Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral which is made up of quarter circles. Watch this inspirational video.
Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles […]
We know birds come from eggs.
You can make many birds from the 9 puzzle pieces of the Magic Tangram Egg.
Break the egg and re-assemble the 9 pieces to hatch one of many varieties of birds.
Draw a circle with radius […]
Accurately copy the following patterns and vary them to make your own designs.
Draw two base lines and mark the same number of points at equal distances along each line. Join […]
a. Draw 2 circles with equal radii, intersecting at C, so that each goes through the centre of the other.
b. Draw a third circle of the same radius with centre C.
c. Draw 4 more circles with centres on the circle centre A and passing through A.
These straight lines form a family and the curves that you see, called envelopes, are tangent to each line in the family.
Draw two base lines and mark the same number of points at equal distances along each line. Join the outermost point on one base […]
Describe the different symmetries. Draw the picture yourself. Draw your own designs using this idea. Can you explain how this 2-dimensional picture appears to show a 3-dimensional object?
You could use paperclip […]
1a) Double click on the picture above to start the movie showing how to draw a circle using the paperclip compass.
1b) Draw 2 circles of the same radius with centres A and B so that each circle goes through the centre of the […]
Draw a circle and mark 24 points equally spaced around the circumference. To do this, draw a circle and mark the centre, and mark your first point on […]
Cardioid technology is used in microphones and speakers. Cardioids appear in the motion of planets and in many other ways. See this YouTube video.
To draw a cardioid, first draw a circle, then carefully mark 36 points around the circle at 10 degree intervals and number the points n = 0 […]
b) Choose a small distance d, mark this distance along the edge of the rectangle and draw a straight line from one vertex of the rectangle to this point as in Step 1.
c) Mark the distance d along the next edge and […]