My LiveGraphics3D page
Toys for my own amusement
(in no particular order)
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Swing-hinged dissections of triangle to square and triangle to pentagon.
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A Holiday dodecahedron test file, with unexplained junk for my own bidness.
- Flappers
- The reflection property of an ellipse.
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The awful truth about my ice-cream cone curves. Also, an imperfect monstrosity, sort of an
ice-cream cone eyeball (an attempt to embed the Brunnian 5-symmetric Venn diagram curves onto the sphere).
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Some sort of weird "umbrella". I don't remember why I wanted to do this.
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"6nuke", one of my favorite knots.
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A figure inspired by a fancy kitchen basket.
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Spherical triangle with medians and their projections
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Paths parallel to an ellipse
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Torus tiled with hexagons
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K3,3 on the Torus
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A four-cube.
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Simple sine curve on a cylinder (lissajous). Some mild optical illusions occur. (Uses webMathematica and javascript.)
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My daughter's name written on a cylinder. I was trying to impress my (then) 6'th grader with the power of mathematics.
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Projecting and cutting an R on a cylinder. Utter silliness.
- Cut it out — even utterer (sic) sillierness (siccer) than above. (Uses webMathematica, java, and javascript together.)
Mostly classroom demos
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A demo for our math history class, used for inspecting the Archytas construction for duplicating the cube.
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The projection and reflection in a plane of a simple figure.
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A surface from a textbook exercise: z = x3 + y3.
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From a calculus text's exercise, one slice of a solid whose cross-sections perpendicular to the x-axis are squares and whose base is the region bounded by the line y = x + 1 and the curve y = x2 - 2 x + 3.
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More slices from the previous problem.
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Three different illustrations of an intersection of two cylinders. I used these to help my calculus students visualize it. (A lie! They were to help ME.) One is
pretty much just two basic cylinders. Another is the same two cylinders but with slices removed to better see inide. Another is half of the region of intersection itself.
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A point rotated about a line
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A cone sprouting from a plane
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Circle osculating a helix
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TNB frame on a helix
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Osculating circles along a curve
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TNB frames along a curve
- Basic conic sections
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Hyperboloid of one sheet: hyperbolic cross-sections
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A familiar "string art". Its envelope is a one-sheet hyperboloid.
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A "4-saddle". Here's a surface, concave up at a point in the x and y directions, but with no relative min or max.