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@ColinTheMathmo @GerardWestendorp
OK, here’s a counterexample with mostly nice numbers.
It wasn’t easy to find because when all numbers are ‘nice’ then the proposed theorem usually holds true 😆 e.g. rhombus, parallelogram, etc.
#geometry #iTeachMath #puzzle #quadrilateral #midpoint #geogebra
#geometry #iTeachMath #puzzle #quadrilateral #midpoint #geogebra
@ColinTheMathmo @GerardWestendorp I thought a simpler problem might help, i.e. https://en.wikipedia.org/wiki/Varignon%27s_theorem
However, I then found some counter-examples showing a small divergence from the desired area. I need to be sure that these aren't rounding errors
#geometry #iTeachMath #puzzle #quadrilateral #midpoint #geogebra
Bilinear interpolation on a quadrilateral using Barycentric coordinates
https://gpuopen.com/learn/bilinear-interpolation-quadrilateral-barycentric-coordinates/
#HackerNews #BilinearInterpolation #BarycentricCoordinates #Quadrilateral #Graphics #Programming #GPUOpen
#quadrilateral : having four sides, and consequently four angles
- Italian: quadrilatero
- Portuguese: quadrilateral
- Spanish: cuadrilátero
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Learn more languages @ https://wordofthehour.org/r/more
#quadrilateral : having four sides, and consequently four angles
- Italian: quadrilatero
- Portuguese: quadrilateral
- Spanish: cuadrilátero
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Try out the Word of The Hour App @ https://wordofthehour.org
#quadrilateral : having four sides, and consequently four angles
- Italian: quadrilatero
- Portuguese: quadrilateral
- Spanish: cuadrilátero
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Fill in missing translation @ https://redd.it/95v7rk