Create your own Christmas tree circle picture, writing out the instructions as you draw it.How would the picture change if we added 2 to each colour number (wrapping the numbers round so 6 becomes 1, and 7 becomes 2?.How would the picture change if we changed all the colour numbers 1 and 2 to 3?.How would the picture change if we swapped all the shape number 1s for shape number 5s and vice versa?.Once you use numbers to represent the other parts of the instructions like this you can start to manipulate the picture in other interesting ways. It would still mean exactly the same thing though (we just need a key to keep track of what the numbers for shapes and colours mean. Our above instruction would now be written We can also use numbers for the colours (eg 1 for red, 2 for blue, 3 for yellow, 4 for light green and 5 for dark green). Suppose 1 is used to represent a circle, 4 a square and 5 a star. Of course the shapes could also be represented by numbers too. When you draw a picture in a vector drawing package and move the whole thing around or expand or shrink it, that is all it is doing behind the scenes. If you only have a small piece of paper, halve the numbers and you will get a picture half the size. Or perhaps you’ve changed your mind and you want it to be 3 times the size, just multiply by 3 instead. Just multiply every number in every instruction by 2 before you start to draw. Add 1 to the second number of each instruction, as it gives the position down the page to draw.įinally perhaps you want a drawing twice the size. Perhaps you want to move the whole picture 1cm down the page. Just add 5 to the first number of every instruction before you start to draw as those numbers give the position across the page to draw. Suppose you want to position the whole shape 5cm further across the page.
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The instructions that tell you how to draw a program are just a simple program, but one where you can now change the numbers in consistent ways to get different effects. Vector Graphics give you lots of flexibility, if you can do a little bit of maths…not surprisingly called vector maths. Solution Sheet: Vector drawing puzzle – Circle Christmas Tree Solution.Puzzle Sheet: Vector drawing puzzle – Circle Christmas Tree.So for example Circle, Light Green, 1, 18, 3 In these puzzles the shape, colour, position of the bounding box and size of the square are given. These are based on positions that give the top-left corner of the bounding box positions, and all bounding boxes are squares so only a single dimension is given. Here are some more Vector Drawing Puzzle Picture sheets and solutions that you can download. These collage based puzzles give pictures based on Easter/ Spring Themes. These collage based puzzles give pictures about Ancient Egypt. There are more christmas computing ideas here. Solution Sheet: Vector drawing puzzle – Christmas Tree Solution.Puzzle Sheet: Vector drawing puzzle – Christmas Tree.Here is a Vector Drawing Puzzle Picture sheet and solution based on the above that you can download. For example to draw the image twice as big, first multiply all the numbers in the instructions by 2. To scale a vector image (make a bigger or smaller version), multiply all numbers in the instructions with the scaling factor. Having drawn a picture, draw it again twice as large, by scaling the vector drawing instructions by a factor of 2. One of the advantages of the vector image representation is that you can create larger or smaller versions that do not lose accuracy. These puzzles demonstrate a practical use of mathematical scaling. For example, for the Christmas tree we could have first created instructions for an undecorated Christmas tree, allowing it to be used for different trees with different decorations. It allows pictures to be drawn using decomposition, breaking the picture down hierarchically into components.
This form of abstraction is a powerful feature of vector images. Once you have instructions like those above you can package them as a new instruction called ChristmasTree to be used in more complex pictures. Triangles in this puzzle are isosceles triangles with the base at the bottom. The position in the above drawing is the bottom, left corner of its bounding box. The size given for each shape is the size of its bounding box. The bounding box of a shape is the smallest rectangle the shape fits in. If you were to draw the circles first then they would be covered by the later triangles. Notice that the order the instructions are followed matters. Use strong colours so the colours overwrite those underneath. If drawing it may be easier to lightly draw the bounding box for each shape first, then the shape outline, then colour it in. Also see our Vector dot-to-dot puzzles here.įor example the following vector drawing instructions draw the picture of a Christmas tree above.
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