Hi David, I'm afraid I'm not going to be as much help as I would like since I haven't been through the process of trying to write a solver yet. But I had a...
Hi Roice, Once again, thank you for all of your help! I really appreciate the time you take to reply with your excellent advice. Right after I read your post,...
Excellent, this sounds like a great approach. If you are interested in writing it up, I'm sure some would enjoy reading about your general algorithm to cycle...
The 4D analog of Megaminx is here! This has been a work in progress for some time really (the basics were done in 2006), but it is now evolved enough for you...
Roice rocks!!! Don and I have been cooking up plans to support more puzzles including this one in MC4D for some time but Roice beat us to the best one. The 120...
Honestly, the reason I wasn't planning on working through a solution was that I am a bit scared of the sheer number of pieces! I just finished up the final...
Wow. Its really amazing. I like the ring coloring best. I'm not sure whether I would attempt to solve it. I'm sure it would be possible and the moves would be...
The full scramble is certainly terrifying to behold. OTOH, a scramble with only 5 random twists didn't look at all hard. Easier in many ways to the 3^4 since...
Hi Roice, This is incredible! What you have done with the MagicCube5D and Magic120Cell programs is truly amazing, and they are a great gift to this community! ...
Hi Jenelle, The number of hidden cells depend on the display settings chosen, so the answer is different depending on which of the example settings are chosen...
Thanks for the great feedback! I like these ideas and they all should be quick changes, so I should be able to address each one. To answer the questions you...
Awesome, I didn't want to ask directly, but I'm excited to hear of your interest in looking into the problem of the number of permutations! I wonder if this...
Hi everyone, I have just finished calculating an upper bound for the number of permutations of the 120-Cell. To establish it is the exact answer (which I am...
What a number indeed! So let me get this straight. If you imagine all the particles in the universe, and then imagine that each one really consists of another ...
That was a great analogy! I did a quick calculation - the number is approximately 2.3 x 10^8240, therefore not even one hundred layers of universes would be...
You guys will likely find this article interesting and a fun read: http://www.scottaaronson.com/writings/bignumbers.html Charlie shared it with me some time...
I can confirm that is the total permutations. I calculated this about a year ago when I first started talking to Roice about the 120 cell and it got deleted, I...
Hello Roice, I really think this is an amazing program and I will definitely attempt to solve it, but for me, looking at 120 different colors is just too...
Roice, that was a great article! Some of those numbers make the number I found look like nothing! Thank you again for putting my result on your website. ...
Hi everyone, I just realized that I made an error in reasoning in my proof of the number of permutations of Magic120Cell. My proof by induction was completely...
Hi, Thank you, I am glad you are liking it. Melinda had suggested doing a piece finder where clicking on a sticker makes the program find and highlight which...
I changed the name of the email thread for this because my gmail conversation view was getting out of control with "Magic120Cell Realized" replies ;) Anyway,...
I have to add my voice to the rest in expression of awe at this puzzle. It's been years since I've even done mc4d -- my life has gotten busier. One day maybe...
I know what you mean, Jay, about the dodecahedron not being an 'immediately obvious' Platonic solid. (I think that is what you were getting at?) I had felt the...
Hello All, Roice, your idea of trying to calculate how many possible puzzles could exist is great! Once again, I have changed my plans and am now attempting ...
... My whole thing was about the 120-cell, not the dodecahedron. Reading my original post, I see I used the word "polyhedron" all over the place when I meant...
Jay, Thanks for the update, and for amending my original post. I certianly didn't know about the duality (?) of the 24- and 120-cells; and thank-you for the...
Hi David, Thanks for letting me know about bc! I actually already had two Computer Algebra Systems on my computer (GAP and MuPad, which is commercial!) but I...
