Definition:Penrose Tiles/Dart
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Definition
The Penrose dart is the smaller of the two Penrose tiles.
Two of its opposite internal angles are of $36 \degrees$, one is of $72 \degrees$, and the other is of $216 \degrees$.
The $72 \degrees$ vertex and the opposite $216 \degrees$ vertex are marked to differentiate them from the other two vertices, and so as to match the opposite $72 \degrees$ vertices of the Penrose kite.
Also see
- Results about the Penrose tiles can be found here.
Source of Name
This entry was named for Roger Penrose.
Historical Note
The Penrose tiles were invented by Roger Penrose in $1974$.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): dart
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Penrose tiles