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Math BRP

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by

Koizora Chen

on 13 August 2014

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Transcript of Math BRP

Introduction
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?
Solution
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?
Solution
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
Solution
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
Thank
you!

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