oakenbitVideos
Why It Holds is our YouTube channel: short animated videos that show why a piece of mathematics is true, one picture at a time.
YouTube · Coming soon
- Visual proof
Why the Sum of Cubes Is Always a Perfect Square
1 + 8 + 27 + 64 = 100. Add up the first few cubes and the total is always a perfect square. One picture shows why.
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- Algorithms
Binary Search: 20 Questions Find 1 in a Million
Think of a number between 1 and 1,000,000: twenty yes-or-no questions are always enough to find it, and nineteen are not. Here is why.
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- Physics
Why 45° Throws Farthest, and Why 30° Ties 60°
Throw at the same speed: 45 degrees goes farthest, and 30 and 60 degrees land in exactly the same spot. One picture explains both facts.
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- Numbers
Is 0.999… Really Equal to 1?
Zero point nine repeating looks like it should fall just short of one. This video takes that feeling seriously and settles the question three ways.
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- Probability
Why 23 People Are Enough for a 50% Birthday Match
In a room of just 23 people, the chance that two share a birthday is a little over one half. The birthday problem, solved step by step.
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- Algorithms
Tower of Hanoi: Why 64 Disks Take 585 Billion Years
Three disks take 7 moves; 64 disks, at one move per second, take about 585 billion years. The Tower of Hanoi, solved with one recursive idea.
Coming soon