Makers from Miller Elementary participate in the Ann Arbor Mini Maker Faire.
Friday, June 3, 2011
Soma Cubes
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
How to make a habitat on Mars
What is a Marsville habitat? It is a cube made from visqueen (plastic sheeting) and duct tape. Groups of 7-8 students made cubes from 600 square feet of plastic and duct tape. Each cube was inflated by a box fan.
The students made these habitats to simulate life on Mars.
How to make a "Green Screen" Movie
Use jaycut.com
We are making "Green Screen" Science Fiction movies for free with Jaycut.com.
This is what to do:
Part A:
Film to movies: One with a green-screen background, like a green sheet from Ikea. Film another scene to be the background.
Part B:
1. Place the video clip with the green-screen background in track Video A.
2.Place the video or image (in track B) that should replace the green parts directly beneath the video in track A.
3.Double click on the clip in Video A so the settings for that clip are shown.
4.Click on the "Effects" button to find the Chroma key feature.
5.Now just let the system know which color should be replaced. Use the color picker and select the green part in the video player.
Make sure the Chroma key feature is enabled.
6.Click preview.
7.If it doesn't look good experiment with the "Sensitivity" until you achieve the optimal result
We are making "Green Screen" Science Fiction movies for free with Jaycut.com.
This is what to do:
Part A:
Film to movies: One with a green-screen background, like a green sheet from Ikea. Film another scene to be the background.
Part B:
1. Place the video clip with the green-screen background in track Video A.
2.Place the video or image (in track B) that should replace the green parts directly beneath the video in track A.
3.Double click on the clip in Video A so the settings for that clip are shown.
4.Click on the "Effects" button to find the Chroma key feature.
5.Now just let the system know which color should be replaced. Use the color picker and select the green part in the video player.
Make sure the Chroma key feature is enabled.
6.Click preview.
7.If it doesn't look good experiment with the "Sensitivity" until you achieve the optimal result
Tessellations
From Wikipedia:
A tessellation or tiling of the plane is a pattern of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M. C. Escher. Tessellations are seen throughout art history, from ancient architecture to modern art.
In Latin, tessella is a small cubical piece of clay, stone or glass used to make mosaics.The word "tessella" means "small square" (from "tessera", square, which in its turn is from the Greek word for "four"). It corresponds with the everyday term tiling which refers to applications of tessellations, often made of glazed clay.
How to make tessellations with an index card:
http://www.ncusd203.org/central/html/what/math/porter/Bees_3.pdf
Different types of tessellations:
http://www.margateschools.org/eat/sterling/8/tessalations/Tessellation%20Handout.pdf
A tessellation or tiling of the plane is a pattern of plane figures that fills the plane with no overlaps and no gaps. One may also speak of tessellations of parts of the plane or of other surfaces. Generalizations to higher dimensions are also possible. Tessellations frequently appeared in the art of M. C. Escher. Tessellations are seen throughout art history, from ancient architecture to modern art.
In Latin, tessella is a small cubical piece of clay, stone or glass used to make mosaics.The word "tessella" means "small square" (from "tessera", square, which in its turn is from the Greek word for "four"). It corresponds with the everyday term tiling which refers to applications of tessellations, often made of glazed clay.
How to make tessellations with an index card:
http://www.ncusd203.org/central/html/what/math/porter/Bees_3.pdf
Different types of tessellations:
http://www.margateschools.org/eat/sterling/8/tessalations/Tessellation%20Handout.pdf
How to make a Flashmob
This is how we made a flashmob. Over 500 people accessed this website over 48 hours to learn the dance.
http://millerflashmob.blogspot.com/
Here is a video of our flashmob:
http://www.youtube.com/watch?v=XVvlOpiao0E
Here is an article about our flashmob:
http://canton-mi.patch.com/articles/cantons-miller-elementary-students-create-flash-mob
http://millerflashmob.blogspot.com/
Here is a video of our flashmob:
http://www.youtube.com/watch?v=XVvlOpiao0E
Here is an article about our flashmob:
http://canton-mi.patch.com/articles/cantons-miller-elementary-students-create-flash-mob
Toothpick Tetrahedron
From Wikipedia:
In geometry, a tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. A regular tetrahedron is one in which the four triangles are regular, or "equilateral", and is one of the Platonic solids. The tetrahedron is the only convex polyhedron that has four faces.
The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex.
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a triangular pyramid.
Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two nets.
Materials
Instructions For Toothpick Tetrahedra
1. Gather materials
2. lay out all six toothpicks
3. glue three toothpicks together to create a triangle
<l
4. glue on two more toothpicks to the triangle to create a diamond with a toothpick in the middle
<l>
5. glue on a toothpick to one of the ends of the diamond
<l>--
6. Glue the same toothpick to the opposite end
7. Let dry for 5-10 minutes
8. Your tetrahedra is complete!
occasionally if you put on too much glue, you cannot complete steps 4-6 with out letting the previous step dry first. Thank you!
Here's a link with pictures:
http://tag5berry.wikispaces.com/Toothpick+Tetrahedra
In geometry, a tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex. A regular tetrahedron is one in which the four triangles are regular, or "equilateral", and is one of the Platonic solids. The tetrahedron is the only convex polyhedron that has four faces.
The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex.
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a triangular pyramid.
Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two nets.
Materials
- Toothpicks (6 toothpicks per single tetrahedra)
- Tacky glue
- Newspaper or plates (to put underneath)
Vocabulary
- Tetrahedra
- Edges
- Face
- Verticies
- Triangle
- Angles
- Acute
Instructions For Toothpick Tetrahedra
1. Gather materials
2. lay out all six toothpicks
3. glue three toothpicks together to create a triangle
<l
4. glue on two more toothpicks to the triangle to create a diamond with a toothpick in the middle
<l>
5. glue on a toothpick to one of the ends of the diamond
<l>--
6. Glue the same toothpick to the opposite end
7. Let dry for 5-10 minutes
8. Your tetrahedra is complete!
occasionally if you put on too much glue, you cannot complete steps 4-6 with out letting the previous step dry first. Thank you!
Here's a link with pictures:
http://tag5berry.wikispaces.com/Toothpick+Tetrahedra
Truncated Icosahedron
From Wikipedia:
In geometry, the truncated icosahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids whose faces are two or more types of regular polygon.
It has 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.
A soccer ball:
Here is a tutorial from our class:
http://tag5berry.wikispaces.com/Truncated+Icosahedra
Truncated Icosahedron net:
http://mathworld.wolfram.com/pdf/TruncatedIcosahedron.pdf
Cool website:
http://users.erols.com/quantime/Archimedean.html
In geometry, the truncated icosahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids whose faces are two or more types of regular polygon.
It has 12 regular pentagonal faces, 20 regular hexagonal faces, 60 vertices and 90 edges.
A soccer ball:
Here is a tutorial from our class:
http://tag5berry.wikispaces.com/Truncated+Icosahedra
Truncated Icosahedron net:
http://mathworld.wolfram.com/pdf/TruncatedIcosahedron.pdf
Cool website:
http://users.erols.com/quantime/Archimedean.html
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