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
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
For some grizzly info, check http://www.telluridenews.com/the_watch/news/article_052cefa1-4595-57ec-a438-94308e7fdead.html
or run a Google search using: “saw a car that seemed to fall
out of the sky”. Also check “Black Bear Pass” videos at
About the author and his home (near the center of the
picture and to the right of the small lake) where:
Snows in the Mountains
Links to Topics
Paleogeography / Historical Geology
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
end-to-end 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
Beerger's The Grand Canyon
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.
- 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”,
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
Very 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
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 Theocracy?
Some highlights from a paper endorsed by a large number of
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
Creationist to be a Creationist?
The answer is:
by Religious Cultists against “Planned Parenthood” in
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 computations.
Combinatorics and Probabilities
Integer Brick Problem
Also know as the Euler Brick
problem. No solutions out to odd side <= 1.0 Trillion
Probabilities and Statistics
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
How many queens (and/or
superqueens) can be placed on an arbitrarily sized
chessboard without any of them attacking another queen?
Queens to N = 26, Superqueens to N = 23.
Peg Solitaire (All pages include number of
Hole Peg Solitaire
This version is for a triangular
pattern with 5 holes (peg positions) per side.
33 Hole Peg
Sold commercially as Hi-Q
possible Hi-Q games
40,861,647,040,079,968 different ways to
37 Hole Peg
This version is popular in France
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 Video Poker.
Box - Optimal Strategy
Includes a prototype for a
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 “not Biblical”.)
Epitrochoids and Hypotrochoids
are curves generated by rolling one circle around another
stationary circle. Examples and graphical illustrations are
How many ways are there to
subdivide a set containing "N" items?
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.
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
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).
different binary trees
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
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
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 you.
Bad News - there's no counterexample up through Cz
<= 1.0E24 (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
Profits 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
Millions 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.
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 these numbers.
Global Warming - and those people with closed
minds that blindly deny it
Great Global Warming Swindle” is itself a Fraud and a
“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.
Denial - Liars
Cohen’s proposed $5,000 bet
Global 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
of Science and Medicine
is in reality - a farm, and Christopher
- 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”.)
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
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.
History via Topo Maps
snapshots of Durango, CO via Topo maps. The featured areas
extend northward to include Animas City and westward to
include the Rafter J subdivision.
Fight DMCA Abuse
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
Giant Sequoia grove near Durango, Colorado
A 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 Durango,
Over 6.0 million page hits since start-up
March 13, 2001.
The pages most frequently visited are (some
variation with time):
“The Great Global Warming
Swindle” is itself a Fraud and a Swindle
Powerball (Visits increase
sharply when large jackpots exist)
Millions (Visits increase sharply when large jackpots
Evolution of the Colorado River
(Parker Brothers) Monopoly
Grand Canyon Tour
(A surprisingly popular classic puzzle)
About the Website Author
email@example.com (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
Current weather observation at the author's home.
(Updated once per minute 24/7)
The picture above is from NASA’s Adopt the Planet promotion.
It shows the location of the randomly generated 3,076 sq. mile
plot that the author has “adopted” as part of NASA’s Earth Day
We are living in an age where many people think
that anti-intellectualism and ignorance are virtues. The
author of this website takes a contrary view. If America is to
maintain its “Great” status in the future, we must educate our
people so that they are competent in the fields of science,
technology, engineering, and mathematics. If instead our goal
is to revive the coal industry so that more of our citizens
will die of Black Lung Disease, America will not be “Great
The author supports NASA’s efforts to learn about
our planet so that we can make it a better place to live. The
author supports the ideal that our voters should be an
Thomas Jefferson - “A properly functioning democracy depends
on an informed electorate.”
For more information on why the author of this website can
not, and will not support Donald Trump; please see:
'MALIGNANT NARCISISSM': DONALD TRUMP DISPLAYS CLASSIC TRAITS
OF MENTAL ILLNESS, CLAIM PSYCHOLOGISTS
Donald Trump's malignant narcissism is toxic: Psychologist
President Trump exhibits classic signs of mental illness,
including 'malignant narcissism,' shrinks say
Note to those compiling Donald Trump's "Enemies List(s)" and
"Fake News List":
Please add my name to your lists.
And finally, we have “The
Subtitle: “Here comes trouble”
Note: The author (Bill Butler) of this website is a magna cum laude
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
University’s Computer Science Department and Computer
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