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Top Tracks
1
Intro
2
How to Design the Perfect Shaped Wheel for Any Given Road
3
Intro & Review
4
Polygon Wheels
5
Elliptical Wheel
6
Wheels From Roads
7
Wheels are not gears!
8
How to Get a Closed Wheel
9
The Many Wheels for a Sinewave
10
The Wheel(s) for a Cycloid Road
11
Defining smooth rolling
12
What's wrong with wheels?
13
What Lies Between a Function and Its Derivative? | Fractional Calculus
14
What Gear Shape Meshes With a Square?
15
The Wheel for a Parabolic Road
16
The Topologist's Sine Curve
17
Sidenote about gears
18
When CAN'T Math Be Generalized? | The Limits of Analytic Continuation
19
How to design actual gears
20
How to Design a Wheel That Rolls Smoothly Around Any Given Shape
21
Is this one connected curve, or two? Bet you can't explain why...
22
The goal of this video
23
What Lies Between a Function and Its Derivative? (SoME2) | Fractional Calculus
24
The partner for a square
25
Sanity check
26
The partner for an ellipse
27
Envelopes
28
Evaluating the sum
29
Topology basics
30
The Dynamics of Rolling
31
Vertical Alignment Property
32
Visualizing the probability
33
Changing the problem slightly
34
The Wheel for a Sawtooth Road
35
The connection between ellipses and parabolas
36
The Concept So Much of Modern Math is Built On | Compactness
37
Parametrizing an orbiting gear
38
Computing the envelope
39
Example gear pairs
40
Evaluating another sum (the long way)
41
A snag
42
Connectedness 2.0 and the Topologist's Sine Curve
43
The Wheel for a Triangle Wave Road
44
How to do two (or more) integrals with just one
45
Can you change a sum by rearranging its numbers? --- The Riemann Series Theorem
46
A Look Ahead and a Challenge
47
Why Compress Integrals?
48
A word about generating functions
49
Navigating an Infinitely Dense Minefield | Why Measure Infinity?
50
The Perfect Road for a Square Wheel and How to Design It
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