The horizontally oriented blue ellipse in the next image is the isometric projection of 1 unit diameter XY plane circle: It can only be approximated.Ī practical way to construct the isometric image of an 1 unit diameter XY-plane circle in isometric grid is to draw the shown black ellipse and scale it to 1/sqrt(2) = 70,7% It's not exact, but probably accurate enough for art purposes. One cannot form it by adding together fractions of 1 unit. Making the grid denser does not help (see NOTE2), because sqrt(2) is an irrational number. Unfortunately that ellipse will not snap to the grid. ![]() You wanted an ellipse which presents a XY-plane circle which has diameter = 1 unit. Unfortunately its diameter is 1,41 units, exactly 1 unit multiplied by sqrt(2) where the sqrt means square root. ![]() It's the one which is easy to draw into the grid, because it snaps. The black ellipse presents a XY-plane circle. When measured in the image above, the lengths of the green and red lines are not 1 in the original XY-plane units, they are the isometric projections of 1 unit long sides of a square. There's as faint blue the ordinary isometric grid (see NOTE1) which actually contains the isometric images of tiled 1 unit x 1 unit x 1 unit cubes.
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