Tag: Maths

I have created tessellations that are regular, semi-irregular and irregular. Creating an irregular tessellation was most difficult for me because I didn’t know what shape to use and how I should connect it to other shapes to create a tessellation.

The difference between regular, semi-irregular and irregular tessellations is that they all have rules. Neither has to have a gap between the shapes.

Vocabulary:

Regular tessellations contain regular polygons(all sides are the same number and all vertices the same angle) that have exactly the same faces, vertices and size

Semi-irregular tessellations contain combinations of shapes that have their internal angles(vertices) add up to 360 degrees

Irregular tessellations contain irregular polygons(either all sides and vertices not equal, sides not equal, vertices not equal) that fit together perfectly like a puzzle

I have created a tessellation using 6-sided polygons – hexagons. I created the tessellation to look like a honeycomb or a bee’s hive.

Regular tessellations are patterns using polygons. You can only make regular tessellations with regular polygons because the internal angles(vertexes) of the polygon have to add up to 360.

For example, squares tessellate because one of their internal angles(which is 90 degrees) can multiply by 4 to make 360 degrees.

Vocabulary:

Tessellate: meaning to tile a surface/make pattern

Regular polygon: shape that has all sides the same length and all angles are the same measure(number) ex. square

Tessellations: filling a space with a repeating pattern of identical shapes

How do you think tessellations help in our everyday lives?

 

I solved 4 advanced Tangram puzzles!

To describe the pictures using math vocab:

The football picture(top left) used reflection symmetry for the football, because the red and blue isosceles triangles have exactly the same angles, and together makes a square. The arms and legs of the picture are made up of shapes that have acute angles.

The wolf picture(top right) is using shapes with their vertices pointing to the top left, which is what the wolf is doing. The head(red, green, blue shapes) and the torso(pink triangle) look like the tail of the wolf(rhombus), but on a bigger scale(proportional/corresponding area). The shapes of the wolf look slanted to the left, like a rhombus(tail of wolf).

The Sydney Opera House(bottom left) uses most of the 3-sided polygons with their vertices pointing upward, like a castle or mountain.

The scorpion picture(bottom right) uses reflection symmetry with two isosceles triangles(blue and pink) to make another larger sized isosceles. The red triangle in-between the smaller blue triangle and the rhombus looks similar to the larger sized isosceles polygon(proportional/corresponding area. They also both have vertices pointing upwards.

How would you describe these images?

Please leave a positive comment down below.

 

I have created 4 Tangram pictures using 7 different geometric shapes.

Did you know that the Tangram was originated in China? 

The 1st picture I made was a cake(top left), it was not very difficult to solve.

The 2nd picture I made was a swan(top right). It was slightly challenging, but it made me think deeper. The 3rd picture is a star(bottom left). This intrigued me that it was not a ‘perfect’ one, so I decided to solve it. The 4th picture is of Washington(bottom right). I chose it because I’m thinking that most people would assume it would be the easiest to solve, so I tried to solve it. I was completely wrong, it was actually the second easiest one in my opinion! The star was the most difficult for me.

My favorite picture to make was the star, because it is one of my favorite shapes.

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