1. # Space Moon

If you just want to look at a pretty picture, you can stop now. If you’re curious about how this picture came about and are not afraid of some math, keep reading.

2. # Vaporizing Lake Washington

Sometimes I wonder about interesting things, such as how much energy would it take to boil all the water of Lake Washington: The volume of Lake Washington is 2.89 km31 The average lake temperature is 9.71°C2 It takes 4.19 Joules to raise the temperature of 1g of water by 1°C: 3 The density of water…

3. # Napkin Analysis of the Sand Flea Jumping Robot

I shared this video1 with Peter, who then asked: I saw that a couple days ago. Awesome! And has some cool practical applications. I [couldn’t] quite tell if the pitch of the robot was adjustable by the user, or of it always jumped in the same direction. Did you get a sense for that? It…

4. # Numbers

I was home sick today and in between drifting in and out of consciousness1 in my bed, I came up with these sequences of numbers: 88642483261224_ 7535155251_ 91998188_ Can you determine which numbers comes next? I think it was some sort of sinus infection or something…massive headache, congestion, general stuffiness, sore throat, etc…pretty much felt…

5. # Solve

I saw this the other day and I can only hope that my future wife will be able to solve this equation:

$\mathrm{Solve\ for\ i:}\ 9x-7i > 3(3x-7u)$

via MLIA (click for solution)

6. # Turning Spheres Inside Out

Have you ever wanted to turn a sphere inside out? How about without creases or sharp corners? Warning: Math content to follow!

The following 20 minute video will show you how:

via kottke

7. # θmg = ωtF

Unit checks are a great thing, as evidenced by this little goodie brought to my attention on Facebook: And the unit check: Yup. It works.