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Math In The Modern World > Tessellations And Fractals > Flashcards

Tessellations And Fractals Flashcards

1
Q

This is created when a shape is repeated covering a plane without any gaps or overlaps

A

Tessellations

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2
Q

A pattern covering the plane by
fitting together replicas of the
same basic shape

A

Tessellation

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3
Q

Father of tessellation

A

Maurits Cornelis Escher

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4
Q

He elaborated tessellation as mathematical but artistic

A

Maurits Cornelis Escher

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5
Q

In geometrical terminology, a _____ is the pattern resulting from
the arrangement of regular polygons to cover a plane without any gap or overlapping. The patterns are usually repeating.

A

Tessellation

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6
Q

Three types of tessellations

A

•Regular
•Semi regular
•Demi-regular

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7
Q

This type of tessellation is made up of congruent sides and angles

A

Regular tessellation

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8
Q

polygons with congruent sides and angles

A

Regular polygon

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9
Q

What are the properties of a regular tessellation

A
  1. The tessellation must tile and fit with no overlapping/gaps
  2. The tiles must be regular polygons and all the same
  3. Each vertex must look the same

Pati kamo na guys di mani gami guro mag gwa sa exam

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10
Q

regular tessellations of two or more different polygons around a
vertex and each vertex has the same arrangement of polygons

A

Semi regular (Archimedean)

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11
Q

edge-to-edge tessellation, but the order or arrangement of polygon at each vertex is not the same
Cannot be named

A

Demi-regular tessellation

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12
Q

Mathematical constructs characterized by self-similarity

A

Fractals

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13
Q

Fractals are about four things:

A

• Fractions
• Functions
• Graphs
• Imaginary numbers

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14
Q

The latin wird for broken is ____

A

Fractus

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15
Q

They tend to appear nearly the same at different levels

A

Fractals

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16
Q

This is a discipline named and popularized by Benoit Mandelbrot

A

Fractal Geometry

17
Q

What book did Mandelbrot write in 1197 na nag gwa sa module ni sir pake ko man sa iban

A

The Fractal Geometry of Nature

18
Q

What are the two popular fractals

A

Sierpinski Triangle
Koch Snowflake

19
Q

Repeating of a process over and over

A

Iteration

20
Q

Following a rule repeatedly

A

Recursion

21
Q

Distance between points

A

Scaling factor

22
Q

Characteristics of a Fractal

A
  1. Self-similar
  2. Fractional Dimension
23
Q

as one examines finer and finer details of the object, the magnified area is similar to the original
but is not identical to it

A

Self-similar

24
Q

a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly
speaking, a fractal pattern) changes with the scale at which it is measured.

A

Fractional Dimension

Math In The Modern World (4 decks)

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