A Polyhedron Made of Enneagons and Pentagons

20-enneagons-and-6012-pentagons

This polyhedron has 20 enneagons and 12+60=72 pentagons (of two types) as faces. I made it using Stella 4d, which is available at http://www.software3d.com/Stella.php.

On Dr. Martin Luther King, Jr.’s Birthday: A Public Service Announcement

This year, in the USA, the birthday of Dr. Martin Luther King, Jr. is observed tomorrow. However, it is today — January 15th — which is his actual birthday. 

brand_bio_bio_martin-luther-king-jr-mini-biography_0_172243_sf_hd_768x432-16x9

Source of image: http://www.biography.com/people/martin-luther-king-jr-9365086

My 2017 Birthday Stars

I turn 49 today. This is a 49-pointed star, to mark the occasion — an old tradition of mine.

49

My first birthday was in 1968 — on the day I was born. A year later, on my second birthday, I turned one year old. Carry this up to the present, and that makes today, when I turn 49, my 50th birthday. For those reasons, here’s a second star, with 50 points.

50

 

The Dodecagonal Duoprism

12-duoprism

There are objects in hyperspace known as duoprisms, which have prismatic cells. This one’s cells are 24 dodecagonal prisms. It was made using Stella 4d, available here.

Polyhedron with 122 Faces

122-faces-total-60-trapezoids-30-rhombi-12-pentagons-and-20-triangles

The faces of this polyhedron are 12 regular pentagons, 20 equilateral triangles, 30 rhombi, and 60 almost-square trapezoids. I created it with Stella 4d, which is available at this website.

Icosahedral Blue On Blue

blue-on-blue-icosa

Stella 4d was used to make this image, and you may try it for free by following this link.

Triacontahedron with Two Dozen Pentagonal Faces

30-faces-with-24-pentagons-others-are-tetras

Of the thirty faces of this polyhedron, only the yellow parallelograms are not pentagons. I used Stella 4d to make this; you may try it for free at http://www.software3d.com/Stella.php.