Two Facetings of the Truncated Dodecahedron

Posted on 29 November 2017 by RobertLovesPi

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

A Faceted Truncated Icosahedron

Posted on 27 November 2017 by RobertLovesPi

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

Posted on 26 November 2017 by RobertLovesPi

nine dice

Obtain nine ten-sided dice, as seen above.
Use them, one at a time, to generate nine random digits, in order.
Check to see if a living person has that Social Security Number.
If so, check to see if the person is eligible, under the Constitution, for the office of president.
If they are, inaugurate them at once, before they have time to get away.
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.

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

Posted on 11 November 2017 by RobertLovesPi

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

Posted on 5 November 2017 by RobertLovesPi

12 icosagons

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

Seven Rainbow Polyhedra

Posted on 22 October 2017 by RobertLovesPi

These were made using Stella 4d, which may be tried for free at http://www.software3d.com/Stella.php.

Two Polyhedra Featuring Regular Pentadecagons

Posted on 21 October 2017 by RobertLovesPi

42.5 vertex angles in yellow triangles

This polyhedron has 92 faces: twelve regular pentadecagons, twenty equilateral triangles, and sixty isosceles triangles, each with a vertex angle of ~42.5°. Its first stellation appears below.

yellow triangle vertex angle is 42p5 degrees stellation 1

Both models were created using Stella 4d, software you can try for yourself at http://www.software3d.com/Stella.php.

Four Polyhedra Featuring Enneagons

Posted on 17 October 2017 by RobertLovesPi

enneagons and octagons

enneagons and kites

octagons enneagons bowtie trapezoids

Dual of Convex hull

Enneagons are also called nonagons; they are polygons with nine sides. I used Stella 4d to make these four rotating polyhedra, and you may try this program for yourself at http://www.software3d.com/Stella.php.