Nothing is more fun than a 3D printed hypercube of monkeys
From the post:
The quaternion group {1,i,j,k,-1,-i,-j,-k} is a beautiful group of order eight. It didn’t have a physical representation because the object should be 4-dimensional. But has the quaternion group ever appeared as the symmetry group of an object? The answer is yes. In order to visualize the symmetries of the quaternion group, mathematician Henry Segerman, sculptor Will Segerman and mathemusician Vi Hart have designed a four-dimensional object, a hypercube, and put a monkey at the center of each of the eight cubes.
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If that doesn’t sound interesting enough, the post also has an animated image of the monkeys emerging from the 4th dimension, a video on “…how to make sculptures of 4D things,” and a pointer to: The Quaternion Group as a Symmetry Group.
Displaying countries in different perspectives impacts your perception of a map. Imagine the impact of emerging from the 4th dimension.
I first saw this in a tweet by Stefano Bertolo.