Original drawings
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Animation ☎∈ Animation of the simplest tensegrity structure. |
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Animation ☎∈ Animation of a simple tensegrity structure. |
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☎∈ A rhombic triacontahedron with an inscribed tetrahedron (red) and cube (yellow).
(Click here for rotating model) -
☎∈ A rhombic triacontahedron with an inscribed dodecahedron (blue) and icosahedron (purple).
(Click here for rotating model)
Pseudo-3D SVG
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☎∈ Comparison of parallax-barrier and lenticular autostereoscopic displays. Note: The figure is not to scale.
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☎∈ Golomb rulers in interior design: Example of a conference room with proportions of a Golomb ruler, making it configurable to 10 different sizes.
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☎∈ Some 3D shapes in isometric projection. Black labels denote dimensions of the 3D object, while red labels denote dimensions of the 2D projection (drawing).
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☎∈ Massing model showing the shape of the Bank of China Tower. The labels correspond to the number of 'X' shapes on each outward facing side.
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☎∈ Visualisation of composition by volume of Earth's atmosphere. Data is from NASA Langley: http://www.nasa.gov/centers/langley/pdf/245893main_MeteorologyTeacherRes-Ch2.r4.pdf .
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☎∈ Visualisation of the distribution (by volume) of water on Earth. Each tiny cube (such as the one representing biological water) corresponds to approximately 1000 cubic km of water, with a mass of approximately 1 trillion tonnes (200000 times that of the Great Pyramid of Giza or 5 times that of Lake Kariba, arguably the heaviest man-made object). The entire block comprises 1 million tiny cubes. Data is from http://ga.water.usgs.gov/edu/waterdistribution.html .
Charts
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☎∈ In this geometric visualisation, the value at the green circle multiplied by the distance between the red and blue circles is equal to the sum of the value at the red circle multiplied by its distance to the blue circle, and the value at the blue circle multiplied by its distance to the red circle.
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☎∈ Comparison of probability density functions, p(k) for the sum of n fair 6-sided dice to show their convergence to a normal distribution with increasing n, in accordance to the central limit theorem. In the individual probability distribution functions, the minima, maxima and mods are labelled. In the bottom-right graph, smoothed profiles of the previous graphs are rescaled, superimposed and compared with a normal distribution, shown in black.
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☎∈ Timeline of the colleges of the University of Cambridge in the order their students are presented for graduation, compared with some events in British history.
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☎∈ Log-lin pressure-temperature phase diagram of water. The Roman numerals indicate various ice phases.
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☎∈ Comparison of sizes of semiconductor manufacturing process nodes with some microscopic objects and visible light wavelengths. At this scale, the width of a human hair is about 10 times that of the image.[1]
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☎∈ Comparison of the 1962 US Standard Atmosphere graph of geometric altitude against air density, pressure, the speed of sound and temperature with approximate altitudes of various objects.[2]
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☎∈ Estimated and projected populations of the world and its inhabited continents from 1950 to 2100. The shaded regions correspond to range of projections by the United Nations Department of Economic and Social Affairs; for example, it estimates that the world population will reach 8 billion between 2022 and 2035.[4]
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☎∈ Plot of Voyager 2's heliocentric velocity against its distance from the sun, illustrating the use of gravity assist to accelerate the spacecraft by Jupiter, Saturn and Uranus. To observe Triton, Voyager 2 passed over Neptune's north pole resulting in an acceleration out of the plane of the ecliptic and reduced velocity away from the sun.[6]
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☎∈ Inferred orbits of 6 stars around supermassive black hole candidate Sagittarius A* at the Milky Way galactic centre.[7]
Other original drawings
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☎∈ Illustration of autofocus using phase detection. In each figure, the purple circle represents the object to be focused on, the red and green rays represent light rays passing through apertures at the extreme sides of the lens, the yellow rectangle represents sensor arrays (one for each aperture), and the graph represents the intensity profile as seen by each sensor array. Figure 1 to 4 represent conditions where the lens is focused (1) too near, (2) correctly, (3) too far and (4) way too far. It can be seen from the graphs that the phase difference between the two profiles can be used to determine not just in which direction, but how much to change the focus to achieve optimal focus. Note that in reality, the lens moves instead of the sensor. Colours are used purely for clarity and do not represent any particular wavelength.
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☎∈ Trajectories of projectiles launched at different elevation angles but the same speed of 10 m/s in a vacuum and uniform downward gravity field of 10 m/s2. Points are at 0.05 s intervals and length of their tails is linearly proportional to their speed. t = time from launch, T = time of flight, R = range and H = highest point of trajectory (indicated with arrows).
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☎∈ Images of the black letters in an ideal convex lens of focal length f are shown in red. Selected rays are shown for letters E, I and K in blue, green and orange, respectively. Note that E (at 2f) has an equal-size, real and inverted image; I (at f) has its image at infinity; and K (at f/2) has a double-size, virtual and upright image.
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☎∈ Comparison of approximate profiles of some pyramidal or near-pyramidal buildings. Where the base is an oblong, the longer side is shown. Dotted lines indicate original heights, where data is available.
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☎∈ Five-set Venn diagram using congruent ellipses in a radially symmetrical arrangement devised by Branko Grünbaum. Labels have been simplified for greater readability; for example, A denotes A ∩ Bc ∩ Cc ∩ Dc ∩ Ec (or A ∩ ~B ∩ ~C ∩ ~D ∩ ~E), while BCE denotes Ac ∩ B ∩ C ∩ Dc ∩ E (or ~A ∩ B ∩ C ∩ ~D ∩ E).
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☎∈ Euler diagram of some types of quadrilaterals. (UK) denotes British English and (US) denotes American English.
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☎∈ Euler diagram of types of triangles, assuming isosceles triangles have at least 2 equal sides, implying that equilateral triangles are also isosceles triangles.
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Comparison of a knock-out with and without trapping, and overprinting for perfect and imperfect registration. Rows are as follows:Knock-out
without trappingKnock-out
with trappingOverprinting
1. The cyan (lighter) plate,
2. The magenta (darker) plate,
3. Result with perfect registration (some monitors show slight misalignment), and
4. Result with imperfect registration. -
☎∈ Illustration of 4-rail, 3-rail and 2-rail funicular railway layouts (note the gaps in the rails, and the unconventional wheels in the 2-rail layout).
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☎∈Principle of operation of a Serrurier truss for a telescope compared to a simple truss. For clarity, only the top and bottom structural elements are shown. Red and green lines denote elements under tension and compression, respectively.
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☎∈ The tangent and radial trussing of the Mathematical Bridge in Queens' College, Cambridge, with its tangential members highlighted.
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☎∈ How Gerrymandering can influence electoral results on a non-proportional system.
Example for a state with 3 equally sized districts, 15 voters and 2 parties: Plum (squares) and Orange (circles).
In (a), creating 3 mixed-type districts yields a 3–0 win to Plum — a disproportional result considering the state-wide 9:6 Plum majority.
In (b), Orange wins the urban district while Plum wins the rural districts — the 2-1 result reflects the state-wide vote ratio.
In (c), gerrymandering techniques ensure a 2-1 win to the state-wide minority Orange party.
Processed images
editSVG with embedded bitmap, designed to be easily translated into different languages
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☎∈ Map of notable volcanic eruptions. The apparent volume of each bubbles is linearly proportional to the volume of tephra ejected (i.e. their radius is linearly proportional to the cube root of the volume of tephra ejected), colour-coded by time of eruption as in the legend. Pink lines denote convergent boundaries, blue lines denote divergent boundaries and yellow spots denote hotspots. The dashed circle shows the equivalent ejection from the Chicxulub impact (200000+ km³).
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☎∈ Schematic view of Olympus Mons, Mars : Comparison of Olympus Mons with the highest mountains on Earth. In front of the central part of Olympus Mons are shown the largest terrestrial volcanic mountain, the island of Hawaii in the Pacific with its undersea pedestal, and the Mount Everest massif of the Himalayas.
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☎∈ Location of all successful soft landings on the Moon to date. Dates are landing dates in UTC.(Uses embedded bitmaps as icons.)
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☎∈ Planets and dwarf planets of the Solar System. Sizes are to scale, but relative distances from the Sun are not. (Uses 4 bitmaps of different shapes and rotated text.)
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☎∈ Manhattanhenge map of Manhattan Island, New York City (latitude approximately 40° N) centered on the intersection of Park Avenue and 34th Street, with times and directions of sunsets (solid line) and sunrises (dotted line) in 2011. Times marked with "*" have been adjusted for daylight saving. The purple, pink and green arrows correspond approximately to the summer solstice, equinoxes and winter solstice, respectively.
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☎∈ Cities and towns which are near antipodes in equirectangular projection. Blue labels correspond to the cyan areas and brown labels correspond to the yellow areas. Areas where blue and yellow overlap (coloured green) are land antipodes
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☎∈ Illustration of Action Safe and Title Safe areas for 4:3 and 16:9 aspect ratios according to the BBC. (Uses multiple instances of one bitmap.)
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☎∈ Orbits and directions of travel of the planets, Pluto, Ceres and Halley's Comet, viewed perpendicular to the ecliptic directly above the Sun. Their positions correspond to their configuration during the 5–6 June 2012 transit of Venus. Constellation names correspond to constellations on the ecliptic in the given directions. In the full SVG image, brighter parts of orbits are nearer to the viewer than the ecliptic and darker parts are farther. Planets' sizes are to scale and distances are roughly to (a different) scale. (Uses stroke-dashoffset and stroke-dasharray to shade parts of ellipses.)
Other processed images
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☎∈ Results of the Malaysian Dewan Rakyat based on the 2008 general election, showing parliamentary constituencies represented by equal-area hexagons with approximate geographic locations.
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☎∈ Current composition of the Malaysian Dewan Rakyat with changes since the 2008 general election emphasized for clarity. The parliamentary constituencies are represented by equal-area hexagons, positioned according to approximate geographic locations.
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☎∈ Aerial view of the Fukushima I plant area before the accidents. When this photograph was taken in 1975, Unit 6 was under construction.
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☎∈ Locations of large artificial objects on the Moon superimposed on data from the Clementine (spacecraft) mission in [[equirectangular projection.
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☎∈ Mollweide projection map of distance to the nearest coastline (including oceanic islands, but not lakes) with red spots marking the poles of inaccessibility of main land masses, Britain, and the Iberian Peninsula. Thin isolines are 250 km apart; thick lines 1000 km.
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☎∈ A hybrid image constructed from low-frequency components of a photograph of Marilyn Monroe (left inset) and high-frequency components of a photograph of Albert Einstein (right inset). The Einstein image is clearer in the full image.
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☎∈ A squircle (blue) compared with a rounded square (red). A squircle is a mathematical curve defined by the equation x4+y4=r4, while a rounded square is four 90° circular arcs of the same radius connected by tangent straight lines. In this construction, the two curves are arranged to coincide at angles which are multiples of 45° (i.e. 0°, 45°, 90°, 135° etc.).
References
edit- ^ Graham T. Smith (2002). Industrial metrology. Springer. p. 253. ISBN 1852335076.
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ignored (help) - ^ Geometric altitude vs. temperature, pressure, density, and the speed of sound derived from the 1962 U.S. Standard Atmosphere.
- ^ The World Bank - Life expectancy at birth, total (years)
- ^ World Population Prospects, the 2010 Revision
- ^ IMF World Economic Outlook database
- ^ Basics of space flight: Interplanetary Trajectories
- ^ "SINFONI in the Galactic Center: Young Stars and Infrared Flares in the Central Light-Month" by Eisenhauer et al, The Astrophysical Journal, 628:246-259, 2005
- ^ Galal Abada, "2004 On Site Review Report: Petronas Office Towers, Kuala Lumpur, Malaysia"
- ^ Note: The 2:1 pixel pattern in the near-isometric image allows smoother lines than in the isometric one.