Below you will find some of the applets that I wrote. Some of them have an associated blog post. Enjoy

**Calculus and Real Analysis**

- A continuous, nowhere differentiable function: the Blancmange function (blog post)
- Epsilon-delta definition of limit of a function (blog post)
- The limit of a sequence (blog post)
- Cantor set (blog post)
- Using a race car to approximate instantaneous velocity
- Using a draining water tank to approximate instantaneous rates of change
- Dot product discovery applet (blog post)
- Cross product discovery applet (blog post)
- Basic vector operations (blog post)
- Parametric function grapher (blog post)—created by Marc Renault
- Pittsburgh Steelers logo using parametric curves (blog post)

**Geometry**

- Carnot’s Theorem (blog post)
- The Japanese theorem for quadrilaterals (blog post)
- The Japanese theorem for cyclic polygons (blog post)
- The Euler line (blog post)
- The Pascal line (blog post)
- Morley’s theorem (blog post)
- What shape are the golden arches—parabolas vs. catenary curves (blog post)

**Linear Algebra**

- Dot product discovery applet (blog post)
- Cross product discovery applet (blog post)
- Basic vector operations (blog post)

**Dynamical systems**

- The Discrete Logistic Equation (blog post)
- Discrete Dynamical Systems (blog posts)
- Cobweb plot of the logistic map (blog post)
- Families of dynamical systems (blog post)
- Three Gap Theorem/Steinhaus Conjecture (blog post)

**Physics**

- Parallel rays striking a parabolic mirror (blog post)
- The envelope of rays reflected by a parabola: the Tschirnhausen cubic (blog post)

**Water waves**: written with Tom Edgar (Dickinson ’02) in the summer of 2001 (see the Water Waves website that goes along with the applets)

**Miscellaneous**

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