Parker Glynn-Adey

Homework #5 Question 4

Posted in Math by pgadey on 2018/07/20

Consider a solid ball of radius R. Cut a cylindrical hole, through the center of the ball, such that the remaining body has height h. Call this the donut D(R,h). Use Cavalieri’s principle to calculate the volume of D(R,h). Calculate the volumes of D(25,6) and D(50,6).

donut

Several students have asked what D(R,h) looks like. Here are some pictures that I found to illustrate the concept. The donut D(R,h) is the region between the red sphere and blue cylinder. The golden balls below show various views of the donut. The donut should fit between the two planes z=h/2 and z=-h/2, so that it has total height h.

SphericalRingSolid_800napring2

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Malin Christersson’s Cube Toy

Posted in Math by pgadey on 2018/07/11

cube-toy

I was looking through the Geogebra site and found this lovely applet Orthographic Projection by Malin Christersson.

This is a lovely tool for investigating one of my favourite facts about hexagons:

The area maximizing orthogonal projection of a cube is the regular hexagon.

It turns out that Malin has tonnes of awesome geometry stuff online!

Awesome math art!

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Public Talks for UTSC

Posted in Math by pgadey on 2018/07/05

From Colourings to Fixed Points

The notes for the talk are available here.

Uniform Convergence

The notes for the talk are available here.

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MAT 134 — Post-Term Test #1 Survey

Posted in 2018 -- MAT 134, Math, Uncategorized by pgadey on 2018/05/31

rocky

Thank you for filling out MAT 134 Post-Term Test #1 Survey.

Here is what Parker learned about the class!

(more…)

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MAT 134 Survey Results

Posted in Math by pgadey on 2018/05/09
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Final Poster Presentation Demo

Posted in Math by pgadey on 2018/04/29
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String Figure Poster Sketch

Posted in Math by pgadey on 2018/04/19

We’re almost ready for our final string figure presentation on May 2nd.

20180414_182202

Now we just have to put it all together!

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Mathematical Knots and String Figures

Posted in Lecture Notes, Math by pgadey on 2018/04/01
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String Figures for Week 2

Posted in Math by pgadey on 2018/02/16
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The String Figure Mentorship

Posted in Math by pgadey on 2018/02/16

2018-02-13 17.58.05

This week at the string mentorship we played with some nice figures. From left to right we are: Caroline Graham with Jacob’s Ladder, Parker Glynn-Adey a variant of the Well, Hillarey Tsui with Crow’s Feet, and Jacob Kikukawa with Wawu from Nauru Island.

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