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-rw-r--r--index.html68
1 files changed, 46 insertions, 22 deletions
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@@ -68,23 +68,46 @@
<section>
<!-- Mit zwei browsern visualisieren (tiling!) -->
- <h3>Umfang des Koch Fraktals</h3>
- <div class="fragment fade-right" style="float: left;">
- <p>Anzahl der Linien:</p>
- <p>\[ N_n = N_{n-1} \cdot 4 = 4^n \]</p>
- </div>
- <div class="fragment fade-left" style="float: right;">
- <p>Länge der Linien:</p>
- <p>\[ S_n = \frac{S_{n-1}}{3} = \frac{s}{3^n} \]</p>
- </div>
- <div class="fragment fade-up" style="float: left;">
- <p>Umfang:</p>
- <p>\[ P_n = N_n\cdot S_n = s\cdot\left(\frac{4}{3}\right)^n \]</p>
- </div>
- <div class="fragment fade-up" style="float: right;">
- <p>Limes:</p>
- <p>\[ \lim_{n\to\infty}P_n = \infty \]</p>
- </div>
+ <section>
+ <h3>Umfang des Koch Fraktals</h3>
+ <div class="fragment fade-right" style="float: left;">
+ <p>Anzahl der Linien:</p>
+ <p>\[ N_n = N_{n-1} \cdot 4 = 4^n \]</p>
+ </div>
+ <div class="fragment fade-left" style="float: right;">
+ <p>Länge der Linien:</p>
+ <p>\[ S_n = \frac{S_{n-1}}{3} = \frac{s}{3^n} \]</p>
+ </div>
+ <div data-action="nebenrechnung" class="fragment fade-up" style="float: left;">
+ <p>Umfang:</p>
+ <p>\[ P_n = N_n\cdot S_n = s\cdot\left(\frac{4}{3}\right)^n \]</p>
+ </div>
+ <div class="fragment fade-up" style="float: right;">
+ <p>Grenzwert:</p>
+ <p>\[ \lim_{n\to\infty}P_n = \infty \]</p>
+ </div>
+ <span data-action="gooo" class="fragment" style="display: none !important;"></span>
+ </section>
+ <section>
+ <h3>Nebenrechnung</h3>
+ <p class="fragment fade-up">\[ N_n = N_{n-1} \cdot 4 = 4^n \]</p>
+ <p class="fragment fade-up">\[ S_n = \frac{S_{n-1}}{3} = \frac{s}{3^n} \]</p>
+ <p class="fragment fade-up">
+ \[ P_n = N_n\cdot S_n = 4^n \cdot \frac{s}{3^n} = \frac{s \cdot 4^n}{3^n} = s \cdot
+ \frac{4^n}{3^n} \]
+ </p>
+ <span data-action="umfang-back" class="fragment" style="display: none !important;"></span>
+ </section>
+ </section>
+
+ <section>
+ <h3>Summenzeichen</h3>
+ <p>\[ \sum_{x=1}^{5} x^2 \]</p>
+ <p class="fragment fade-up">\[ = 1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 55 \]</p>
+ </section>
+
+ <section>
+ <h3>Fläche des Koch Fraktals</h3>
</section>
<section>
@@ -98,11 +121,6 @@
</section>
<section>
- <h3>Summenzeichen</h3>
- <h1>\[ \sum_{n=-\infty}^{+\infty} f(x) \]</h1>
- </section>
-
- <section>
<h3>Fläche des Koch Fraktals</h3>
</section>
@@ -116,6 +134,12 @@
<a href="https://en.wikipedia.org/wiki/Koch_snowflake" target="_blank">
https://en.wikipedia.org/wiki/Koch_snowflake
</a>
+ <a
+ href="http://www.mathematik.uni-ulm.de/stochastik/lehre/ws06_07/seminar_fraktale/daikeler.pdf"
+ target="_blank"
+ >
+ http://www.mathematik.uni-ulm.de/stochastik/lehre/ws06_07/seminar_fraktale/daikeler.pdf
+ </a>
</section>
</div>
</div>