This had me captivated for a good five minutes. I just kept watching how the patterns matched up, trying to parse out the connections in my brain.

Who knew an animation of a Rubik’s Cube and some corresponding concentric circles could be so stimulating?

I have absolutely no idea who created it. Tried to find out to no avail. (Happy to edit with a citation if someone knows.)

#RubiksCube#Math#Animation#Geometry#Patterns#BrainGames

A Rubik’s Cube, depicted on the right as a three-dimensional rendering, is modeled on the left as a series of overlapping concentric circles. Each sub-face of the cube is a colored dot, and each rotation of the cube corresponds to a rotation of the dots along one of the circles. The dots always fall at the overlaps of two circles, representing that they can always be moved in two different directions.
A Rubik’s Cube, depicted on the right as a three-dimensional rendering, is modeled on the left as a series of overlapping concentric circles. Each sub-face of the cube is a colored dot, and each rotation of the cube corresponds to a rotation of the dots along one of the circles. The dots always fall at the overlaps of two circles, representing that they can always be moved in two different directions.

This had me captivated for a good five minutes. I just kept watching how the patterns matched up, trying to parse out the connections in my brain.

Who knew an animation of a Rubik’s Cube and some corresponding concentric circles could be so stimulating?

I have absolutely no idea who created it. Tried to find out to no avail. (Happy to edit with a citation if someone knows.)

#RubiksCube#Math#Animation#Geometry#Patterns#BrainGames

A Rubik’s Cube, depicted on the right as a three-dimensional rendering, is modeled on the left as a series of overlapping concentric circles. Each sub-face of the cube is a colored dot, and each rotation of the cube corresponds to a rotation of the dots along one of the circles. The dots always fall at the overlaps of two circles, representing that they can always be moved in two different directions.
A Rubik’s Cube, depicted on the right as a three-dimensional rendering, is modeled on the left as a series of overlapping concentric circles. Each sub-face of the cube is a colored dot, and each rotation of the cube corresponds to a rotation of the dots along one of the circles. The dots always fall at the overlaps of two circles, representing that they can always be moved in two different directions.

Monohedral triangle tiling of the gyroid, which is the dual tessellation of a partial Cayley surface complex of the group:

<br/>G = ⟨ f₁,t₁ | f₁², t₁⁶, (f₁t₁)⁴, (f₁t₁f₁t₁⁻¹f₁t₁²)² ⟩<br/>

Ball of radius 21. (1/2)

#TilingTuesday #tiling #geometry #math #3d