Islamic Ellipses

With the 3 points Adaptive Component creating a quarter of ellipse sweep as described in . . . Ellipse . . . Points, a pattern of overlapping ellipses or circles (circle is an ellipse with equal axes) can be easily created.

Curtain Panel Pattern Based

Nest the 3 points ellipse sweep family into a curtain panel pattern based family.  Parameterize length 12, 23, 34, 41 as reporting parameters L12, L23,L34 and L41 respectively.  Place the ellipse sweep family by snapping on point 1, point 2 and point 4.  Continue placing instances by 3 points: point 2 point 3 point 1, point 3 point 4 point 2, point 4 point 1 point 2.

ELLIPSE-PATT

Select all the ellipse sweep family instances, associate the sweep radius parameter R with parameter R in the host family.  Put a formula for parameter R so that it will change with the module size of the curtain pattern.

ELLIPSE-PATT-FORMULA

Now the curtain pattern family is ready to use.

ELLIPSE-PATT2

Pattern on Surface

By creating surfaces, dividing them and mapping the curtain pattern family, the popular Islamic pattern of ellipses or circles overlapping can be made.

ISLAMIC-PATT-9

ISLAMIC-PATT-13

ISLAMIC-PATT-14

Enjoy patterns:)

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4 responses to “Islamic Ellipses

  1. Pingback: Weekly Roundup – 2015.28 | The BIMsider·

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