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What is a Soma Cube?
What is a Soma Cube?
The Soma cube is a solid dissection puzzle invented by Piet Hein in 1936. Seven pieces made out of unit cubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes.
The Soma cube is a solid dissection puzzle invented by Piet Hein in 1936. Seven pieces made out of unit cubes must be assembled into a 3×3×3 cube. The pieces can also be used to make a variety of other 3D shapes.
Soma Cube fact.
Soma Cube fact.
There are 240 distinct solutions of the Soma cube puzzle, excluding rotations and reflections: these are easily generated by a simple recursive backtracking search computer program similar to that used for the eight queens puzzle. Current world record for the fastest time to solve a soma cube is 2.93 seconds and was set by Krishnam Raju Gadiraju, India.
There are 240 distinct solutions of the Soma cube puzzle, excluding rotations and reflections: these are easily generated by a simple recursive backtracking search computer program similar to that used for the eight queens puzzle. Current world record for the fastest time to solve a soma cube is 2.93 seconds and was set by Krishnam Raju Gadiraju, India.
IN PRACTICE
IN PRACTICE
REMEMBER
REMEMBER
-Make sure that you have the paper in a comfortable position for freehand drawing and not fixed down.
-Make sure that you have the paper in a comfortable position for freehand drawing and not fixed down.
-Turn it on an angle if that feels better.
-Turn it on an angle if that feels better.
-Use an HB – 2B pencil.
-Use an HB – 2B pencil.
-Hold your pencil loosely and away from the point.
-Hold your pencil loosely and away from the point.
-Keep the paper free and not fixed down.
-Keep the paper free and not fixed down.
-Avoid erasing too often.
-Avoid erasing too often.
-Use different pressures on the pencil to achieve different tones.
-Use different pressures on the pencil to achieve different tones.
-Soft pencils smudge so don’t rub your hands over your work.
-Soft pencils smudge so don’t rub your hands over your work.
LET'S DO IT
LET'S DO IT
Freehand sketch the Soma Cube using the freehand drawing steps 1 – 4 as a guide.
Freehand sketch the Soma Cube using the freehand drawing steps 1 – 4 as a guide.
LET'S DO IT
LET'S DO IT
1. Freehand sketch the cube, using the given starting points.
1. Freehand sketch the cube, using the given starting points.
2. Divide the height into three equal spaces, measuring with a ruler or a set square with edge measurements. Sketch parallel lines at 30° to the back of both sides. Sketch in the diagonals on both sides.
2. Divide the height into three equal spaces, measuring with a ruler or a set square with edge measurements. Sketch parallel lines at 30° to the back of both sides. Sketch in the diagonals on both sides.
3. Use the intersection of the diagonals and the 30° lines to sketch in three equally spaced vertical lines. Complete the top surface.
3. Use the intersection of the diagonals and the 30° lines to sketch in three equally spaced vertical lines. Complete the top surface.
4. Take out the four missing blocks and darken in the outline.
4. Take out the four missing blocks and darken in the outline.
5. Add some blocks to the ground plane as shown in the photo at the top of the sheet.
5. Add some blocks to the ground plane as shown in the photo at the top of the sheet.
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