Download Cherished Dolls To Make For Fun by Better Homes and Gardens PDF

By Better Homes and Gardens

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Extra info for Cherished Dolls To Make For Fun

Sample text

In fact, it is well-known by scientists that the opposite e ect occurs: the realization of order amid complexity in Nature makes the contemplation and experience of it so touching and awe-inspiring that the e ect is addictive! This is a Great Well-Kept Secret of Science and Mathematics: that the process of understanding deepens and multiplies the mysteries. Fractal geometry allows the ordinary person to take part in this process of wonder, in an authentic and satisfying way. So now that we have that straight, let's start investigating the process by which the image in Figure 4 was drawn.

Thus we wind up plotting a sequence fx0 ; x1 ; x2 ; . g of points in the plane. If we already have a point xn , we get the next point xn+1 by using a coin flip to randomly choose f or g, and then apply that function to xn . For instance, if we choose g, then xn+1 = g(xn ). The points x0 ; x1 ; x2 ; x3 ; x4 computed above have been graphed in Figure 3. The letters f and g have been used to show which function was used to \move" the point xn to the next point xn+1 . Figure 3. 46 So far it doesn't look like much|just a random-looking collection of dots.

Now try an anamorphic drawing yourself. Make a transparent photocopy of the perspective grid in Figure 42, and a paper photocopy of the grid in Figure 43. Place the transparent grid from Figure 42 over a simple image (such as a ve-pointed star or a heart, or perhaps the face of a comic strip character), and use an erasable overhead projector pen to trace the image onto the grid. Then note where the tracing crosses the grid, mark the corresponding points on the rectangular grid from Figure 43, and connect them appropriately to make your anamorphic drawing, using color if you like.

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