Robert Dickau

[Needed: photo-doctoring expert, seven years ago]

What’s old: [Travelogues] || [Art] || [Editorial] || [Mathematical Figures] || [Words] || [MSI Tips]

**Road Tripe!**(all on one huge page, but arguably the best thing here)**Starting What I Finished**(epilogue; arguably the worst thing here)

- Tired good coffee/bad coffee diptych
- Math coffee
- Not really art: Hypnotic Planes screen saver for Windows 9x/NT/2000/XP (about 25K) (of historical interest only, only to me: my first Win32 program)

- Favorite and least favorite words and phrases
- Failures
- Lost arts
- Windows Installer (MSI) tips

- Catalan numbers
- Permutation diagrams
- Derangements
- Stirling numbers of the first kind
- Stirling numbers of the second kind
- Bell numbers
- 2-D shortest-path diagrams
- 3-D shortest-path diagrams
- 4-D shortest-path diagrams
- 5-D shortest-path diagram
- Self-avoiding paths through a grid or lattice
- Self-avoiding loops
- Delannoy, Schröder, and Motzkin numbers
- Fibonacci numbers
- Euler zigzag numbers
- Stamp folding
- Unlabeled stamp foldings
- Map folding
- Narayana numbers
- Counting lattice paths
- Coin fountains
- Lah numbers
- Non-crossing partitions
- Ferrers boards
- Cyclic permutations

- Cantor dust in 2D and 3D
- Sierpinski carpet
- Relatives of the Sierpinski gasket
- Julia sets
- Inverse Julia sets
- Mandelbrot (and similar) sets
- Randelbrot set
- Menger sponge
- Jerusalem cube, also known as Cross Menger cube
- Sierpinski tetrahedron
- Fractal sponge slices
- Newton’s method
- Variation on Newton’s method
- 2D L-systems
- 3D L-systems
- Lebesgue curves (and friends)
- Lebesgue curves in 3D
- Sierpinski arrowhead curve (and friends) in 2D and 3D
- Hilbert and Moore curves in 2D and 3D
- Wunderlich curves in 2D and 3D
- Schoenberg curve
- Bifurcation diagram
- Hénon attractor
- Lozi attractor
- Rössler attractor
- The chaos game
- Typeset fractals
- Chaotic magnetic-pendulum model

- Continued fractions
- Drawing ovals
- Web2 word graph
- Self-referential sentences
- Harmonic numbers and the book-stacking problem
- Polygonal numbers (from Eric Weisstein’s MathWorld)
- Billiards diagrams (in Ivars Peterson’s MathLand)

- Oxymorons
- Anagrams
- Mnemonic devices
- Oddities (quasi-tautonyms)

- Knowing my limitations
- Not doing the dishes
- Solipsism
- Spinning my wheels (“robbing Peter to pay Peter”)
- Buying can openers that don’t work (“can’t openers”?)
- Buffoonery, japery, insolence
- Suffering fools gladly
- Waiting and seeing
- Taking No for an answer
- Eating every meal at the Waffle House, when there’s one nearby
- Repeating myself (no, I won’t repeat this just for the cheap gag)
- Not working out
- Keeping it all bottled up inside
- Not knowing when to stop

What’s new (from this millennium, anyway):

**2014-11-22:**
First sketches of cross Menger sponge slices.

**2014-09-06:**
First sketches of Menger sponge slices.

**2014-08-31:**
Added figures of inverses of some cross-Menger fractals.

**2014-07-04:**
Added made-up houndstooth fractal to the Cross Menger (Jerusalem) Cube page.

**2014-06-01:**
Hasty notes added to the map-folding page.

**2014-05-17:**
Sketchy notes about two ideas related to the Jerusalem cube fractal, plus recent typo fixes.

**2013-06-09:**
Notes and pictures about continued fractions.

**2013-03-17:**
Added notes on cyclic permutations, also known as necklaces, bracelets,
stellated *p*-gons, and probably a bunch of other names.

**2012-12-03:**
Added Hasse diagram of Ferrers boards.

**2012-04-08:**
Added page on non-crossing partitions, yet another Catalan number interpretation.

**2012-03-31:**
Tiny changes to Self-avoiding loops page, such as letting anyone know that it exists.

**2011-10-28:**
Added Coin fountains page.

**2011-03-26:**
Added Unlabeled stamp foldings page.

**2011-03-13:**
Added Lah numbers page.

**2011-02-27:**
Added Counting Lattice Paths page.

**2011-02-20:**
Added Narayana numbers page.

**2011-02-13:**
Ditto, permutations page.

**2011-02-06:**
Added partition refinement lattice to the Bell numbers page.

**2011-02-05:**
Spruced up the Stirling numbers of the second kind page, not that you’d notice.

**2011-01-22:**
Added Self-avoiding loops.

**2011-01-01:**
Added Schoenberg plane-filling curve.

**2010-12-24–31:**
Bringing some math figures back home, with thanks to
The Math Forum for hosting older versions for
all these years. Fixed some errors, introduced others.

**2010-12-12:**
Updated long-unawaited self-avoiding path figures.

**2010-08-01:**
Added giant redundant figures for 4×2 and 5×2 labeled map foldings.

**2010-08-01:**
Linked to *Mathematica* Demonstrations for labeled stamp foldings and labeled map foldings. Fixed some obvious errors, which is depressing since it proves nobody reads these.

**2010-07-11:**
More of the same: added labels to labeled map foldings.

**2010-03-28:**
More of the same: figures showing labeled map foldings.

**2010-03-21:**
Figures showing labeled stamp foldings.

**2009-12-30:**
Placeholder recursive images.

**2009-12-12:**
Drawing ovals using a pencil, three nails, and some string.

**2008-11-16:**
Fractal Wunderlich curves in 2D and 3D.

**2008-06-29:**
World premiere of fractal 3D Sierpinski arrowhead curve.

**2008-06-22:**
Fractal Sierpinski arrowhead curve and friends in 2D.

**2008-05-11:**
Hilbert and Moore curves in 2D and 3D. Deleted quaint page-size notations (75K, 15K, and all that).

**2008-04-26:**
Lebesgue curves (and friends),
Lebesgue curves in 3D.

**2008-04-03:**
Now this is just silly, but finally posted most likely final travelogue from 2006: *A Room with a View of a Room*.

**2008-02-03:**
Added Schröder numbers, other updates to Delannoy, Schröder, and Motzkin numbers. Oh, and happy new year.

**2006-12-31:**
Updated misc. MSI tips and notes. Oh, and happy new year.

**2006-05-26:**
New stairstep-tiling interpretation of Catalan numbers.

**2006-05-23:**
SVG versions of some Euler zigzag paths and Fibonacci tilings.

**2006-05-14:**
SVG versions of some Delannoy/Schröder paths.

**2006-04-30:**
Working on SVG versions of some math graphics (Catalan number and Motzkin number diagrams, for example).
Watch this space.

**2005-02-28:**
Disappointing new batch: *When the Going Gets Tough, Tough*,
*Interchangeable*, and *In Other Words...*

**2005-02-26:**
Disappointing reconstruction: *Motor Skills*.

**2005-01-03:**
Working on involuntary travelogues *When the Going Gets Tough, Tough* and *In Other Words...* Watch this space.

**2004-02-21:**
New facts and figures, words and numbers, dates and times, misc. cleanup.

**2003-05-17:**
Exeunt: *Flavor of the Decade*.

**2003-04-19:**
Almost there: *The Next Big Nothing*.

**2003-04-13:**
Double revision: *Untrainable* (Dec. 2000),
*Tri-State* (Oct. 2001).

**2003-01-26:**
*Need Anything?* (from Feb. 2002; I’m semi-retired now, so for the foreseeable future these notes will be reconstructed from sleep-deprived memories.)

**2002-10-27:**
Travel story, better lost than found: *Signs*.

**2002-10-05:**
Nothing much: more good and bad words,
general travelogue cleanup
(with some new bonus stories hidden throughout).

**2002-07-27:**
I can’t keep up! *Here with the Wind*,
*Trainerspotting*.

**2002-07-17:**
*Say Uncle!*

**2002-07-14:** I notice a pattern forming:
*Ne Pas Déranger*.

**2002-04-09:** Updated failures.

**2002-03-30:** Started Lost Arts page.

**2002-02-24:** Some math corrections:
fixed the Fibonacci formula,
fixed the Lozi Attractor’s
aspect ratio (though not the Hénon Attractor’s),
and fixed the 5D paths
to avoid taking shortcuts.

**2001-12-10:** Not worth the wait: two-parter *Canadian Beauty*
and *Encore Une Fois*.

**2001-11-17:** From Denver: *No Size Fits All*.

**2001-11-12:** From Dallas, August: *Artist Descending a Fire Escape*.

**2001-10-20:**
Tale from New York City: *Being Here, Doing This*.

**2001-06-23:** Relatives of the Sierpinski gasket.
And before I forget: *Requiem for a Lightweight*.

Copyright © 1996–2014 Robert Dickau.

Hair by static electricity.

Remember: an interjection starts a sentence right.

- Last modified 2014-11-22 at 25:00:00.

www.robertdickau.com