http://tag5berry.edu.glogster.com/somacube/
From Wikipedia:
The Soma cube is a solid dissection puzzle invented by Piet Hein in 1933[1] during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other interesting 3D shapes.
The pieces of the Soma cube consist of all possible combinations of four or fewer unit cubes, excluding all convex shapes (i.e., the 1x1x1, 1x1x2, 1x1x3, 1x1x4 and 1x2x2 cuboids). This leaves just one three-block piece and six four-block pieces, of which two form an enantiomorphic pair. A similar puzzle consisting solely of all eight four-block pieces (including the cuboids) would contain 32 unit cubes and, thus, could not be assembled into a cube.
The seven Soma pieces are all polycubes of order three or four:
http://www.gamesandpuzzles.co.uk/instructions/soma1.gif
http://www.gamesandpuzzles.co.uk/instructions/soma2.gif
How to:
Wood Glue
27 Wooden Blocks
1 Paper Plate
1 Sticky Note
Soma Cube Pattern Instructions
Soma
Edge
Face
Vertice
Square
1 inches squared
Step 1: Fold a sticky note into thirds.
Step 2: Dip the sticky note partially into the wood glue that is on the paper plate.
Step 3: Brush a portion of the glue onto the face of one of your blocks.
Step 4: Place the sticky side against the face of another block.
Step 5: Following the instructions given to you, repeat steps 2-4 untl you have formed the 7 shapes with your 27 blocks.
Step 6: (when dry) attempt to assemble a 3 by 3 cube using the shapes you created
http://www.mhhe.com/math/ltbmath/bennett_nelson/conceptual/instructor/grids/IsometricDotPap.pdf
From Wikipedia:
The Soma cube is a solid dissection puzzle invented by Piet Hein in 1933[1] during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other interesting 3D shapes.
The pieces of the Soma cube consist of all possible combinations of four or fewer unit cubes, excluding all convex shapes (i.e., the 1x1x1, 1x1x2, 1x1x3, 1x1x4 and 1x2x2 cuboids). This leaves just one three-block piece and six four-block pieces, of which two form an enantiomorphic pair. A similar puzzle consisting solely of all eight four-block pieces (including the cuboids) would contain 32 unit cubes and, thus, could not be assembled into a cube.
The seven Soma pieces are all polycubes of order three or four:
The "L" tricube.
T tetracube: a row of three blocks with one added below the center.
L tetracube: a row of three blocks with one added below the left side.
S tetracube: bent triomino with block placed on outside of clockwise side.
Left screw tetracube: unit cube placed on top of anticlockwise side. Chiral in 3D.
Right screw tetracube: unit cube placed on top of clockwise side. Chiral in 3D.
Branch tetracube: unit cube placed on bend. Not chiral in 3D.
http://www.gamesandpuzzles.co.uk/instructions/soma1.gif
http://www.gamesandpuzzles.co.uk/instructions/soma2.gif
How to:
Wood Glue
27 Wooden Blocks
1 Paper Plate
1 Sticky Note
Soma Cube Pattern Instructions
Vocabulary
CubeSoma
Edge
Face
Vertice
Square
1 inches squared
Step-By-Step Instructions
Step 1: Fold a sticky note into thirds.
Step 2: Dip the sticky note partially into the wood glue that is on the paper plate.
Step 3: Brush a portion of the glue onto the face of one of your blocks.
Step 4: Place the sticky side against the face of another block.
Step 5: Following the instructions given to you, repeat steps 2-4 untl you have formed the 7 shapes with your 27 blocks.
Step 6: (when dry) attempt to assemble a 3 by 3 cube using the shapes you created
http://www.mhhe.com/math/ltbmath/bennett_nelson/conceptual/instructor/grids/IsometricDotPap.pdf
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