Koch snowflake pdf

What is the reason for their answer? How far apart are any two arbitrary points on the curve? Optional activity : Beginning with the area of the circles on the worksheet area. Is this consistent with the value they obtained by directly calculating the area? Here are more lesson plans from the archive at Michael Frame's Yale University site on fractal geometry. Designing multi-band antennas operating in several frequencies bands.

Several studies have been made to design this kind of antennas by using fractal geometries or adding slots to the radiating elements []. Designing UWB antennas operating in the frequencies bands exceeding MHZ or having a fractional bandwidth of at least 0. The simulation is done by FEKO 6.

R Figure 3: Circular and Koch loops of equal radii [21] A parametric study is based on the variation of the parameters R. The bandwidth dB of the antenna is 1. Figure5: Simulated S11 versus frequency graph of the antenna iteration0 The figure 6 shows the evolution of the total maximum gain of the antenna versus the frequency for some values of the radius R. We observe that the shape of this pattern is nearly similar for the two frequencies. The largest bandwidth of the antenna is 2.

Figure9: Simulated S11 versus frequency graph of the antenna First iteration The figure 10 shows the evolution of the maximum total gain of the antenna versus the frequency for some values of the radius R. We observe also that the gain increases when the R increase. The largest bandwidth of the antenna is MHz 4.

The figure 14 shows the evolution of the gain of the antenna versus the frequency for some values of the radius R. We observe also that in general, the gain increases when the R increases. The largest bandwidth of the antenna is 1. The largest bandwidth of the antenna is 2GHz 3. Figure Simulated S11 versus frequency graph of the antenna Third iteration The figure 18 shows the evolution of the gain of the antenna versus the frequency for some values of the radius R.

Change Language. Related Articles. Table of Contents. Improve Article. Save Article. Like Article. Last Updated : 03 Oct, Python program to print partial Koch Curve. Pull the pen up — no drawing when moving. Move the turtle backward by distance,. Pull the pen down — drawing when moving. To control the closing windows of the turtle. Python program to print complete Koch Curve.