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

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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.

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Thank you, and I’m glad you’re enjoying my blog!

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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!

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You can tessellate a plane with those polygons, but I don’t think a polyhedron can be made with them.

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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

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I’ll send you an e-mail.

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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!

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That’s a lovely polyhedron, but I’m afraid I don’t have a clue what to name it!

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