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Math BRP

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Koizora Chen

on 13 August 2014

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Transcript of Math BRP

Unearthed Questions
1. Is it possible to tile a 4x4 square with four tiles of type 1, four tiles of type 2, four tiles of type 3 and four types of type 4?
Unearthed questions
2. Is there a square or rectangular grid of any size that can be completely tiled with non overlapping type 5 tetromino? Why?
Math BRP
Unearthing the secrets of Skew Tetrominoes

Mathematicians involved

Emmanuelle Hng (7)

Chen Zhuo Lin (9)

Tang Tai Ran (27)

Yang Xinze (35)

1 2 3 4 5
Type 1
Type 2
Type 3
Type 4
Are you talking about me?
Unearthed Questions
3. Classify the types of rectangle that can be tiled solely with tetrominoes of types 1,3 or 5. Provide illustration and explanation.
Type 1
Type 3
Type 5
Research Questions:
1. Can any square be tiled solely by any of the twelve types of pentominoes?
2. Can we form a rectangle with a mix of all the types of tetrominoes?
Unfortunately... the answer is no.
Why not? Look at the presentation below for the answer!
Unlike the L tetromino.
But just like the T tetromino.
Rectangle Rhombus Unable to
form a rec
Types of rec formed by Type 1, 3 or 5

Our project is about tetrominoes... beyond the tetris level.
Have you ever wondered why some tetrominoes just cannot be tiled to form a square?
We'll tell you why...
I am a reptile
Full transcript