I go by RobertLovesPi on-line, and am interested in many things. Welcome to my own little slice of the Internet, which is shared freely with anyone who is interested.
The viewpoints and opinions expressed on this website are my own, except for the relatively small number of clearly-identified works of others. Nothing here should be confused with the views of my current, nor past, employers, nor any other organization, of any kind.
I am, by profession, a high school teacher of many subjects — mostly mathematics and the mathematical sciences — over a career of more than two decades. I live, and work, in the USA.
Hi Robert, I am an origami artist specialising in puzzles, tessellations and optical illusions.
This is just to let you know that I have made an origami version of your ‘flattened hexagon’ design, although with fewer pieces than the original. Happy to send yo a pic.
Cheers,
Mick
LikeLiked by 2 people
=0
LikeLike
I had a “dream” a month or so ago that contained amazing geometric shapes with bioluminescence and since then I have been rather obsessed by numbers and shapes. I think the dream was triggered by a video i saw about Tesla’s fondness for the numbers 3,6,9. I Found your site by accident and it seemed much like what I saw. I am not a math person so this recent obsession is odd. I have, decades since my last math class, discovered the magic of numbers. Not sure what is going on but it is amazing and the beautiful shapes you have made were like stumbling on a buffet. Thank you. If I had had a math teacher like you who knows which direction my life would have taken.
LikeLiked by 2 people
Thank you, and I’m glad you’re enjoying my blog!
LikeLiked by 1 person
Hi Robert, I am searching for a polyhedron similar to what you showed in this article: https://robertlovespi.net/2017/12/04/a-variant-of-the-rhombicosidodecahedron-featuring-four-hexagons/
I wonder if there is a polyhedron, similar to the rhombicosidodecahedron, but only with hexagons instead of pentagons. I am not restricted with the number of hexagons.
I wonder if it possible to tassellate a sphere just with hexagons, trinagles and rectangles.
Maybe you can help me.
Thanks!
LikeLiked by 1 person
You can tessellate a plane with those polygons, but I don’t think a polyhedron can be made with them.
LikeLiked by 1 person
Trying again to connect. Was wondering if we might have a brief chat. I’m working on a project and would like to bounce an idea off of you. Maybe better via emai? omdrala@aol.com
LikeLiked by 2 people
I’ll send you an e-mail.
LikeLiked by 1 person
Hey Robert, I recently found this website, and I gotta say, I love your works. I recently modelled this: https://64.media.tumblr.com/46e1daec1af1fbfb938ca6504d4fae2f/6bdb9fa1d23aad36-37/s540x810/4c1190dc40fb72665aaaf1917827850b5a188403.png, but have been struggling finding something similar online that names the shape. My best potential guess is “excavated 2-frequency subdivided icosahedron”. I was wondering if you could help me find a definitive answer, or at least point me in the right direction. Thanks in advance!
LikeLiked by 2 people
That’s a lovely polyhedron, but I’m afraid I don’t have a clue what to name it!
LikeLiked by 1 person
This material and the way it’s presented is absolutely fascinating!!
LikeLike
Hello Robert,
My name is Eleni and I’m a visual artist. I’m very interested in your collection of stellations and polyhedra and your website has inspired me a lot in creating geometric sculptures. You can see more of my work here: https://elenimaragaki.com/
I was wondering if you have any information on how to create a tetartoid dodecahedron or if you know where I can find a 3d model for this solid. I will need this to complete the design of my next sculpture, but I haven’t been able to construct it myself.
I hope you will be able to help me. Thank you for your time and for the beautiful collection you have made.
Best wishes,
Eleni Maragaki
LikeLiked by 1 person
That’s a really cool website you have there! Unfortunately, I don’t know much about tetartoid dodecahedra. I had to google the term just to find out what it is.
LikeLike
Hello, Robert, I was wondering whether you would be interested in this tiling:
It took some work, but me and a few friends have found an Euclidean tiling made from regular polygons that has 14 different vertex configurations (maximum possible number). This example (I call it “The Amazing Amalgam”) has 24 vertex orbits, which turns out to be the minimum, and it’s the only possible solution at this number of orbits.
LikeLiked by 1 person
Cool! Thank you for sharing this.
LikeLike
Hi Robert, just wanted to say that your work is inspiring. Saw an Escher exhibit recently and had to bring it up! Thank you for what you do here 🙂
LikeLiked by 1 person
Thanks! 🙂
LikeLike
Do you know about Poly from Pedagoguery Software? Using it you can rotate polyhedra and animate nets opening and closing.
LikeLike
I’m not familiar with it, but I’ll check it out.
LikeLike