Tessellation Tile
Step 1: Create isosceles triangle.
Step 2 : Cut out pattern along the bottom edge.
Step 3 : Tape the paper cut out of the bottom to the left side of the tile.
Step 4 : Bisect right side of tile.
Step 5: Cut out half of right side and tape it to the straight side of the right edge.
Step 2 : Cut out pattern along the bottom edge.
Step 3 : Tape the paper cut out of the bottom to the left side of the tile.
Step 4 : Bisect right side of tile.
Step 5: Cut out half of right side and tape it to the straight side of the right edge.
Final Tessellation
Tessellation written piece
The idea behind this tessellation is simple use a triangle that can rotate in a 360 degree pattern on a piece of paper and repeat itself in perfect symmetry over the whole page. When I designed my tessellation is designed it to be an abstract triangle with ridges and dips in it. Once I had it I had it drawn on the paper I realized there was nothing specific that I saw in my pattern so I added four lines that crossed the shape and picked three colors to draw in the three of the five sections to create a more complex pattern.
The polygon that I created was a isosceles triangle what I did to it was on the bottom side I cut out a pattern being careful not to take any off a corner I then taped what I had cut out of the bottom and put it on the left side of the triangle. I then bisected the remaining untouched side and I cut a pattern out of one half of the bisected side and taped that piece on to the half that hadn't been cut I then made a more sturdy copy of this shape out of thicker paper and used it to construct the tessellation.
The transformation that my tile did was was a rotation that fit six copies of the tile into a 360 degree radius.
In my opinion math and art are two very separate but similar skills; Math is its own entity and so art. Math is a calculated science in which numbers are looked at; art is a more free thinking form of expression. Math is artistic in the way that seemingly random groups of number can be arranged into patterns and equations that add together, subtract, multiply and divide to understand the numbers and what they mean Math is a complex art form in itself. Music is an an art form which uses math Paul lockhart states, "Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the "language of music." It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a
thorough grounding in music notation and theory." The theory behind music is as much math as the triangles that are in a tessellation,it is a logical language that must have rules that are learned when performing. Tessellations are math but also art. To define them as math I looked at math forum.org. It said that a tessellation is a shape that repeats itself geometrically. But a tessellation can also be art, The site Math art fun.com says of a piece of M.C. Escher's that "In "Reptiles", one of his best known works, a reptile leaves a page on which the tessellation is drawn to become part of a three-dimensional scene. Of course, the irony is that the "three-dimensional" scene is also just a flat drawing." This is an artistic outlook on it as well as geometrical.
Even though math is a calculated science the two still go hand in hand. Math gives us dimensions and areas of space that we can gauge and measure distances and angles without any of these key components there would be no dimensions on which to make art. Not only does it give us the space, but the patterns that are created by math can be put into a visual form such as the tessellations. Imagine a line then cross this line in the center with another one, without even realizing it you have used math to create art you had the creativity to imagine the cross and then used knowledge of mathematics to create it.
The polygon that I created was a isosceles triangle what I did to it was on the bottom side I cut out a pattern being careful not to take any off a corner I then taped what I had cut out of the bottom and put it on the left side of the triangle. I then bisected the remaining untouched side and I cut a pattern out of one half of the bisected side and taped that piece on to the half that hadn't been cut I then made a more sturdy copy of this shape out of thicker paper and used it to construct the tessellation.
The transformation that my tile did was was a rotation that fit six copies of the tile into a 360 degree radius.
In my opinion math and art are two very separate but similar skills; Math is its own entity and so art. Math is a calculated science in which numbers are looked at; art is a more free thinking form of expression. Math is artistic in the way that seemingly random groups of number can be arranged into patterns and equations that add together, subtract, multiply and divide to understand the numbers and what they mean Math is a complex art form in itself. Music is an an art form which uses math Paul lockhart states, "Since musicians are known to set down their ideas in the form of sheet music, these curious black dots and lines must constitute the "language of music." It is imperative that students become fluent in this language if they are to attain any degree of musical competence; indeed, it would be ludicrous to expect a child to sing a song or play an instrument without having a
thorough grounding in music notation and theory." The theory behind music is as much math as the triangles that are in a tessellation,it is a logical language that must have rules that are learned when performing. Tessellations are math but also art. To define them as math I looked at math forum.org. It said that a tessellation is a shape that repeats itself geometrically. But a tessellation can also be art, The site Math art fun.com says of a piece of M.C. Escher's that "In "Reptiles", one of his best known works, a reptile leaves a page on which the tessellation is drawn to become part of a three-dimensional scene. Of course, the irony is that the "three-dimensional" scene is also just a flat drawing." This is an artistic outlook on it as well as geometrical.
Even though math is a calculated science the two still go hand in hand. Math gives us dimensions and areas of space that we can gauge and measure distances and angles without any of these key components there would be no dimensions on which to make art. Not only does it give us the space, but the patterns that are created by math can be put into a visual form such as the tessellations. Imagine a line then cross this line in the center with another one, without even realizing it you have used math to create art you had the creativity to imagine the cross and then used knowledge of mathematics to create it.