An arrangement of closed shapes that covers a surface with no overlaps and no gaps.
What is a tessellation?
100
The branch of mathematics, which when speaking this way, will explain that there is no difference between a doughnut and a mug.
What is topology?
100
My interior angle measures add up to 180 degrees.
What is a triangle?
100
A 3-dimensional figure with only one side and one edge, named for a German mathematician.
What is a mobius strip?
200
My interior angles add up to 540 degrees.
What is a pentagon?
200
The artist known for his work with tessellations.
Who is M.C. Escher?
200
Unlike an isometric transformation (translations, reflections, and rotations), in a topological transformation, these two properties may change.
What is a figure's size and shape?
200
The name of the polygon with the fewest possible number of sides and interior angles.
What is a triangle?
200
A point where the corners of tessellation tiles meet.
What is a vertex point?
300
My angle measures more than 0 degrees but less than 90 degrees
What is an acute angle?
300
The formal name for a "slide" in geometry when creating an image of a figure.
What is a transformation?
300
A geometric shape can be classified according to this, which is the number of holes it has.
What is its genus?
300
Any polygon with a total interior angle measure of 1,080 degrees.
What is an octagon?
300
A network is a set of points, also called these, which are connected by segments, or paths.
What are nodes?
400
Three of my four angles measure 90 degrees, 78 degrees, and 162 degrees. That leaves this for my 4th angle measure
What is 30 degrees?
400
The flipping of a figure over a line to create a mirror image of the original figure
What is a reflection?
400
The genus of the capital letter B.
What is 2?
400
Any two figures with the same number of sides, same measure of side lengths, and same interior angle measures
What are congruent polygons?
400
A network is considered this if you can draw it without lifting your pencil or pen and without going over the same path twice.
What is traceable?
500
The general rule for finding the total interior angle measure of any regular polygon
What is 180 degrees x (the number of sides minus 2)
500
The movement of a figure around a fixed point or axis (a turn).
What is a rotation?
500
In topology, the number of holes that an object has and the relative position of points are two properties that remain the same after this has occurred.
What is a topographical transformation?
500
The total angle measure of this 6-sided regular polygon is 720 degrees.
What is a hexagon?
500
The mathematician who first worked with the topology of networks.