# Robinson Triangles

### Some articles on triangles, robinson triangles, robinson, robinson triangle:

The Penrose Tilings - Kite and Dart Tiling (P2)
... Both the kite and dart are composed of two triangles, called Robinson triangles, after 1975 notes by Robinson ... along its axis of symmetry to form a pair of acute Robinson triangles (with angles of 36, 72 and 72 degrees) ... its axis of symmetry to form a pair of obtuse Robinson triangles (with angles of 36, 36 and 108 degrees), which are smaller than the acute triangles ...
Penrose Tiling - Features and Constructions - Inflation and Deflation - Robinson Triangle Decompositions
... method for both P2 and P3 tilings can be described using Robinson triangles of different sizes ... The Robinson triangles arising in P2 tilings (by bisecting kites and darts) are called A-tiles, while those arising in the P3 tilings (by bisecting rhombs) are called B-tiles ... The smaller A-tile, denoted AS, is an obtuse Robinson triangle, while the larger A-tile, AL, is acute in contrast, a smaller B-tile, denoted BS, is an acute Robinson triangle, while the larger B-tile, BL, is obtuse ...
The Penrose Tilings - Rhombus Tiling (P3)
... There are two kinds of tile, both of which can be decomposed into Robinson triangles ... The t rhomb may be bisected along its short diagonal to form a pair of acute Robinson triangles ... The T rhomb may be bisected along its long diagonal to form a pair of obtuse Robinson triangles in contrast to the P2 tiling, these are larger than the ...

### Famous quotes containing the words triangles and/or robinson:

If triangles had a god, they would give him three sides.
—Charles Louis de Secondat Montesquieu (1689–1755)

Poets and kings are but the clerks of Time,
Tiering the same dull webs of discontent,
Clipping the same sad alnage of the years.
—Edwin Arlington Robinson (1869–1935)