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Exam (elaborations)

MAT 152 - P1

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Exam of 4 pages for the course MATH at MATH (MAT 152 - P1)

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  • August 29, 2024
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  • 2024/2025
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MAT 152 - P1
is the science of structure, order, and relation that has evolved from elemental practices of
counting, measuring, and describing the shapes of objects. - ANS-Mathematics

Since the _____, mathematics has been an indispensable adjunct to the physical sciences and
technology, and in more recent times it has assumed a similar role in the quantitative aspects of
the life sciences. - ANS-17th century

are visible regularities of form found in the natural world. These patterns recur in different
contexts and can sometimes be modelled mathematically. - ANS-Patterns in nature

include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. -
ANS-Natural patterns

WHAT ARE THE MATH PATTERNS IN NATURE - ANS-- Fractal
- Spiral
- Voronoi
- Iteration

is a detailed pattern that looks similar at any scale and repeats itself overtime. - ANS-Fractal

EXAMPLES: snowflakes, trees branching, lightning, and ferns - ANS-Fractal

is a curved pattern that focuses on a center point and a series of circular shapes that revolve
around it. - ANS-Spiral

EXAMPLES: pine cones, some shells, pineapples, and hurricanes - ANS-Spiral

pattern provides clues to nature's tendency to favor efficiency: the nearest neighbor, shortest
path, and tightest fit. - ANS-Voronoi

A Voronoi diagram is sometimes also known as a _____. - ANS-Dirichlet tessellation

Voronoi diagrams were considered as early at _____ by _____ and were used by Dirichlet
(1850) in the investigation of positive quadratic forms. - ANS-1644 René Descartes

is the process of infinitely repeating pattern. - ANS-Iteration

The Fibonacci sequence named after the Italian mathematician _____ , who in1202 introduced
the sequence. - ANS-Leonardo Fibonacci of Pisa

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