tag:blogger.com,1999:blog-6194683461018589909.post3867303259463492238..comments2020-03-23T22:11:44.790-04:00Comments on ZenPuzzler: A Puzzle with No Name – Yukari’s CubeZenhttp://www.blogger.com/profile/05652862263935608644noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-6194683461018589909.post-47414837216724794612019-06-22T07:37:59.008-04:002019-06-22T07:37:59.008-04:00Two more notes:
- When I list {1+2+6, ...} above, ...Two more notes:<br />- When I list {1+2+6, ...} above, these numbers are the distribution of the three type of "checkered" L pieces. Each of the piece distributions can be permuted. 1+2+6, 2+1+6, 1+6+2, and 2+6+1 each have 2 checkered solutions on all the faces; 6+1+2 and 6+2+1 both have no checkered solutions. (I leave it to you to determine how I have identified the pieces.) The six families of piece distributions cover 25 distinct cases. The other 19 cases have from 4 to 74 solutions with checkered patterns.<br />- There are four other ways to make L pieces, not checkered as the first three pieces, and adjacent cubies are not oriented the same. Thanks for wondering about "all" the ways to combine licorice cubes, as I had not done that before now. I have found some neat new results with the new L pieces. I look forward to comparing notes. You have my email.<br />Tyler.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-34029925301124763422019-06-21T20:15:30.204-04:002019-06-21T20:15:30.204-04:00Well, there are only three ways to make tromino-L ...Well, there are only three ways to make tromino-L pieces from the licorice cubes. For symmetry on all the faces, there are relatively few solutions, as I discovered way back in 2011. {1+2+6, 1+3+5, 1+4+4, 2+2+5, 2+3+4, 3+3+3}. You might enjoy checking it out on your own, but I can always supply you with my results, if you wish. -Tyler.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-14493162294660308712019-06-21T14:25:21.889-04:002019-06-21T14:25:21.889-04:00I'm assuming that the TRILOGIC goal is to cons...I'm assuming that the TRILOGIC goal is to construct a cube with a symmetric pattern on all sides. I wonder if an analysis been done on all the ways to combine the licorice cubes into L pieces and then to create specific patterns on the solved cube.Zenhttps://www.blogger.com/profile/05652862263935608644noreply@blogger.comtag:blogger.com,1999:blog-6194683461018589909.post-54143746155475143682019-06-20T11:19:06.607-04:002019-06-20T11:19:06.607-04:00My favourite tromino-L cube is TRILOGIC by Roland ...My favourite tromino-L cube is TRILOGIC by Roland Koch.<br />http://www.knoxpuzzles.com/Trilogic.EN.php<br />Those cubies remind me of licorice cubes, the wonderful candy.<br />-Tyler.Anonymousnoreply@blogger.com