SOMA Figures D001025 |
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NOTE
To describe double set Soma, it is sometimes usefull to
have two different notations, to separate the pieces.
I use:
Set One: 1,2,3,4,5,6,7
Set Two: V,L,T,Z,A,B,P
--------======== DOUBLE SET ========-------- 2x #7will make a 2x2x2cube 2x #6will make a 2x2x2cube 6333/2227 Make a 4x2x2box 6637/2677 /SOMA001 ;septempartite /4...../44..../L4..../LLL.../33377./11VVP7 /....../22..../2Z..../2ZZ.../B3ZP7./1TVPP. /....../....../....../BB6.../B66.../TTT... /....../....../....../....../A6..../AA.... /....../....../....../....../55..../5A.... /....../....../....../....../....../5..... Alternative |7...../77..../11..../3LL.../3BT56./3TTT66 |.....-/72...-/12...-/22L..-/3BB56-/44B55- |...---/...---/...---/ZZL---/VZZ---/V44--- |..----/..----/..----/..----/VP----/PP---- |..----/..----/..----/..----/AA----/AP---- |.-----/.-----/.-----/.-----/.-----/A----- /SOMA002 ;Three ways out /...253.../...557.../222667744 /...253.../...563.../235567441 /...223.../...567.../333667711 /---...---/---...---/---647--- /---...---/---...---/---441--- /---...---/---...---/---411--- /SOMA003 ;british square /......./.11144. /......./1171744 /..757../3777722 /..555../3356552 /..666../3366652 /......./3332644 /......./.22244. Alternative 003 |......./.33344. |......./1136644 |..676../1166622 |..677../1177552 |..755../4775532 |......./4455233 |......./.42223. /SOMA004 ;Factory /755.../775.../111333 /655.../755.../111633 /665.../766.../776633 /....../....../722243 /....../....../224444 /....../....../222444 /SOMA005 ;The Memorial II /...../...../...../...../...../22311 /...../...../.773./.743./.443./24331 /..2../..2../.722./.743./.445./24355 /...../...../.711./.771./.656./66565 /...../...../...../...../...../65566 /SOMA006 ;Sentry tower /22...../266..../2544.../75544../333755./1113336 /22...../264..../2644.../77545../737756./1117366 Here's a neat way to solve THE SENTRY(006) and UP & DOWN(007) it can also be used as a "transistion": Build up two set of STAIRS using the flat pieces, one from each set: /....1 /...11 /..333 /.4432 /44222 Now, build three 2x2x2 cubes by slapping two #5 pieces together, two #6 pieces together and two #7 pieces together. Stack the three large cubes in a COLUMN that is 6-high: /55/55/66/66/77/77 /55/55/66/66/77/77 The COLUMN and the two STAIRS can now assemble into the SENTRY TOWER and also the UP & DOWN. C. McFarren. 03.1999 And to the BD011 UP/DOWN. /SOMA007 ;Up and down /55...../551..../6611.../66333../772344./7722244 /55...../55...../66...../66...../77...../77..... /......./1....../1....../3....../2....../2...... /......./......./1....../3....../3....../2...... /......./......./......./3....../4....../2...... /......./......./......./......./4....../4...... /......./......./......./......./......./4...... /SOMA008 ;The Five square ;Not proved possible ;It seem to be impossible, because the only way ;to make the flat sides are ;422 411 322 311 422 422 311 311 ;442 441 332 331 OR 442 442 331 331 ; 42 4 3 2 3 42 42 3 3 ; OR ;411 411 322 322 ;441 441 332 332 ; 4 4 3 2 3 2 ;Which leaves 5,5,6,6,7,7 to make the center box ;with the right sort of tab's, and that dont seem ;to be possible. ;An IMPOSSIBILITY proof would be welcome /........./...111... /........./...111... /........./...111... /...111.../111111111 /...111.../111111111 /...111.../111111111 /........./...111... /........./...111... /........./...111... Sometimes when solving doubles, try to split into two symmetric parts, each using one set. I used this in solving D009, D013, D015 /SOMA009 /7552...4477/65322244157/6333...1166 /7744...2557/75144222356/6611...3336 /SOMA010 ;Big building /7.../77../6644/7333/7722/3332/1112 /..../7.../644./653./755./635./111. /..../..../55../45../45../66../26.. /..../..../4.../4.../2.../2.../2... /SOMA011 ;The Blockhouse /......./...4... /.73452./.77452. /.63472./.73553. /.63772./6644733 /.52221./.44663. /.52161./.55161. /......./...1... /SOMA012 ;The Tri-tower /222/255/766/773/333/143/244/274/277 /15./45./46./76./33./11./55./66./27. /1../1../4../4../3../5../5../6../6.. /SOMA013 /....../6.3.7./633377 /....../.....1/664471 /..55../2.55../222441 /..55../..55.2/144222 /....../1...../174466 /....../.7.3.6/773336 /SOMA014 ;solve by Katrine 14.03.1999 /66.../613../1115./41155 /66.../633../4274./42775 /...../663../4244./55722 /...../...../5247./53772 /...../...../...../33372 /SOMA015 /3....3/3....3/311113/455664/266552 /....../3....3/451164/456564/276572 /....../....../4....4/27..72/277772 /SOMA016 ;The Aztec temple ;proved impossible by CMcF, using Jotun's Proof ;because it has a parity of 16 and solvables cannot ;exceed parity 10 for double figures. /......./......./......./......./......./...1... /......./......./......./......./...1.../..111.. /......./...1.../...1.../...1.../..111../.11111. /...1.../..111../..111../..111../.11111./1111111 /......./...1.../...1.../...1.../..111../.11111. /......./......./......./......./...1.../..111.. /......./......./......./......./......./...1... /SOMA017 ;The Basalt Rock ;Not possible using Jotun's proof /....1..../...111.../..11111../.1111111./111111111 /........./....1..../...111.../..11111../.1111111. /........./........./....1..../...111.../..11111.. /........./........./........./....1..../...111... /SOMA018 ;buttressed triangle /.....4...../....444..../...44743.../..2477333../.122265561./11333656611 /.........../.........../.........../.....7...../....665..../...37256... /.........../.........../.........../.....2...../....725..../...77255... /SOMA019 ;gantry /7.../77../552./772./722./333./664./6344/1114 /..../7.../25../75../55../53../46../333./111. /..../..../2.../2.../2.../5.../4.../46../66.. /..../..../..../..../..../..../..../4.../6... /SOMA020 ;snowflake /........./....4.... /....4..../....4.... /...346.../...111... /..33366../..11716.. /.4457333./447577222 /..75553../..77552.. /...665.../...622... /....6..../....2.... /........./....2.... /SOMA021 ;Acropolis /........./....3.... /........./...333... /....2..../..22211.. /...677.../.4467711. /..66776../444477611 /...555.../.4452566. /....5..../..55222.. /........./...333... /........./....3.... /SOMA022 ;Again using the method of symmetry /2...66...3/27..66..53/2771144553 /....66..../35..66..53/2744114472 /3........2/35......72/3554411772 /SOMA023 ;Dobble set Throne /.11./.31./.33./6322/6772/4472 /..../..../..../.61./6675/4445 /..../..../..../.61./6617/4455 /..../..../..../3..7/3377/3422 /..../..../..../..../.55./.52. /..../..../..../..../..../.52. /SOMA024 ;airport /...../...../...../...../...../..114 /...../...../...../...../...../..144 /...../...../...../...../...../..342 /...../...../...../...../...../..332 /77.../77.../66.../66.../55.../55322 /77.../77.../66.../66.../55.../55322 /...../...../...../...../...../..332 /...../...../...../...../...../..342 /...../...../...../...../...../..144 /...../...../...../...../...../..114 /SOMAD025 ;Solved by Thorleif 23.10.99 /.1.T./11TTT/222BB/2...B/P...6/5...A/5...V/Z...V/Z...7 /...../...../...../PLL6B/PPL66/55LAA/Z44AV/Z3447/33377