Make Your Own Impossible Cylinder David Richeson 2016-08-29 | Download a printable template (pdf): http://bit.ly/ImpossCylTemplatesRead about the mathematics behind this illusion in "Sugihara's Impossible Cylinder" (David Richeson, Math Horizons, September 2016, pp. 18–19, http://www.maa.org/MathHorizons). This work was inspired by Sugihara's "Ambiguous Cylinder Illusion": youtube.com/watch?v=oWfFco7K9v8Math Horizons is a publication of the Mathematical Association of America.http://www.twitter.com/maanowhttp://www.Facebook.com/maanews
Fold-and-Cut Hat Aperiodic Monotile David Richeson 2024-08-14 | This short video accompanies my blog post about folding and cutting the hat and spectre aperiodic monotiles: divisbyzero.com/2024/08/14/fold-and-cut-hat-and-spectre-tiles/. The blog post has downloadable PDFs.
Fold-and-Cut Spectre Aperiodic Monotile David Richeson 2024-08-14 | This short video accompanies my blog post about folding and cutting the hat and spectre aperiodic monotiles: divisbyzero.com/2024/08/14/fold-and-cut-hat-and-spectre-tiles/. The blog post has downloadable PDFs.
A Romance of Many (and Fractional) Dimensions David Richeson 2021-09-29 | This presentation took place at Dickinson College on September 28, 2021. There was a live audience and it was streamed online at the same time. In the talk Dave Richeson expands upon the ideas in his Quanta Magazine article "The Journey to Define Dimension." quantamagazine.org/a-mathematicians-guided-tour-through-high-dimensions-20210913/.
Proving that Functions are Injective and Surjective (One-to-One and Onto) David Richeson 2020-12-23 | 0:00 Introduction0:20 Functions3:30 Injective/one-to-one functions6:33 Proving that a function is injective8:42 Proving that a function is not injective9:28 Why is injectivity confusing?12:02 Surjective/onto functions14:41 Proving that a function is surjective18:27 Proving that a function is not surjective19:07 Why is surjectivity confusing?20:41 Bijective functions21:52 Proving that a function is bijective
A Quick Introduction to LaTeX David Richeson 2020-07-09 | In this video, you will get a quick introduction to LaTeX—what it is, why you might want to use it, and what some of its features are. By the end of the video, you will be ready to create your own beautiful LaTeX documents. Here are some quick links to certain parts of the video. 0:00 Start0:16 What is LaTeX, and why should I use it?4:20 The structure of a typical LaTeX document6:30 Entering basic (nonmathematical) text8:05 Special characters (#, %, \, etc.)8:42 Stylized text (italics, boldface, and underlined)9:53 Itemized and enumerated lists10:46 Comments11:17 Labels and references13:05 Inline and display style mathematics14:42 Typesetting mathematics18:39 Common problems22:42 Matrices, tables, etc.28:14 Figures 29:35 Bibliographies31:37 Compiling your document33:28 What next?Other resources:• Download the printable 2-page "A Quick Guide to LaTeX": http://users.dickinson.edu/~richesod/latex/latexcheatsheet.pdf• Download a zip file containing a sample LaTeX file that you can compile and play with: http://users.dickinson.edu/~richesod/latex/SampleLatex.zip• A more detailed introduction, "The Not So Short Introduction to LaTeX2e": http://tug.ctan.org/info/lshort/english/lshort.pdf • To begin using LaTeX, try the free online site Overleaf: overleaf.com
The Magnificent Möbius Band David Richeson 2020-03-25 | This paper, tape, and scissors activity is sure to be fun and educational for mathematics enthusiasts of all ages and abilities.
Three Takes on the Circle Square Illusion David Richeson 2019-07-29 | Four parabolas, strategically placed on a circular cone, look like a circle when viewed from below and a square when viewed from above. Make your own using these printable pdfs: http://bit.ly/CircleSquareCone
Pythagorean Cup David Richeson 2018-12-29 | Make your own Pythagorean cup—a historic practical joke drinking vessel. More information: en.wikipedia.org/wiki/Pythagorean_cup.
The Brachistochrone Problem David Richeson 2014-01-05 | This video illustrates that the cycloid-shaped ramp is faster than the straight-line ramp.
Knotted Bubbles David Richeson 2009-03-17 | Is it possible to make a bubble with a knotted boundary? How about a one sided bubble? A Möbius bubble? Yes.
The area and circumference of a circle David Richeson 2009-03-17 | This video shows the relationship between the circumference and the area of a circle.
