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21 Cards in this Set
- Front
- Back
Ishango Bone (20k yrs ago) |
Counting started Unified series of unified lines cut into bone |
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Programma 101 (1965) |
First personal desktop computer |
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Apollo 11 (1969) |
First landing of man on the moon |
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GPS (1989) |
Benefit military at first |
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1. Distance between u and each of these satellites 2. Location of atleast 3 satellites above you |
Calculation of GPS |
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1. Geometric patterns 2. Wave patterns 3. Patterns of movement 4. Fractals |
Patterns |
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Fractals |
Mathematical formula of a pattern |
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Benoit Mandelbrot |
Father of fractals |
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1. Flower petals 2. Honeycomb 3. The sunflower 4. Snowflakes 5. Snail's shell |
Fibonacci patterns examples |
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34 - clockwise 21 - counter clockwise |
Sunflower fibonacci number |
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Mathematics |
Formal system of thought for recognizing, classifying, and exploiting patterns |
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Topology |
Study of properties of shapes that stay the same after continuous deformation |
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Cowlicks |
Example of topology that Persists even after stretching, bending, twisting |
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1. Organize patterns, regularities, and irregularities 2. Pythagoras proclaimes that nature was numbers 3. To be able to predict 4. Help us to forecast weather conditions 5. Help us to Control epidemics 6. Provide tools for calculations 7. Provide new questions to think about |
Purposes of mathematics |
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Fibonacci sequence |
Sequence beginning with 1,each subsequent number is the sum of the two proceding numbers |
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1. Fibonacci in sunflowers 2. Fibonacci in pineapples 3. Fibonacci in plants 4. Fibonacci numbers in nature 5. Fibonacci in animals |
Examples of Fibonacci sequence found in nature |
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Golden ratio (1.618033...) -aka Golden mean, divine proportion, golden proportion |
-known by many other names such as... -Represented by Greek letter Phi -defined by Greek mathematician Euclid in 300 BC |
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Base = 1 Height = √phi Slant height = Phi |
Great pyramid of Giza |
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The Parthenon |
The exterior dimensions form a Golden Ratio |
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1. With a desire to know the truth 2. With trial and error |
How is mathematics done? |
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1. Pure and applied mathematicians 2. Natural scientists 3. practically everyone |
Who uses mathematics? |