From @mail.uunet.ca:mark.longridge@canrem.com Tue Sep 15 18:37:59 1992 Return-Path: <@mail.uunet.ca:mark.longridge@canrem.com> Received: from mail.uunet.ca (uunet.ca) by life.ai.mit.edu (4.1/AI-4.10) id AA14355; Tue, 15 Sep 92 18:37:59 EDT Received: from canrem.COM ([142.77.253.2]) by mail.uunet.ca with SMTP id <10307>; Tue, 15 Sep 1992 18:37:53 -0400 Received: from canrem.com by unixbox.canrem.COM id aa00746; Tue, 15 Sep 92 18:30:29 EDT Received: by canrem.com (PCB/Usenet Gateway) Path-id <199215.104.106150@dosgate>; 15 Sep 92 (18:27) Message-Id: <199215.104.106150@dosgate> From: Mark Longridge Date: Mon, 14 Sep 1992 20:00:00 -0400 To: cube-lovers@ai.mit.edu Subject: pyraminx revisited Notes on the Pyraminx --------------------- According to Dr. Ronald Turner-Smith there are 5 different Pyraminx puzzles, all of different complexity. The following are listed in order from easiest to hardest (to the best of my knowledge): Pyraminx Star: Easiest of all pyraminx?? A simplification of the popular pyraminx because of the little uni-coloured (usually grey or silver) tetrahedrons on the 3 middle pieces of each face. Effectively all middle pieces on this pyraminx are the same colour! Snub Pyraminx: Same as standard pyraminx with tips removed Popular Pyraminx: The standard pyraminx of which appeared in vast quanities after the cube caught on. Senior Pyraminx: This is a mystery puzzle. No one seems to know anything about it, yet Turner-Smith's book refers to it and gives the maximum number of moves for it! It is between the Popular Pyraminx and Master Pyraminx in difficulty. Master Pyraminx: All the moves of the standard pyraminx plus 180 degree turns of the edges (just the strip, not the whole face) 446,965,972,992,000 combinations. Interestingly in the ads for Dr. Ronald Turner-Smith's book "The Amazing Pyraminx" the Master Pyraminx is cited as a puzzle superior to Rubik's Cube because there are no centre pieces and it's harder! (Both points debatable IMHO) Also Turner-Smith gives the following maximum number of moves for each type of Pyraminx puzzle: (The popular pyraminx is now known to be 11 moves at most or 14 moves if the tips are included) Type 1 24 moves ?? Type 2 28 moves ?? Type 3 38 moves ?? Type 4 215 moves (Senior Pyraminx) Type 5 255 moves (Master Pyraminx) Also it is known that transparent pyraminx puzzles were made. This would be a good idea for the cube as well. Meffert also considered a textured pyraminx for the blind, and ones with leather and wood finishes. All the post-cube puzzles compare themselves to the cube, such as the Master Pyraminx, and more recently Smart Alex. It seems that Rubik's Cube is the benchmark for all others to compare with. Alas, Uwe Meffert's puzzle club was a bust. Barring unique prototypes (perhaps Singmaster or Hofstadter have a Master Pyraminx, I'll check) none of the following were produced: (most of these are documented in the extremely rare "Pyraminx The Exciting new 1982 range" or the even more obscure 1983 edition booklet. Both of these have full colour pages with photos of cardboard mockups of all the variants.) 1982: Pyraminx Star (exists in small quanities, in Constantin's catalog) Pyraminx Pentagon, Pyraminx Hexagon (Computer Simulation/Mockup only) One can also imagine Septagons, Octagons etc... Pyraminx Barrel Junior, Pyraminx Barrel Senior (Mockup only) Pyraminx Disc Chess (Prototypes exist) Pyraminx Ultimate (as shown in July 82 Scientific American, Mockup) Pyraminx Crystal, Pyraminx Ball (Mockups, July 82 S.A) I'd really like to see the mechanism for a working crystal! Pyraminx Assembly Puzzles, 4 types (They exist) Pyraminx Octahedron (An octahedral skewb, I believe Braun & Bandelow made some) Gerd Braun is the inventor of the Moody Ball (rare but exists) Pyraminx Tetrahedron (Ben Halpern made a prototype) 1983: Space Grenade (???) Crystal Ball (Looks like an orb, definitely not the same though) However.... Just a few days ago I got Constantin's catalog. Surprisingly there is a picture of Josef Trajber's Octahedron inside. Also there is a picture of what appears to be a Pyraminx Ball. Other ideas he includes are a 2x2x2 siamese cube, new variants on Fisher's cube, e.g. Fisher's Domino, and a Pyraminx Ultimate for 180 DM! ...and so the search for new cube variants continues. Please send me your comments (Does anyone actually own a working Master Pyraminx??) I'm also interested in exchanging full cube lists with other collectors. Mark Longridge Email: mark.longridge@canrem.com 259 Thornton Rd N Oshawa Ontario Canada L1J 6T2 -- Canada Remote Systems - Toronto, Ontario, Canadas World's Largest PCBOARD System - 416-629-7000/629-7044