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

• 2026-05-31: Added Mosely snowflake diagrams.
• 2026-05-13: Ditto, added overhang path diagrams to Double Factorials.
• 2026-05-04: Added chord diagrams to Double Factorials.
• 2026-02-28: First version of Chicago sidewalk bears map project.
• 2025-11-01: Resized complements of tetrahedral variants of Cross-Menger (Jerusalem) sponges at Fractal Sponge Variants.
• 2025-08-14: Ditto complements of hash-sign variant of Cross-Menger (Jerusalem) cube at Cross Menger (Jerusalem) Cube Fractal.
• 2025-08-13: New complements of tetrahedral variants of Cross-Menger (Jerusalem) sponges at Fractal Sponge Variants.
• 2024-06-15: New complements of asymmetric, self-affine variants of Menger sponges at Fractal Sponge Variants.
• 2024-05-05: New 3-D variant of Cross-Menger Cube figures, with hash-sign shaped holes.
• 2024-02-11: Fixed longstanding error in some 3×2 Map Folding figures: some colors for corner squares were showing up in the center of a row.
• 2023-10-01: Probably last pass at Schröder 3D Rectangulations (3D guillotine partitions) page for now. New figures.
• 2023-09-26: Better sketches for Schröder 3D Rectangulations page. Also called 3D guillotine partitions.
• 2023-09-09: Sketches for Schröder 3D Rectangulations page. Pretty sure “rectangulations” isn’t the word I want.
• 2023-02-07: Added failed pentagon sketch to Thomsen’s Figure page.
• 2023-01-22: Added non-attacking rooks interpretation to Derangements page.
• 2022-05-22: More Stirling permutation sketches for double factorial page.
• 2022-03-27: Sketches for double factorial (n!!) page.
• 2022-03-05: Done with Thomsen’s theorem page for now. Demonstration published at https://demonstrations.wolfram.com/ThomsensFigure/.
• 2021-12-26: Placeholder for Thomsen’s theorem figures.
• 2020-07-26: Labeled some map foldings, because why not?
• 2019-03-30: Added lopsided triangular variant of Cross Menger fractal to Fractal Sponge Variants page.
• 2018-09-07: Moved triangular versions of Cross Menger fractal to Fractal Sponge Variants page, added tetrahedral versions to same.
• 2018-09-02: Added triangular versions of Cross Menger fractal.
• 2018-08-25: Affine variants of fractal sponges.
• 2018-08-14: First draft of Doubly Recursive Integer Factorizations page.
• 2017-09-20: Started jokey dashboard page.
• 2017-02-05: Started Hilbert 4-D curves page.
• 2016-07-02: Many more interpretations of Fuss–Catalan numbers. Also variants of fractal sponges.
• 2016-06-19: Added Fuss–Catalan numbers page.
• 2016-06-09: Belatedly added Cantor set to Cantor dust page.
• 2016-05-27: Added Hironaka’s curve.
• 2016-03-17: Added One-sided toroidal polyhedra.
• 2015-08-01: Added Padovan and Fibonacci spirals page.
• 2015-07-29: Added Pancake-cutting problem page.
• 2015-05-10: Added Koch surfaces page.
• 2015-05-09: Added Menger sponge inverses to Menger sponge page. Also belatedly added Greek cross fractal page.
• 2015-05-02: Added 3-D versions to Schoenberg curve page.
• 2015-03-22: Added symmetric unlabeled stamp foldings page.
• 2015-03-15: Added symmetric stamp foldings page.
• 2015-03-13: Removed links to SVG files, since my hosting service shows a horrible parked page for them. Let me know if you care, I guess.
• 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 that 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.