The rose window of the Notre Dame Cathedral in Paris exhibits what type of symmetry, characterized by equal angles around a central point?

(a)  

In Islamic geometric art, what is the line called that divides a motif into two mirrored halves?

(a)  

The point about which a windmill's blades rotate is called the (a)   .

When a square is rotated 90°, 180°, 270°, or 360° about its center, each turn is measured in terms of the (a)   .

When a figure is shifted horizontally or vertically without changing its orientation, what transformation is performed?

(a)  

A kaleidoscope produces repeated patterns mainly through what transformation?

(a)  

A scaling transformation that enlarges or reduces a figure with respect to a fixed point is called (a)   .

When a figure is 'flipped' across an axis to produce a mirror image, what transformation occurs?

(a)  

A combination of translation followed by reflection produces what transformation often seen in friezes?

(a)  

Which polygon is commonly seen in honeycomb patterns because it tessellates the plane perfectly?

(a)  

In a tessellation of equilateral triangles, how many triangles meet at each vertex? (symbol)

(a)  

Creating a tessellation by repeatedly sliding a figure across the plane applies what transformation?

(a)  

In M.C. Escher's lizard tessellations, each lizard is obtained from the next using what transformation that involves turning?

(a)  

A tessellation made by reflecting a motif over both horizontal and vertical axes makes use of what kind of symmetry?

(a)  

When Escher modified basic geometric tiles into recognizable animals while maintaining tessellation, he was applying what artistic-mathematical method? (with -)

(a)  

Escher's tessellation of fish swimming in opposite directions illustrates what two geometric transformations?

(a)  

The mathematical ratio often denoted by the Greek letter φ (phi) and approximately equal to 1.618 is called the (a)   .

A rectangle whose side lengths are in the golden ratio is called a (a)   .

A logarithmic spiral that grows outward with each quarter turn by a factor of the golden ratio is called the (a)   .

The central angle of about 137.5° that governs leaf arrangements in plants is known as the (a)   .

In the Parthenon's façade, the harmonious proportions are attributed to the use of the (a)   .

The sequence beginning 0, 1, 1, 2, 3, 5, 8, … where each term is the sum of the two preceding terms is called the (a)   .

The mathematician who introduced this sequence to Europe through his book Liber Abaci was (a)   .

The Fibonacci sequence originated from a problem about the growth of what animals?

(a)  

The ratio of successive Fibonacci numbers approximates what mathematical constant?

(a)  

The Fibonacci sequence was historically used in Europe to model problems in (a)   trade.

The arrangement of seeds in a sunflower follows what mathematical sequence?

(a)  

The spiral pattern of a nautilus shell is based on what sequence?

(a)  

Pinecones show spirals that correspond to numbers from the (a)   sequence.

The branching of trees and stems in plants is often governed by what sequence?

(a)  

In art, Salvador Dalí's painting The Sacrament of the Last Supper uses proportions based on the (a)   sequence.

The mathematical link between Fibonacci numbers and the golden ratio is expressed by the formula: φ = (1 + √5) / 2. This φ is called the (a)   .

The overlap of Fibonacci spirals in sunflowers leads to angle spacing known as the (a)   .

Self-similar, infinitely complex patterns created by repeating a process are called (a)   .

The branching pattern of trees and blood vessels are examples of (a)   in nature.

The famous set discovered by Benoit Mandelbrot is called the (a)   set.

The repeating triangular pattern found in snowflakes is an example of (a)   .

A computer-generated geometric shape that shows infinite detail when zoomed in is called a (a)   .