Pattern in Nature
Pattern
Random Sequence
Fibonacci and Arithmetic
Geometric
100

Seashells

Spiral

100

A balanced arrangement where one part is a mirror image of another

Symmetry

100

2, 3, 5, 7, 11, 13, ___,

17


100

12 term

144

100

2, 4, 8, 16, ___

32

150

Radio Waves

Waves

150

Curves that wind around a central point, getting closer or farther away

Spiral

150

1, 10, 2, 9, 3, 8, ___

4

150

17 term

1597

150

81, 27, 9, 3, ___

1

200

Frozen or Ice Fractals

Fractals

200

Patterns that repeat at different scales (self-similarity)

Fractals

200

2, 4, 8, 10, 20, 22, 44, ___

46

200

4, 9, 14, 19, ___

24

200

1/2, 1, 2, 4, ___

8

250

Seashores

Meanders

250

Patterns made of repeated shapes with no gaps or overlaps

Tessellations

250

7, 21, 35, 49, 63, __

77

250

−7, −2, 3, 8, ___

13

250

1, –2, 4, –8, ___

16

300

Honeycombs

Tessellations

300

Winding curves or bends, often seen in paths or rivers

Meanders

300

1, 3, 6, 10, 15, 21, ___

28

300

1/2, 3/2, 5/2, 7/2, __

9/2

300

243, 81, 27, 9, ___

3

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