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About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

Tessellation Involving Hexagons, Pentagons, and Other Polygons

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pentagons and hexagons

Trump’s Impeachment Troubles Started One Year Ago Today

July 25

One year ago: the infamous July 25th phone call. That led to Trump’s impeachment, but few think of it now because we’re neck-deep in the COVID-19 pandemic. Impeachment occurred before the masked age began. He didn’t get removed by the Senate, but he’s quite likely to get removed by voters in the November election. He may not leave the White House voluntarily, which would create a shameful spectacle, but he’ll be escorted away come Inauguration Day — even if they have to literally drag him off, kicking and screaming.

A Faceted Truncated Octahedron with Twenty Faces

Faceted Trunc Octa

The twenty faces of this polyhedron are six small blue squares, six interpenetrating, larger red squares, and eight irregular, interpenetrating yellow hexagons. I made it using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php. The squares are easy to find, but it can be a challenge to see the yellow hexagons. In the .gif below, all of the yellow faces but one are hidden, which should make it easier to see where the hexagons are positioned, relative to the squares.

 

Complexes of 61 Great Icosahedra Each, Shown with Three Different Coloring Schemes

GI

GI pfsc

GI rb

I made these using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

Complexes of 61 Great Dodecahedra Each, Shown with Three Different Coloring Schemes

GD

GD pfsc

GD rb

I made these .gifs using Stella 4d, software you can try for yourself — free — at http://www.software3d.com/Stella.php.

Complexes of 101 Great Stellated Dodecahedra Each, Shown with Three Different Coloring Schemes

GSD complex 101 parts

GSD complex 101 parts parallel faces same color

GSD complex 101 parts rb

I made these .gifs using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

 

Complexes of 61 Small Stellated Dodecahedra Each, Shown with Three Different Coloring Schemes

spectral small stellated dodecahedra

spectral small stellated dodecahedra 61

spectral small stellated dodecahedra rb

I made these .gifs using Stella 4d: Polyhedron Navigator, which you can try for free at this website.

Abraham Lincoln, on the Destruction of America

Lincoln

Source of quote: The Lincoln Project.

On Reopening Schools

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message

I didn’t write this — it was shared with me. However, I do agree with it.

Cat + Blanket = Cuteness

We’re in a global pandemic, without competent national leadership, and American society is tearing itself apart. However, at least you get to see this cute picture my wife took of Hexagon the Cat hiding in a blanket, right?

hexagon