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Crop Circles. Be able to use a pair of compasses to make an accurate construction. What is a crop circle?. Crop circles are patterns created by the flattening of crops such as wheat, barley, rye, or corn. The term crop circle entered the Oxford Dictionary in 1990.
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Crop Circles Be able to use a pair of compasses to make an accurate construction
What is a crop circle? • Crop circles are patterns created by the flattening of crops such as wheat, barley, rye, or corn. The term crop circle entered the Oxford Dictionary in 1990. • Self-described pranksters Doug Bower and Dave Chorley claimed to have started the crop circle phenomenon in 1978. Their work is continued by other groups of crop circle makers such as the circle-makers arts collective founded by John Lundberg in the early 1990s. Source: Wikki
What is a crop circle? • It has been claimed that evidence suggesting these formations are caused by some force other than humans is found in hundreds of photographs of bent or warped growth nodes. While it has been suggested that ball lightning and vortices in the wind might rarely produce isolated indentations in crops, neither is capable of the complex and often delicate patterns seen in more elaborate crop circles. Source: Wikki
How Do You Make a Crop Circle? • Crop circles appear to be very intricate formations, with many geometric shapes linked in sophisticated patterns. But the basics of crop-circle creation and the tools involved are actually fairly simple. • In general, circlemakers follow the following steps: • Choose a location. • Create a diagram of the design (although some circlemakers decide to come up with an idea spontaneously when they arrive at their intended site). • Once they arrive at the field, they use ropes and poles to measure out the circle. • One circlemaker stands in the middle of the proposed circle and turns on one foot while pushing the crop down with the other foot to make a center. • The team makes the radius of the circle using a long piece of rope tied at both ends to an approximately 4-foot-long (1.2-meter) board called a stalk stomper (a garden roller can also be used). One member of the team stands at the center of the circle while the other walks around the edge of the circle, putting one foot in the middle of the board to stomp down the circle's outline.
A Math Forum Web UnitSuzanne Alejandre's Designs With Circles In the Islamic culture the circle is a unit of measure. The circle is the basis for the organization of space. It is a starting point in architecture, poetry, music and even calligraphy. From a circle it is possible to construct many regular polygons. The decimal system we use did not appear as a standard until the eighth century A.D. Before exact units of measurement were used, the scale from one building's plan was used to create another building by referring to the geometric patterns. Egyptian rope-stretchers and temple surveyors developed a reproducible method by using pegs and cords to trace circles and straight lines on sand. They established geometric procedures for generating precise and accurate constructions. Perfect interrelationships between the parts and the whole of the composition were attained irrespective of mode, form, or scale of expression. A universality was achieved in the Islamic world, consistent with the Islamic belief that all creations are harmoniously interrelated. • Draw a circle with a compass. • Without changing the opening (radius) on the compass, draw another circle whose center is on the rim of the first circle. • If you connect the centers and one of the points where the circles cross, you get an equilateral triangle. • Why do all the sides have the same length? • Again without changing the radius, draw another circle whose center is one of the intersection points. • Keep drawing new circles at the new intersection points. • Does this design have rotation symmetry? By what angles? Does this design have reflection symmetry? Across what lines? • Keep drawing more circles at the intersection points until you have a pattern that covers most of the page. • What kinds of symmetry does this pattern have, assuming it goes on forever? • Can you find the pattern of triangles in the circle pattern? You will have to imagine or draw in the lines. • How Do You Make a Crop Circle? • Crop circles appear to be very intricate formations, with many geometric shapes linked in sophisticated patterns. But the basics of crop-circle creation and the tools involved are actually fairly simple. • In general, circlemakers follow the following steps: • Choose a location. • Create a diagram of the design (although some circlemakers decide to come up with an idea spontaneously when they arrive at their intended site). • Once they arrive at the field, they use ropes and poles to measure out the circle. • One circlemaker stands in the middle of the proposed circle and turns on one foot while pushing the crop down with the other foot to make a center. • The team makes the radius of the circle using a long piece of rope tied at both ends to an approximately 4-foot-long (1.2-meter) board called a stalk stomper (a garden roller can also be used). One member of the team stands at the center of the circle while the other walks around the edge of the circle, putting one foot in the middle of the board to stomp down the circle's outline.
A Math Forum Web UnitSuzanne Alejandre's Designs With Circles In the Islamic culture the circle is a unit of measure. The circle is the basis for the organization of space. It is a starting point in architecture, poetry, music and even calligraphy. From a circle it is possible to construct many regular polygons. The decimal system we use did not appear as a standard until the eighth century A.D. Before exact units of measurement were used, the scale from one building's plan was used to create another building by referring to the geometric patterns. Egyptian rope-stretchers and temple surveyors developed a reproducible method by using pegs and cords to trace circles and straight lines on sand. They established geometric procedures for generating precise and accurate constructions. Perfect interrelationships between the parts and the whole of the composition were attained irrespective of mode, form, or scale of expression. A universality was achieved in the Islamic world, consistent with the Islamic belief that all creations are harmoniously interrelated. • Draw a circle with a compass. • Without changing the opening (radius) on the compass, draw another circle whose center is on the rim of the first circle. • If you connect the centers and one of the points where the circles cross, you get an equilateral triangle. • Why do all the sides have the same length? • Again without changing the radius, draw another circle whose center is one of the intersection points. • Keep drawing new circles at the new intersection points. • Does this design have rotation symmetry? By what angles? Does this design have reflection symmetry? Across what lines? • Keep drawing more circles at the intersection points until you have a pattern that covers most of the page. • What kinds of symmetry does this pattern have, assuming it goes on forever? • Can you find the pattern of triangles in the circle pattern? You will have to imagine or draw in the lines. • How Do You Make a Crop Circle? • Crop circles appear to be very intricate formations, with many geometric shapes linked in sophisticated patterns. But the basics of crop-circle creation and the tools involved are actually fairly simple. • In general, circlemakers follow the following steps: • Choose a location. • Create a diagram of the design (although some circlemakers decide to come up with an idea spontaneously when they arrive at their intended site). • Once they arrive at the field, they use ropes and poles to measure out the circle. • One circlemaker stands in the middle of the proposed circle and turns on one foot while pushing the crop down with the other foot to make a center. • The team makes the radius of the circle using a long piece of rope tied at both ends to an approximately 4-foot-long (1.2-meter) board called a stalk stomper (a garden roller can also be used). One member of the team stands at the center of the circle while the other walks around the edge of the circle, putting one foot in the middle of the board to stomp down the circle's outline.
Your challenge… Top Teacher Tips for great constructions 1. Keep the pencil sharp. 2. Use a short pencil 3. Once you have set the radius, only handle the plastic parts of the compass If you are struggling, hold the compass still and turn the paper. Assuming that the circles are man-made, the ‘artists’ only use rope to make the circles and planks to flatten the grain. You can use a pair of compasses to create a crop circle on paper. I’m looking to excellent circles and arcs, accuracy and display quality work.
