misc. wild cards), lowball Poker, and optimal strategy for
Shut the Box -
Includes a prototype for a casino
The minimum number of moves to move a
set of ten marbles from one side to the other is 27.
Graph Theory / Number Theory
(Valid for 47 states but not in Kansas, Louisiana, or Texas
where all math/science “theories” are being thrown out as
Epitrochoids and Hypotrochoids are
curves generated by rolling one circle around another stationary
circle. Examples and graphical illustrations are given.
How many ways are there to subdivide a
set containing "N" items?
Rooted (oriented) trees
A rooted tree has a single vertex
(node) desiginated as a "root" (usually at the top). Travel along any
of the edges is directed toward the "root". A table is given showing
how many structurally different, rooted trees exist given "N" vertices.
Non rooted (free) trees
A non-rooted tree has a free form where
no vertex has priority. A non-rooted tree can be twisted, deformed,
contorted, etc. into many shapes without altering its structure. Again,
a table is given showing how many structurally different, non rooted
trees exist given "N" vertices.
A binary tree is rooted tree where each
vertex can have a maximum of two edges that connect to lower portions
of the tree. The "root" is normally depicted at the top. Edges from any
vertex in the tree will descend either to the left (left branch) or to
the right (right branch).
How many structurally different binary
trees exist given "N" vertices?
An unlabeled graph may have an
arbitrary number of vertices with none, one, or more edges connecting
some or all of the vertices. If you have "V" vertices and "E" edges,
how many structurally different graphs can be constructed?
Ramanujan Numbers and the Taxicab
Problem. The simplest of these solution groups is: 1^3 + 12^3 = 9^3 +
10^3 = 1729. Includes graphs showing 2-way, 3-way, 4-way, and the 193
known 5-way solutions. 24,153,319,581,254,312,065,344 has been confirmed as Taxicab(6)
of Sorting Algorithms
A common task for computers is to sort
data as an aid to analyzing it. Time trials and source code are
provided for: Bubble Sort, Insertion Sort, Median-of-three Quicksort,
Multiple Link List Sort, and Shell Sort. The search for a counterexample to Beal's Conjecture
Does the equation:
Ax + By = Cz
have any solution where:
1) A, B, C, are positive integers
2) x, y, z are positive integers > 2
3) and A, B, C have no common factor?
If you can answer the above question (with either a “Yes” or a “No”),
the American Mathematical Society has a $1,000,000 prize waiting for
Bad News - there's no counterexample up through Cz <= 1.0E22 (and counting).
Magic Squares exist for many different
sizes and may have various qualifications on the numbers they contain.
We will look at simple 3x3 Magic Squares and take a brief look at the
“3x3 Magic Square of Squares” problem.
in Stock Market Options?
This is a demo model illustrating how a
linear programming system can be used to find an optimal profit for
arbitrage positions in stock options.
Odds & how to calculate them
In addition to the published odds for
the Mega Millions Lottery Game, the mathematics on how to calculate
these odds is also shown.
and how to calculate them
The standard odds, probabilities for
multiple winners, calculations for “Power Play
Multiplier”, and expected “Return on investment” are
all included as well as the math operations that are used to calculate
Global Warming - and those people with closed minds
that blindly deny it
Great Global Warming Swindle” is itself a Fraud and a Swindle
“The Great Global Warming
Swindle” is a pseudo-documentary in which British television
producer Martin Durkin has fraudulently misrepresented both the data
involved and scientists who have researched global climate. Movie
director Durkin has willfully misrepresented the facts about global
warming just to advocate his own agenda. Global Warming Denial - Liars
Roger Cohen’s proposed $5,000 bet
Warming Deniers misrepresent the scientific facts of Global Warming /
Climate Change in multiple ways. The misrepresentations can take the
form of paid political propaganda, ignorance, outright lies, etc. The
people responsible for these misrepresentations can vary from “think
tanks” and lobbyists that are financed by large corporations down to
ignorant individuals. In particular: The Oregon Institute of Science and Medicine
is in reality - a farm, and Christopher Monckton
- A vociferous Global Warming Denier Liar.
A (retired) Exxon Mobil executive’s attempt to use money to promote his personal agenda. (Which is to deny “Global Warming”.) The “Global Warming Stopped in 1998” Lie
One of the false claims
that Global Warming Deniers have been making in recent years is that
“Global Warming Stopped in 1998”. As per usual, this claim is another
deliberate GWD falsehood that can be easily debunked by looking at the
actual observations. http://www.durangobill.com/GwdLiars/FabiusMaximusIgnorance.html
The Fabius Maximus
Website is an example of a Global Warming Denier website. A look at the
evidence that GWDs lie, they are willfully ignorant, and they are wrong.
Fight DMCA Abuse
How to fight
back against DMCA abuse
The Digital Millennium Copyright Act
has been used abusively to suppress legitimate criticism of cultists
and other “questionable activities”. Here’s an
outline on how to fight back if you are ever a victim of a DMCA attack.
U. S. National Forests are a national
responsibility - illustrated with a Beetle Bailey cartoon. We now
have to pay additional fees to access our National Forest lands. This
is in addition to the federal taxes that we all pay. Previously this
tax money was used for maintenance of these publicly owned lands.
Animas River Flood
The winter of 2004/2005 had a much
above normal snow-pack over the San Juan Mountains. A heat wave in
mid/late May melted large amounts of it all at once.
A Giant Sequoia grove near Durango, Colorado
log of the author's effort (and a general “How to” guide) to get
a Giant Sequoia grove to grow next to the author's home west of
A complaint about a poorly designed Chippendale Curio Cabinet as advertised and sold by Amazon.com.
A complaint about what I believe are the fraudulent sales practices of RXShoppers and Quickneasypay
Over 5.0 million page hits since start-up March
pages most frequently visited are (some variation with time):
“The Great Global
Warming Swindle” is itself a Fraud and a
increase sharply when large jackpots exist)
Mega Millions (Visits
increase sharply when large jackpots exist)
Evolution of the
(Parker Brothers) Monopoly
Grand Canyon Tour
N_Queens (A surprisingly
popular classic puzzle)
Web page generated via KompoZer
Information About the Website Author
E-mail: firstname.lastname@example.org (Remove
both "w"s for a valid E-mail address.)
The photo above shows the author’s home near Durango, CO. For a 4 minute aerial video, please see
(Click on the full screen icon in the lower right corner for best resolution.)
Note: The author (Bill Butler) of this website is a magna cum laude
, Computer Science
graduate of Brown University. A brief bio can be found at message # 8 http://groups.yahoo.com/group/CSAtrium/
(CSAtrium is a Yahoo group for the “alums of Brown
Computer Science Department and Computer Engineering graduates”.)