Definition:Penrose Tiles/Dart

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

• Definition:Penrose Kite

• 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 (R. Penrose, 1974)