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Results tagged with geometry
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user 81942
A puzzle related to shapes, geometric objects (polygons, circles, solids, etc.) of any number of dimensions, the relative position of figures, and the properties of space. Use with [mathematics]
2
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Orchard planting problem of 5 points per circle [closed]
In General orchard planting problem for circles , the problem of 4 points per circle has been studied.
The problem here is that what is the maximum number of 5-point circles for a configuration of n p …
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Orchard planting problem of 5 points per circle
Add an equivalent result of Florian F. (one infinity point) for 13 points with 15 5-point circles
(where black point and black dash circles are the extra point and 3 extra 5-point circles)
And simila …
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1
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General orchard planting problem for circles
For n=9, there're four groups of different solutions with 14 circles:
One candidate is infinity point + (0,0), (1,0), (0.5, 1.3228756555322952952508078768196302129), (-0.25,0.6614378277661476476254039 …
- 191
1
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Plant 9 trees in 10 rows of 3
He has showed that there're no geometry solution for the last one. … We could find the trajectory doesn't intersect with line A3 so that it is not a valid geometry solution too.
So the 1st combination is the unique valid solution under projective transformation. …
- 191
1
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General orchard planting problem for circles
For n=11, there're at most 30 circles. One group of the solution for 30 circles are find
real number a and t so that real number
$b^2=\frac{((-4*a^3 + 20*a^2 - 32*a + 16)*t^2 + (2*a^3 - 10*a^2 + 16*a …
- 191
3
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General orchard planting problem for circles
14 trees with 73 circles (remove B or I to form a solution for 13 trees with 53 circles)
1:A=(-1.2208577248401677090604559983157963834, -3.1468480523080114886881271169977579250)
2:B=(-1.94782331242210 …
- 191