| Thorleif\'s_SOMA_Page SOMA puzzle site with graphics, newsletter and software. |
| The_Three_Dimensional_Polyominoes_of_Minimal_Area L. Alonso and R. Cert's abstract of a paper published in vol. 3 of the Elect. J. Combinatorics. Full paper available in different formats (.pdf, postscript, tex etc). |
| Three_Nice_Pentomino_Coloring_Problems Alexandre Owen Muñiz presents the Icehouse set which lends itself to different polyomino coloring games. |
| Tiling_a_Square_With_Eight_Congruent_Polyominoes Michael Reid's abstract of a paper in the "Journal of Combinatorial Theory, Series A". |
| Tiling_and_Packing_Results_of_Torsten_Sillke Polyominoes, polycubes and polyspheres. |
| Tiling_of_Pythagorean_Triplets Joe Fields suggests that L-decomposition of squares of Pythagorean triplets could always be tiled. |
| The_Tiling_Puzzle_Games_of_OOG Mr. Confetti presents a Windows and Java game for tangrams, polyominoes, and polyhexes. |
| Tiling_Rectangles_and_Half_Strips_with_Congruent_Polyominoes Michael Reid's abstract of paper in the "Journal of Combinatorial Theory, Series A". |
| Tiling_Stuff Jonathan King examines problems of determining whether a given rectangular brick can be tiled by certain smaller bricks. Includes numerous articles in .pdf format. |
| Tiling_with_Notched_Cubes Robert Hochberg and Michael Reid exhibit an unboxable reptile: a polycube that can tile a larger copy of itself, but can't tile any rectangular block. Abstract of article to "Discrete Mathematics". |
| Unbalanced_Anisohedral_Tiling Joseph Myers and John Berglund found a polyhex that must be placed in two different ways in a tiling of a plane, such that one placement occurs twice as often as the other. |
| Unbeatable_Tetris Java applet demonstres that this tetromino-packing game is a forced win for the side dealing the tetrominoes. Complete with mathematical proof. [Java] |
| Unfolding_the_Tesseract Peter Turney lists the 261 polycubes that can be folded in four dimensions to form the surface of a hypercube, and provides animations of the unfolding process. |
| What_is_a_Golygon? Harry Smith describes Dr. Dewdney's article in the July 1990 Scientific American's Mathematical Recreations column. |
| Xominoes Livio Zucca finds a set of markings for the edges of a square that lead to exactly 100 possible tiles, and asks how to fit them into a 10x10 grid. |
| Annual_Swedish_Phonetics_Conferences Includes links to on-line abstracts (1996-), programs, and contributions (1997-). |
| Computational_Linguistics_Colloquia Bi-weekly meetings on Fridays at The Utrecht institute of Linguistics OTS. Overview, program, abstracts and presentations. |
| Language_Conferences_Worldwide Lists upcoming events in language, linguistics, speech and hearing therapy, translation, TESOL and related fields. |
| Languages_and_The_Media International conference for languages in the audio-visual media, takes place every second year in Berlin and is a meeting point for media experts from all over the world |
| Perspectives_on_Aspect Hosted by The Utrecht Institute of Linguistics OTS on December 12-14, 2001. Themes, organizers, program, speakers, abstracts and proceedings. (December 12, 2001) |
| Evolution_of_Language Third conference. Held in Paris, France 3-6 April 2000. Brings together linguists, computer scientists, anthropologists, palaeontologists, ethologists, geneticists, neuroscientists, and other scientis |
| BCC_Microimaging,_Inc_ Offers microscopy consulting, confocal microscopy, image processing, digital micrographs, stock images, imaging software, and labeled antibodies for mapping cell structures and oxidative DNA damage. |
| Biocom__Universal_Laboratory_Imaging Offers hardware and software complete solutions in image analysis. |
| Bio-Imaging_Research,_Inc_ Designers and markers of industrial x-ray inspection imaging systems. |
| BioImaging_Systems Gel documentation systems and imaging and analysis software. UVP designs, CCD cameras, image acquisition and analysis software for chemifluorescence, chemiluminescence, fluorescence and visible light |
| Bioquant Includes neuroanatomy, bone histomorphometry, biomaterials, stereology, 3-D modeling, toxicology, pathology, cell biology, and time-lapse imaging. |
| Clarte_Imaging_Solutions,_Inc_ Imaging equipment consulting firm specializing in IMAGEQA standardized testing programs for cardiac cath fluoroscopy, digital, and cine image quality characteristics. Provides recently adopted NEMA-SC |
| Cognitech Specializes in forensic and medical video image processing, supplies hardware, software and services from Pasadena, California. |
| Firstsight_Vision_Ltd_ Used for industrial machine vision applications, such as area and linescan cameras, lenses and framegrabbers. Contacts in Surrey, UK. |
| FLIR_Systems,_Inc_ Sells infrared cameras and software. Applications for products include quality control applications in manufacturing asphalt pavement, automation systems, structural integrity of buildings, paper man |
| I-cube_Image_Analysis_and_Processing Reseller of imaging products including frame grabbers, digital cameras, software and analysis workstations. |
| Image_Solutions Specializes in imaging system consultancy and design. |
| Image_Teck Range of high resolution digital cameras, imagers and integrated systems with lenses, lights, sensors, framegrabbers, computers, software and control devices. Contacts in Encinitas, California. |
| ImageWarp Image analysis, processing and editing software for metrology, lab automation, machine vision, bioinformatics and material analysis. Compatibility with industrial imaging hardware and standard video c |
| Itronics_Imaging_Technologies High speed digital camera systems for motion analysis. On-line store, quick quotes and rental. Representing Roper Scientific MASD, Redlake, and Cooke Corporation. |
| Kinetic_Imaging,_Ltd_ Suppliers of scientific / bio imaging software and systems. Applications include: genetics and toxicology, tissue and cell culture quantification and live cell, ultrasound and dynamic imaging. |
| K-Space_Associates,_Inc_ Scientific Imaging systems. |
| Linescan_Camera Details of systems with computer interfacing for automation and spectral diagnostics in the UV, visible and IR range from manufacturer in Berlin, Germany. |
| Millennium_Technology_Inc_ Medical imaging company focusing on the manufacture and sale of MRI systems. |
| Nuclear_Interface Offers complete solutions for the PET (Positron Emission Tomography) laboratory. Targetry, synthesizers, quality control, hot cells and dispensing units. |
The SOMA cube was invented by Piet Hein,
a Danish poet, dreamer, mathematician and genius; way back in 1936.
The puzzle did not become popular in the 'States until 1969 when
Parker Bros. packed and shipped it as the "3-D answer to Tan-Grams".
Sadly, the disco-erazoic Soma Cube was smothered away into extinction
by another puzzle during the pre-rappazoic period.
I'm not knocking the Rubik's cube, but it has only ONE solution.
SOMA offers many more...
Why did I dedicate this page to this ever so archaic and obsolete
puzzle? Well, to tell you the truth, there isn't much of anything
else out there. Check out my list.
For all you SOMA freaks - a present!
Click on the line(s) below to download your copy of
Solve101, in virus-free freeware!
Written in high-tech cutting-edge QBASIC.
See how the fantastic program solves
any SOMA structure in a matter of seconds!
Prepare to be stunned in total awe as it solves
regular, split and partial figures!
Watch the program crumble your dreams of ever solving
the infamous W-Wall by proving it impossible!
Amaze your friends!
Download the nifty Soma-solving program now in
QBASIC or compiled
EXE format.
Oops! You'll need these DATA files, too!
...and finally, a cool ICON for you to use.
(Do 'cool' people actually use the word 'cool' anymore? I don't know...)
If you have any problems, either
e-mail me, read the tutorial or visit the
ultimate SOMA site for help.
An exciting scene from Solve101
NEW AND IMPROVED!
Thorleif Bundgaard has just upgraded the program to version 1.21.
Solve121 includes the tilt
and multi-solve features; plus it solves (or finds impossible)
regular, split and partial figures in a matter of seconds. Hold your breath and don't get too excited; it can now display SOMA+ figures (but not solve them... yet!).
This zipped file contains everything you need in a single download.
File name: Solve121.zip
File size: 84KContents:
SOLVE121.EXE (DOS Soma solving program)
SOLVE121.BAS (QBASIC source code)
SOLVE121.HTM (data file; 4 test Soma figures)
FIGS1-36.HTM (data file; original 36 Soma figures)
FIGSPLUS.HTM (data file; 2 sample Soma+ figures)
READ-121.TXT (revision history)
Installation instructions: Unzip the contents of
SOMA121.ZIP into any one directory (easy!).
...And for you WindowsTM (C) (R) fans:
Bob Nungester
created a Windows Soma Program
in his secret laboratory that can solve (or find impossible)
regular, split and partial figures in less than 1/8 second.
To solve DOUBLE-SET figures (yes, double-set figures),
downlown the upgrade, which
also contains the latest Single-Set Soma-Solving version
(try to say that 10 times fast).
NOTE: Even though the single-set solver is rather speedy,
the double-set solver can take hours to run. Do not be alarmed,
as this is actually considered a break-through in Soma technology.
File name: SOMAW.ZIP
File size: 1.5MContents:
SETUP.EXESETUP.LSTSOMA.CAB
...(setup files)
File name: SOMA16.ZIP
File size: 133KContents:
SOMA.EXE & .CFG (single set solver)
DBLSOMA.EXE & .CFG (double set solver)
POLYFIGS.EXE & CFG (18-omino generator)
SOMACOMP.EXE (data file comparison program)
ONESET.HTM (single set data file)
TWOSET.HTM (double set data file)
36 & D.HTM (single & double set data files)
8SYM16X3.HTM (18-omino data file)
4SYM16X3.HTM (18-omino data file)
4SYM18X3.HTM (18-omino data file)
2SYM18X3.HTM (18-omino data file)
MANUAL.DOC (instruction manual)
Installation instructions: Unzip then contents of SOMAW.ZIP
into any one directory. Run SETUP.EXE and answer using the defaults.
Reboot. Unzip SOMA16.ZIP and overwrite the contents in your
C:\Program Files\Soma directory. You will have to use your
Windows expertise to include the double-set solver in the
SOMA Figure Solver program group. As more upgrades arrive
(i.e., SOMA17.ZIP, SOMA18.ZIP, etc.) it is not necessary to
download or re-install SOMAW.ZIP again.
Eduardo Prez has written a Soma solving program in QBASIC which generated over 500 figures, along with the number of all possible solutions as well. Later on, Mr. Prez developed a Soma viewer, which in turn displays all of the 500+ figures but does not reveal the entire answer; it does however supply a single hint... the position of anyone of the 7 pieces. The idea? To solve each figure with the mind! No hint is provided for any figure that possesses less than 10 solutions, as those are easy enough to solve on the surface. NOTE: Installation for Windows Millenium only.
File name:
SomaPrez_Vb6_DOS.ZIP
File size: 1.77MContents:
setup.exeSetup.lstSoma-DOS.pifSoma-Vb6.CAB
Asycfilt.dllComcat.dllmsvbvm60.dll
Oleaut32.dllOlepro32.dllRchtxes.dll
Riched32.dllRichtx32.ocxSetup1.exe
soma.icoSoma-dos.exeSomaprez.dat
Soma-Vb6.exeSt6unst.exeStdole2.tlb
Vb6es.dllVb6stkit.dll
File name:
SomaPrez_DOS.ZIP
File size: 71.1KContents:
Soma-dos.exeSomaprez.dat
File name: MANUALES.ZIP
File size: 933KContents:
xcaso-bn.zipsoma-pag01.bmpsoma-pag02.bmp
soma-pag03.bmpsoma-pag04.bmpsoma-pag05.bmp
soma-pag06.bmpsoma-pag07.bmpsoma-pag08.bmp
soma-pag09.bmpsoma-pag10.bmpsoma-pag11.bmp
soma-pag12.bmpsoma-pag13.bmpsoma-pag14.bmp
soma-pag15.bmpsoma-pag16.bmpsoma-pag17.bmp
xsolu-bn.zipsoma-pag18.bmpsoma-pag19.bmp
soma-pag20.bmpsoma-pag21.bmpsoma-pag22.bmp
soma-pag23.bmpsoma-pag24.bmpsoma-pag25.bmp
soma-pag26.bmpsoma-pag27.bmpsoma-pag28.bmp
soma-pag29.bmpsoma-pag30.bmpsoma-pag31.bmp
soma-pag32.bmpsoma-pag33.bmpsoma-pag34.bmp
Yet another Soma solver...
File name:
BCSolve082.zip
File size: 169KContents:
BD026050.HTM
BP001025.html
D026050.HTM
LS001.HTM
SP001025.HTM
A026050.HTM
BP001025.htm
D001025.HTM
DS001025.HTM
bed.fig
cube3.fig
cube4.fig
cubit3.fig
cubit4.fig
doublecube.fig
flatE.fig
Example.bat
BCSolve082.exe
Written in C++ by Bruce Cropley,
this program can solve single and double SOMA sets within a fraction of a second, along with SOMA+ and BEDLAM figures!! Write to the author , or go visit Thorleif's SOMA Page for further details.
View some SOMA structures
Castles & Pyramids(116 total)
5-Based Crystals(115 total)
4-Based Crystals(175 total)
3-Based Crystals(82 total)
Figure set # 01
Figure set # 07
Figure set # 13
Figure set # 22
Figure set # 02
Figure set # 08
Figure set # 14
Figure set # 23
Figure set # 03
Figure set # 09
Figure set # 15
Figure set # 24
Figure set # 04
Figure set # 10
Figure set # 16
Figure set # 25
Figure set # 05
Figure set # 11
Figure set # 17
Figure set # 06
Figure set # 12
Figure set # 18
Figure set # 19
Figure set # 20
Figure set # 21
Zig-Zags(108 total)
Walls & Wells(188 total)
Spirals(97 total)
Nonominoes(1069 total)
Figure set # 26
Figure set # 33
Figure set # 41
Figure set # 46
Figure set # 27
Figure set # 34
Figure set # 42
Figure set # 47
Figure set # 28
Figure set # 35
Figure set # 43
Figure set # 48
Figure set # 29
Figure set # 36
Figure set # 44
Figure set # 49
Figure set # 30
Figure set # 37
Figure set # 45
Figure set # 50
Figure set # 31
Figure set # 38
Figure set # 51
Figure set # 32
Figure set # 39
Figure set # 52
Figure set # 40
Figure set # 53
Figure set # 54
Figure sets #49 thru 54 are NONOMINOES, which are like
TETRIS pieces; but instead of 4 squares there are 9.
If you stack a 9'moe three cubes high, then you have a
27-cube SOMA structure. Out of the 1285 possible 9'moes,
1069 of them are solvable SOMA structures.
Download the input text files for these structures, and calmly watch Solve101 or Solve 121 unravel their secret mysteries in a hyper-active way (no ADD medicine required):
File name: Solve92a.zip
File size: 26KContents:
CASPYR.HTM ...Figure sets no. 01 thru 06
CRYST5.HTM ...Figure sets no. 07 thru 12
CRYST4.HTM ...Figure sets no. 13 thru 21
CRYST3.HTM ...Figure sets no. 22 thru 25
ZIGZAG.HTM ...Figure sets no. 26 thru 32
ZIGZAG.HTM ...Figure sets no. 26 thru 32
WLLWLL.HTM ...Figure sets no. 33 thru 39
WLLWLL8.HTM ...Figure set no. 40
(my last contribution to the SOMA world)
SPIRAL.HTM ...Figure sets no. 41 thru 45
NONGON.HTM ...Figure sets no. 46, 47 & 48
(the symmetrical 9'moes only; not the entire list of 1069)
SOLVE92A.BAS ...an old tailored version of Solve 91;
this is the version that I personally use.
*Warning* It slightly strays from the original
color code, and does NOT include the tilt function;
one of the best features Mr. Thorleif Bundgaard has added onto
revision 121.
Visit other SOMA sites:
Ross Canning offers freeware for the polyomino
classics such as Cubix, Pentacubes, and Blackbox;
all available at his single-paged site:
Free Games and Puzzle Programs.
It also offers a rather clever Windows SOMA Solver
that should belong in every household computer.
It does not solve splits or partials,
but it works extremely well for regulars.
Simple to install, simple to use, and memory-wise
a real space saver (500K installed, 250K zipped).
Marc Moerig hosts a website entitled and including
the co-authored
Somatic, which can solve any Soma type puzzle,
regardless of the number or size of the polyomino animals involved,
as long as the final structure does not exceed 64 cubelets.
Splits and partials are welcome.
Visit the ultimate SOMA site:
In the meantime, you can educate yourself on the SOMA cube by visiting
Thorleif's SOMA Page,
maintained by my good friend Thorleif Bundgaard,
who co-wrote the solving program with me.
You can also download the SOMA-solving program (in *.BAS ~or~ *.EXE format)
from there, along with instuctions on how to run the program.
This is a *HUGE* SOMA site, with over 2000 figures to view,
the original Parker Bros. (and Danish!) booklet, history,
theories, proofs, newsletters... and much, much more!
It is also the home of (or links to) all SOMA related
freeware and java available on the WWW.
History of the Soma Cube
What the World has to Offer
Solve101 Tutorial
The Making of Solve101
How Solve101 Works
Mathematica
Soma Cube
Midi Files
Recipes
Misc.
Links
F.A.Q.
Letters
HX-20
What's New?
Home
Email
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