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Wassily Kandinsky
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Wassily Kandinsky was born in Moscow in 1866. He grew up in a
bourgois, cultured family and learned to play the piano and the
cello. In 1886 he began to study law and economics at the
Moscow University. After passing his exams he started a teaching
career at the Moscow Faculty of Law. He had many interests and
apparently a great gift to teach himself different skills.
In 1895 Kandinsky saw an exhibition of French impressionists in Moscow with paintings of
Monet and others. He was, at first, confused and would later describe how upset he was
about Monet's painting The haystack. He thought that the painter had no right to paint
things in a way that made it difficult to recognize the subject.
In 1896, at the age of thirty, he decided to start a new career as an artist and went to
Munich in Southern Germany. He enrolled at the Academy of Fine Arts for four years until
1900.
Kandinsky became the theorist of abstract painting. In 1910 he created his first abstract
work - a watercolor. In 1912 he published a book on the theory of abstraction.
In 1922 he came back to Germany to teach and work at the Bauhaus in Dessau until
1933.
When the German Nazis came to power in 1933, all modern art was considered as
entartet (degenerated art) and the Bauhaus was closed in 1933. Kandinsky's works were
removed from German museums and confiscated.
The artist's next destination was Neuiily near Paris where he remained until his death in
1944.
Point
A point is a location. It
has no size. It is named
with a capital letter.
A
Line
Segment
Ray
Plane
A line segment
has two
endpoints. The
segment does not
extend beyond
those endpoints.
A ray has one
endpoint and
extends forever
in the opposite
direction.
A flat surface that
extends in all
directions. It has no
thickness
A line extends
forever in both
directions.
•
Intersect
Perpendicular
If lines in a plane
cross at a point,
they intersect.
• •
Parallel
Skew Lines
If lines intersect at If lines in the same
Lie in different
right angles, they
planes they do not
plane do not
are perpendicular. intersect no matter intersect and are not
parallel.
how far they are
extended, they are
parallel.
Wassily Kandinsky's "Composition VIII"
1923; Oil on canvas; Solomon R. Guggenheim Museum, New York
An angle is formed by two
rays with the same endpoint.
The rays are the sides
of the angle.
side
The common endpoint is
the vertex.
side
vertex
Wassily Kandinsky – “Composition IX”, 1939
Angles are measured in units called degrees.
A protractor is a tool that measures angles
Two angles are said to be
complementary if they total 90°.
Two angles are said to be
supplementary if they total 180°.
Wassily Kandinsky: "Schwarzer Fleck", 1921
Adjacent angles share a
vertex and a side but have no
interior points in common.
Vertical angles are formed by two
intersecting lines and are opposite
each other. Vertical angles have
equal measure.
Angles with equal measure are called congruent angles.
Black and Violet 1923
• Triangle – A closed figure made
from three line segments.
• Sides with the same length are
congruent sides.
• Equilateral Triangle – A triangle
with three sides of the same
length.
• Isosceles Triangle – A triangle
that has two congruent sides.
• Scalene Triangle – A triangle that
has no congruent sides.
Yellow, Red, Blue
1925; Oil on canvas, 127x200cm; Centre Georges Pompidou, Paris
• In order for three line segments to
create a triangle, the sum of the
two smaller segments must be
greater than the larger segment.
• Acute Triangle – A triangle
with three acute angles
• Right Triangle – A triangle with
exactly one right angle
• Obtuse Triangle – A triangle
with exactly one obtuse angle
Composition X
1939 (160 Kb); Oil on canvas, 130 x 195 cm (51 1/8 x 76 3/4 in); Kunstsammlung Nordrhein-Westfalen, Dusseldorf
• Polygon – a closed figure made of line
segments
• Regular polygon – a polygon in which all
sides and all angles have the same
measure
• Irregular polygon – a polygon with sides
or angles that are not all congruent
• Quadrilateral – a four sided figure
• Pentagon – a five sided figure
• Hexagon – a six sided figure
• Octagon – an eight sided figure
• Decagon – a ten sided figure
Regular Polygon
Irregular Polygon
On White II
1923; Oil on canvas, 105 x 98cm;
Centre Georges Pompidou, Paris
• Trapezoid – a quadrilateral with
exactly two sides parallel
• Parallelogram – a quadrilateral with
opposite sides parallel and opposite
sides the same length
• Rhombus – a parallelogram with all
sides the same length, and opposite
sides parallel
• Rectangle – a parallelogram with
opposite sides the same length and all
angles 90°
• Square – A square is both a rhombus
and a rectangle. It has all sides the
same length, and all angles 90°
Contrasting Sounds
1924; Oil on cardboard,
70x49.5cm; Centre Georges
Pompidou, Paris
• Congruent Polygons have the
same size and shape.

means “is congruent to”
• A figure that can be folded into
congruent halves has line
symmetry.
• A reflection is the mirror image of
a figure that has been “flipped”
over a line. An image and its
reflection are always congruent..
Wassily Kandinsky
Title Unknown
• Rotation – the image of a figure that
has been turned, as if it were on a
wheel
• Clockwise – when the top of a figure
is turned to the right
• Counterclockwise – when the top of
a figure is turned to the left
• Rotational symmetry – when a figure
can be rotated less than full circle,
and the rotation exactly matches the
original image
Artist: Wassily Kandinsky Title: Farbstudie quadrate mit konzentrischen ringen Image Size: 20 x 30 in
• Circle – Set of points in a plane that are all the
same distance from a given point called the
center,
• Radius – segment that connects the center of
a circle to the circle.
• Diameter – segment that passes through the
center of a circleand has both endpoints on the
circle
• Central angle – angle with its vertex at the
center of a circle.
• Chord – segment that has both
endpoints on the circle.
• Arc – a part of a circle
• Semicircle – half of a circle
Circle Graph
• Circle Graph (pie chart) – a graph of data in
which the circle represent the whole and
each wedge is part of the whole. The total
must equal 100%
• Compass – A geometric tool
used to construct a circle or part
of a circle.
• Midpoint – point that divides a
segment into two equal lengths.
• Segment bisector – a line,
segment, or ray that goes
through the midpoint of a
segment.
• Perpendicular lines – lines that
intersect to form right angles
• Perpendicular bisector – a
segment bisector that is
perpendicular to the segment.