Five figures are in the plane, three are three-dimensional. The tetracubes are called I, O, L, T, N, tower right, tower left and tripod. If you leave out the 1x4 bar and
the 2x2 square and add the V-piece with three cubelets, you get the seven
Soma cubes. I made a web site about this topic.
There is a notation for the figures. Numbers describe the position of the bars and the height. The figure 12 e.g. has the notation 1223. Class 1: 11111111
Daniel Moelle detected with the help of his computer that the four open cases in black have also a solution. I could build the figures by his instructions.
Ishino Keiichiro has found all the solutions of the magnification problem. I:224, O:1390, L:1804, T:356, N:770, Left & Right Towers both:803, Tripod:126. (Communicated by Darian Jenkins)
6x6x6 Cube
This leads to the problem to build a 4x4x4 Cube with all 64 cubelets. Solution, sent by Darian Jenkins
The two halves form the 4x4x4 cube.
Tetris has an interesting history: The Russian Alexij Patschitnow invented it in 1984. He was working in the computer center of the Academy of Science in Moscow at that time. The game soon became the student's cult game at Moscow universities. There were also clones at German universities, which even ran on computers not being able to show graphics. I remember pieces were made by double crosses (#). Minoru Arakawa, president of Nintendo of America, watched the game on a computer fair and bought the rights for commercialization - cheaply. (There is an own story behind this word.). When the Game Boy entered the market, it was equipped by this game. Then Tetris really became famous. Many different versions of the game were developed for the PC in the last 25 years. Maybe the shareware game Wintris is the most well kown. You play it with the cursor keys and key 5. I recommend two games similar to tetris, the freeware
game Columns and the postcard-ware program ;-) Clickomania. You can download
both games on the internet. Be careful, you can become addicted.
If you want to play with tetracubes you have to make them with your hands. You can make tetracubes of cubes. You buy a length of wood which is square in cross-section, cut it into cubes and glue the cubes together. Another method is glueing dice. The best thing is to use a two component glue, because it needs time to harden. Then you can form the tetracubes without having to hurry. A cheap method is making them from a sheet of paper. You
must design a base of every tetracube and fold it.
German Andrew Clarke
Wikipedia
English Andrew Clarke
Torsten Sillke
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