Mondrian Notes

From KubovyLab

Contents 1 Fox Trot 1929-1930 2 Composition 1933 3 Mondrian 1935 4 Notes

Fox Trot 1929-1930

• Bands (V = vertical, H = horizontal): V1, V2, H
• Positioning
  1. The position of each band can be controlled by clicking and dragging (with possible use of arrows for fine control).
  2. The limits of the positions would be determined by the current position of the other two bands, so that they would not vary structurally.
  3. V1 and H would not be allowed to touch.
  4. H would have to intersect V2
  5. Leave a visible white patch below their intersection. The white corner to the right of V2 and below H, should never be less than half of what it is in the painting (dimensions in green).
  6. The edge of a strip should not be allowed to approach the relevant axis of symmetry within less that 50% of its width.
  7. The distance between V1 and H (in green) should not be allowed to decrease to less than 20% of its value.
• Further constraints:
  • H1
    1. bottom edge of H1 at least 11.11 above the bottom corner. (superseded by V2/H1)
    2. top edge of H1 at least 11.11 below the horizontal axis of symmetry (superseded by V1/H1)
  • V1
    1. left edge of V1 at least 18.95 to the right of left corner.
    2. right edge of V1 at least 18.95 to the left of vertical axis (superseded by V1/H1)
  • V2
    1. left edge of V2 at least 8.58 to the right of the vertical axis.
    2. right edge of V2 at least 8.58 to the left of the right corner (superseded by V2/H1→V1/H1).
  • V1/H1
    1. horizontal distance between the leftmost point of H1 and the lowest point of V1 no less than 18.95.
    2. vertical distance between the leftmost point of H1 and the lowest point of V1 no less than 11.11 (redundant?).
  • V2/H1
    1. the vertical side of the triangle formed to the right of V2 and below H1 at least 11.11
    2. the horizontal side of the triangle formed to the right of V2 and below H1 at least 8.58 (redundant?).
• Thickness
  1. The thickness of each band can be controlled by a slider: the subject clicks on it and then manipulates the thickness, while respecting the constraints
  2. The subject could choose to wide the band to the right, left, or bilaterally.
  3. The order of widths would be preserved
  4. the width of V1 could not be increased by more than a factor of 2.
  5. The order of widths in the original, which is I believe w(V1) > w(H) > w(V2).
  6. Let's call the variable objects, v1, h, and v2. Thus X %in% {V1, H, V2}, and x %in% {v1, h, v2}.
     1. The subject should be allowed to vary w(x) such that .5w(X) ≤ w(x) ≤ 2 w(X) subject to w(v1) > w(h) > w(v1).
     2. The ordering of widths is always preserved (with 5%), and any given width cannot be more than halved or doubled. *# Example: Suppose that the subject is manipulating w(h), and w(h) approaches w(h) = w(v1), then w(h) should not be allowed to increase beyond .95w(V1).
• Orientations
  • Reflect Left/Right, Up/Down
  • Rotate by increments of 45 deg.
• Colors
  • Central beige background RGB 249, 247, 234:     
  • Black lines RGB 24, 24, 36:     
  • Frame RGB 222, 222, 198:     
• Experiment Design
  • Eight trials per subject (in random order):
  • The four 90 deg rotations (incl. the original) x (original + its mirror image).
  • The initial positions should be chosen randomly within the range of available positions.
  • Collect time spent on each trial and initial and final positions of strips.

Composition 1933

• Colors:
  • white = RGB 228, 228, 228:     
  • black = RGB 66, 66, 66:     
  • yellow = RGB 230, 208, 39:     
  • blue = RGB 62, 62, 130:     
  • frame = RGB 228, 228, 210:     
• Manipulation:
  • Only the vertical moves. Stays at least 11 pixels from left edge and from center.

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Mondrian 1935

• Colors:
  • red = RGB 176, 25, 65:     
  • right grey = RGB 197, 196, 212:     
  • left grey = RGB 209, 213, 226:     
  • no frame
• Geometry:
  • landmarks along bottom: xmin = 0, v1 = [287, 295], v2 = [309, 317], v3 = [522, 531], xmax = 647
  • landmarks along left side: ymin = 0, h1 = [255, 267], h2 = [346, 355], h3 = [372, 382], ymax = 655
  • red area: ymin = 0, h4 = [30, 38]
  • left sq: delta x = 287, delta y = 284 there's a 1% difference between them
• manipulation:
  • we move v3 between [341, 350] and [629, 638]

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Notes

Project Implicit Notes