A 56-Pointed Star, To Mark the Occasion of Turning 56 Years Old

I’ve been making and blogging these birthday stars for well over a decade, and see no reason to stop any time soon. This one is made of four {7/3} heptagrams, shown in blue, with four {7/2} heptagrams shown in yellow. The area of intersection of these two types of star polygon is shown in green. This works to yield a 56-pointed star because (7)(4) + (7)(4) = 28 + 28 = 56.

Happy Beethoven’s Birthday!

Happy Ludwig van Beethoven’s Birthday! For those keeping track, it’s his 253rd. A good way to celebrate is to listen to one or more of his symphonies, and I’ve chosen the Ninth to post here, as performed by the London Symphony Orchestra.

Charles Schulz’s Peanuts provided my earliest education regarding Beethoven. Here are some samples of this work.

Two Rhombic Triacontahedra, Each Decorated with Birthday Stars

In yesterday’s post, I unveiled my annual birthday star for my new age, 54. Today, I’m placing that 54-pointed star on each of the thirty faces of a rhombic triacontahedron. I use a program called Stella 4d (free trial available right here) to do this, and it allows images on polyhedron-faces to either be placed inside the face, or around the face. Here’s the “inside” version:

And here is the “around each face” version:

Which one do you like better?

My 2019 Birthday Star

I was born 51 years ago today. To mark the occasion, here’s a 51-pointed star. It’s made of {17/7} heptadecagrams repeated 3 times, and with their edges extended as lines, in three different colors. This works because 51 = (17)(3).

Fiftystar: My 2018 Birthday Star

Every year, it is my tradition to make a star for my birthday. This is the one for today, with fifty points for my new age.

star 50

I like the view from age 50. I can see half-centuries before and after right now. To see 1968, I look into the past, which is behind me. If I look forward, I see ideas for what 2068 could be like.