Create an Escher-Like Tiling That Uses Only Translations and Reflections

question 43

Short Answer

Create an Escher-like tiling that uses only translations and reflections.

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Definitions:

\(n ^ { 2 }\)

A notation denoting a number "n" raised to the power of 2, representing the square of n.

\(n ^ { 3 }\)

Refers to cubing a number, which is raising a number to the power of three or multiplying the number by itself twice.

\(8 !\)

The factorial of 8, which is the product of all positive integers less than or equal to 8, calculated as \(8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1\).

\(11 !\)

Denotes the factorial of 11, which is the product of all positive integers from 1 to 11, calculated as \(11! = 11 \times 10 \times 9 \times ... \times 1\).