The figure shows a hexagon
A1A2A3A4A5A6
with equilateral triangles
A1A2B1,... A6A1B6.of
centers O1, O2, ..., O6. Q1, Q2, ...,Q6 are the centers of equilateral
triangles B1B2C1, ..., B6B1C6. O14, O25, O36, Q14, Q25, and Q36
are the midpoints of O1O4, O2O5, O3O6, Q1Q4, Q2Q5, and Q3Q6,
respectively. Prove that (1) Triangles O14O25O36 and Q14Q25Q36
are equilateral; (2) O14, O25, and O36 are the midpoints of
Q14Q36, Q14Q25, and Q25Q36, respectively.
Geometric Art
using Mobile Apps
Geometric art is a form of art based on
the use and application of geometric
figures. A geometric figure is any set
or combination of points, lines,
surfaces and solids.
A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.
See
also:
Original problem
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