Kokichi Sugihara at Meiji University in Kawasaki, Japan, has been using computer software to bring impossible drawings to life. The video above shows some of the objects he has made moving in ways that appear to defy geometry.
When the models are turned around, however, the trick is revealed: the objects are not what they seem. That’s because we constantly make assumptions about perspective and depth in order to move about in a 3D world, and these models take advantage of those assumptions.
Sugihara used computer software to analyse seemingly impossible drawings and come up with solid shapes that might look like the drawing from one perspective, but not from others.
Also be sure to check out this second 2010 video from Sugihara where he appears to make balls roll *up* ramps.
from New Scientist.
When you have a few extra minutes to spend with your bagel in the morning, try out this trick for your kids, or get a kid-friendly knife and let them cut the bagel into two linking pieces on their own:
…you too can have a mathematically correct breakfast. The motion of the knife’s cuts follows a two-twist Möbius strip.
If that’s too easy, you can upgrade your cuts to one of George’s trefoil bagels, which have close infinite surface area for delicious shmear, according to math of course.
Gotta love the internet (and George Hart — father of Vi Hart!) for making math fun and edible!
via It’s Okay to Be Smart.
From the Royal Observatory, Greenwich, Measuring the Universe! So how exactly do we measure things that are incredibly far away? Positioning over time, light, and math, math, math! This video contains a lot of information — even about sound waves and color shifts in light — but it’s such a great start to understanding how we see and measure what’s out beyond our Earth and our galaxy. And it demonstrates how important math and patience are in science!
via The Awesomer.