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James from Wilson's School agreed that both Alison and Charlie were right:Īlison's theory relates to the diagram because each point has to join every other point once, so if we consider a 10 pointed mystic rose, the first point connects to all the other 9 points, the second joins up with 8 points (because it's all ready joined with the first), etc, etc.Ĭharlie's method relates to the diagram in the way that there are 10 points around the circle, and each one must be connected with a line to the other 9. Lucie from Munich came to the same conclusion. The advantage for Charlie is the formula is a lot quicker to do but Alison's method is more obvious. e.g 7+6+5+4+3+2+1īoth Alison and Charlie are right with their calculations.Īlison would work out other mystic roses by starting with (n-1) lines and then decrease by 1 each time and adding them up. I worked out that every number of lines that come up at the same time decreases by one each time. I discovered that the first set of lines that you do will have 1 less than the amount of points in the mystic rose and then you just keep on taking away one.
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On a 6 point mystic rose, you would need to add 5, 4, 3, 2 and 1 to make how many lines there are.Ħ+5+4+3+2+1 for a 7 point one, and so on. I found out that the first point connects to all of the points, then the rest of the points went down 1 until there is none to connect. Several students from Orchard Junior School noticed how the mystic rose was being constructed: