Fall 2021

The class blog can be found here.

Date | Class topic | What is due |
---|---|---|

Dec 8 | Knots second show and tell | Knots blog post and display card |

Dec 6 | Do over show and tell | Do over print and display card |

Dec 3 | Knot polynomials | Do over stl and blog post |

Dec 1 | Ambiguous objects show and tell | Ambiguous objects print and display card |

Nov 29 | Links and knot polynomials | |

Nov 26 | Thanksgiving! | |

Nov 24 | Thanksgiving! | |

Nov 22 | Knot colorability | |

Nov 19 | Knots | Ambiguous objects stl and blog |

Nov 17 | Knots | |

Nov 15 | Knots show and tell and Ambiguous objects | Knots print |

Nov 12 | Minimal surfaces show and tell and Ambiguous objects | Minimal surface print and display card |

Nov 10 | Ambiguous objects | |

Nov 8 | Knots (round 1) | Minimal surface stl and blog post |

Nov 5 | Projection show and tell | Projection print and display card |

Nov 3 | Minimal surface experiments | |

Nov 1 | Minimal surfaces | Projection stl and blog |

Oct 29 | Ruled surface show and tell | Ruled surface print and display card |

Oct 27 | Stereographic projection and surfaces | |

Oct 25 | Fall Break! | |

Oct 22 | Continuity and Stereographic projection | Ruled surface stl and blog |

Oct 20 | Continuity | |

Oct 18 | Quadric surface show and tell | Quadric surface print and display card |

Oct 15 | Ruled surfaces | |

Oct 13 | Rotations in 3 dimensional space, ruled surfaces | Quadric surface stl and blog |

Oct 11 | Level curves show and tell | Level curves print and display card |

Oct 8 | Quadric surfaces | |

Oct 6 | Quadric surfaces | Level curves stl and blog |

Oct 4 | Parametric surfaces | |

Oct 1 | Integration over regions in the plane show and tell | Integration over regions in the plane print and display card |

Sept 29 | Openscad | |

Sept 27 | Level curves | Integration over regions in the plane stl and blog |

Sept 24 | Center of mass show and tell | Center of mass print and display card |

Sept 22 | Integration of functions of two variables | |

Sept 20 | Integration of functions of two variables | Center of mass stl and blog |

Sept 17 | Cross section show and tell | Cross section print and display card |

Sept 15 | Center of mass | |

Sept 13 | Center of mass | |

Sept 10 | Center of mass | Cross section stl and blog |

Sept 8 | Washer/Shells show and tell | Washer/Shells print and display card |

Sept 6 | Labor day! | |

Sept 3 | Surfaces with known cross section | |

Sept 1 | Surfaces with known cross section | Washer/Shells stl and blog |

Aug 30 | Washers and Shells continued | Printed coins due |

Aug 27 | Washers and Shells continued | |

Aug 25 | Washers and Shells and trip to the innovation center | |

Aug 23 | On shape and coin printing |

- be about 1 and a half cubic inches (It can be larger but don't drive the innovation center people too crazy!)
- have structual stability (remove all the supports!)
- be a significant improvement over your version 1.

- how you chose what project to repeat
- what you thought needed improments
- how you implemented improvements

- which project you are repeating
- how your old and new projects compare

- be about 1 and a half cubic inches (It can be larger but don't drive the innovation center people too crazy!)
- have structual stability (remove all the supports!)
- clearly illustrate the illusion.

- how the ambiguous object works
- what curves you chose
- why you chose the design you did

- what curves you chose
- do you think they work well

- have at least seven crossings
- have structual stability (remove all the supports!)

- include the crossing number
- find a sequence of crossing switches that gives the unknot (this gives a upper bound on the unknotting number
- Attempt a coloring. If successful great! If it fails explain what goes wrong.
- Compute writhe of your knot
- Compute the first two steps of the polynomial Q. You should have four knots.

- The crossing number and writhe
- an upper bound for the unknotting number

- fit inside a half full, wide mouth ball jar.
- have structural stability (remove all the supports!)
- be able to support a bubble

- what a minimal surface is. You don't need to include all three discriptions we gave in class but you have to include at least one.
- the shape of the frame you chose
- your best guess of what the bubble on your frame will look like.
- why you chose the design you did

- the shape of the frame you chose
- your best guess of what the bubble on your frame will look like.

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have structual stability (remove all the supports!)
- be clearly visible when we shine a light through it.

- what stereographic projection is and what it does
- what design you chose for the plane and any challenges you had implementing it
- why you chose the design you did

- What your design looks like when a light shines through it
- How it compares to what you see on the sphere

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have structual stability (remove all the supports!) and the lines need to be clearly visible
- not intersect itself
- Do not choose one of the standard surfaces in the annoucement in canvas.

- what a ruled surface is
- what curves you choose to define your surface
- why you chose the surfaces and curves you did

- what curves you choose to define your surface
- any distinctive features of your surface

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- be at least two pieces of the surface divided by one or more planes. If you only use one plane the division needs to be along a curve that is not a line, a pair of lines, or a single point. (If you divide by more than one plane one of them can be one of these degenerate cases.)
- There needs to be an easy way to display the pieces so a viewer can see what is going on.

- what quadric surface and plane you chose. What the intersection is.
- why you chose the surfaces and plane you did

- the equation for your quadric surface and the type of surface it is,
- the plane you sliced along, and
- the equation for the intersection of the quadric surface and plane and the type of quadratic equation it is.

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have at least 8 level curves. More is also fine as long as you can see the distinct curves.

- how to think about parameterized surfaces and level curves
- why you chose the surfaces and parametrization you did

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have at least 20 rectangular prisms. More is also fine as long as the print isn't smooth in the end.

- how to think about integration for functions defined on regions in the plane
- why you chose the function you did
- how to compute the volume of your approximation (and compute it!)
- how to compute the acutal volume (and compute it!)

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have a unexpected center of mass. (Don't make it so symmetric that the center of mass is in the middle!)
- mark the center of mass

- how to think about center of mass
- why you chose the solid you did
- how to compute the center of mass of your model (and compute it)

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have at least ten layers (don't give it so many that it looks smooth - we want to see the layers!)

- how to think about volumes of solids with known cross section
- why you chose the solid you did
- how to compute the volume of your model (and compute it)
- how to compute the volume of the solid you are approximating (and compute it)

- be about 1 and a half cubic inches (tell me your dimensions in your blog post!)
- have at least ten washers or shells (don't give it so many that it looks smooth - we want to see the cylinders!)

- the washer or shell method (talk about the one for your model.)
- why you chose the function you did
- how to compute the volume of your model (and compute it)
- how to compute the volume of the solid you are approximating (and compute it)