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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.

A Variant of the Icosidodecahedron Featuring Four Hexagons

tetrahedrally modified icosidodecahedron.gif

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Variant of the Rhombicosidodecahedron Featuring Four Hexagons

Convex hull.gif

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Miscellany of Polyhedra with Icosidodecahedral Symmetry

20 at 5 and 60 at 5 and 20 at 6 and 60 at 7242 faces mostly quadsConvex hull bstarballAll quads 240 facesAugmented DisdyakistriacontaConvex hull with 12 reg icosagonsConvex hulldecagons enneagons bowtie trapezoids stellated several timesDual of Convex hullashgdfasfdual of polyhedron with 12 pentadecagonsDual of Unnamed DualFaceted Dodeca duAL OF FIRST STELLATION OF ICOSAFaceted DodecaFaceted ICOSIDodecaHEDRAL POLYHEDRONStellated Convex hull 2Stellated Convex hullstellated Dual of Convex hullashgdfasfStellated Poly 4Stellated Poly 3.gifZonohedrified Poly.gifUnnamed Dual nc.gifZonohedrified Icosa.gif

All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

Slowly Rotating Hypercube

4 Duoprism

The hypercube, also known as a tesseract, is the four-dimensional analog to the cube. I made this projection of a hypercube with Stella 4d, which is available at http://www.software3d.com/Stella.php.

Two Facetings of the Truncated Dodecahedron

Faceted Trunc Dodeca

Faceted trunc dodecahedron

I made these using Stella 4d, a program you can try for free at this website.

A Faceted Truncated Icosahedron

Faceted truncated icosahedron

This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.

An Easy Way to Find a Better President

nine dice

  1. Obtain nine ten-sided dice, as seen above.
  2. Use them, one at a time, to generate nine random digits, in order.
  3. Check to see if a living person has that Social Security Number.
  4. If so, check to see if the person is eligible, under the Constitution, for the office of president.
  5. If they are, inaugurate them at once, before they have time to get away.
  6. If no president has yet been selected, return to step 2.

The chances of getting anything worse than what we’ve got now are essentially zero.

Calvin and Trump

calvin and trump

Presented with apologies to Bill Watterson.

A Polyhedron Featuring Hexagons, Pentagons, Triangles, and Lots of Quadrilaterals

3456

I made this polyhedron using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Polyhedron Featuring Icosagons, Kites, and Triangles

12 icosagons

I made this using Stella 4d, which is available at http://www.software3d.com/Stella.php.