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horizon 1 2 3 4 the fifth point correct from 23 cm, at 160 mm wide cross-ratio 1.627695 at position 1 of 22
Chasles
1
Four points on a conic look the same from anywhere on it
1 essay · foundations
the ruler's mark the plan's mark correct from 19 cm, at 160 mm wide 46° across
Circleinsquare
4
The circle in the square wants a number
1 essay · construction
horizon tread 1 correct from 14 cm, at 160 mm wide elliptic · trace² 2.0000 · back after 4
Classify
1
Three kinds of map on a row of posts
1 essay · foundations
0 2 4 0 10 20 30 40 50 degrees off the optical axis, inside the reprojected frame marks the target wants, per mark the source laid down one mark for one mark ×5.49 at the edge 68% of the source unused correct from 6.7 cm at 160 mm wide
Composite
1
Shot on one surface, shown on another
1 essay · curved
an anchor correct from 19 cm, at 160 mm wide flat 1e-13 px · rolled 30.5 px
Composition
3
A projection of a projection
1 essay · foundations
drawn: 1.309 : 1 subtended at the station point: 1.000000000 : 1 the faint circle is the mean radius, for comparison the drawn centre sits 3.42 px from the axis's own mark
Cone
4
The sixty-degree cone of vision
1 essay · wrong
eye, on the axis a cone 29 cm across and 22 cm high the design lies from 0.17 m to 0.47 m out
Conemirror
5
The cone that reads the floor
1 essay · mirrors
fitted conic: a circle to 1e-9 stereographic dashed: the fit, not the samples
Conformal
1
Stereographic keeps every angle, and only stereographic
1 essay · curved
horizon the middle of what is left the principal point correct from 22 cm, at 160 mm wide crop 20% · centres 81 px apart
Crop
1
The centre of the picture is not the centre of the paper
1 essay · construction
fitted conic: 1.467 from being a circle cylinder the samples, fitted
Cylinder
1
The cylinder, and the price of going all the way round
1 essay · curved
horizon equal steps halve the taper by worst error, in metres of depth equal steps to the horizon 11.72 m halve the remaining gap 225.13 m taper by eye 347.80 m correct from 26 cm, at 160 mm wide 34° across
Deptheye
4
Dividing depth by eye
1 essay · wrong
floor wall floor 36.3° · wall 29.3° dihedral 6.9°
Divergent
2
The room a divergent picture is a photograph of
1 essay · conventions
projector the seat correct from 19 cm, at 160 mm wide 23.6° worst
Dome
1
A projector that is not at the dome's centre
1 essay · curved
0 2 4 6 8 0 20 40 60 80 angle off the optical axis (degrees) area scale, relative to the centre plane cylinder stereographic equidistant equal-area equirect. measured by differencing on the sphere the plane leaves the frame
Fisheye
1
Every fisheye is a different rule
1 essay · curved
0 0.250 0.500 0.750 1 0 20 40 60 80 angle off the optical axis (degrees) image radius, against the radius the same lens gives at 90° equidistant equal-area stereographic orthographic flat plane each curve divided by its own radius at 90° 54.0% apart at 45°
Fitlaw
1
Which rule a fisheye obeys, from straightness alone
1 essay · curved
centre faint dots: before · solid: after homology ratio 2.4000
Fixedstructure
3
What a flat map leaves alone
1 essay · foundations
one plate the other the hinge drawn at 94.3° · reads as 100.0° or 86.6° an orthographic drawing of a fold two readings, 13.4° apart
Foldreversal
4
A drawn fold has a phantom
1 essay · parallel
the eye near 0.90 m far 4.20 m focal 740 px principal 345, 210
Frustum
2
Four numbers and a window
1 essay · pipeline
correct from 14 cm, at 160 mm wide 33° · 0.20 m out
Grazing
1
The lamp a low shadow cannot locate
1 essay · light
correct from 14 cm, at 160 mm wide 12×12 cells · worst 1.57 px
Gridcopy
1
Copying square by square
1 essay · construction
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