Geometry Scavenger Hunt
Examples
The Lumar Building on the corner of
Sixth and Central in Holland.
The building is shown in three
point perspective. Two vanishing
points can be seen where the
blue and red orthogonal lines
intersect to the left and right of
the building. The other (where
the green orthogonals intersect)
occurs above this slide. Notice
that three-point perspective gives
a bit of distorted picture of the
building.
Tile floor in the First United Methodist
Church on Tenth Street in Holland
The tiles form a non-regular tessellation of a rhombus. There are
two different vertex arrangements. One is labeled with a red dot,
where three rhombi come together, and the other with a yellow dot,
where six rhombi come together. Also notice that you can see
many different shapes in this tessellation. For example there is a
six-pointed star, cubes, and a couple of different size hexagons.
Can you see any other shapes?
A stained glass window at the First United
Methodist Church on Tenth Street in Holland.
There are a number of rectangles in the window that are
approximately golden. The ratio of the long side to the short side
of the three outlined are 1.60, 1.59, and 1.67. The golden ratio is
approximately 1.62.
A daylily outside my home in Park Township
This daylily has three lines of symmetry. This is also called D3
symmetry. An object with three lines of symmetry, like this flower, also
has three rotations of symmetry.
In addition, the photo is cropped so that it is a golden rectangle.