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ESSAYS
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Adv. Mater. 2011, 23, 4343–4346
Marco Rolandi,* Karen Cheng, and Sarah Pérez-Kriz
A Brief Guide to Designing Effective Figures for the
Scientific Paper
Prof. M. Rolandi
Department of Materials Science and Engineering
University of Washington
Seattle, WA 98195, USA
E-mail: rolandi@u.washington.edu
Prof. K. Cheng
Division of Design
Visual Communication Design
University of Washington
Seattle, WA 98195, USA
Prof. S. Pérez-Kriz
Department of Human Centered Design & Engineering
University of Washington
Seattle, WA 98195, USA
DOI: 10.1002/adma.201102518
1. Figures in Science
In 1610, Galileo sent a letter to Cosimo de’ Medici (his patron)
describing the first telescopic observations. In his letter, Gal-
ileo included a small set of a large series of famous drawings
depicting the earth’s moon.[1] Galileo employed these drawings
to communicate his discoveries. In his book, Siderues Nuncios,
additional illustrations of the moon were used as critical sup-
port for Galileo’s argument for a heliocentric system (Figure 1).
As a true Renaissance man, Galileo was able to make these
drawings because in addition to studying science at the Uni-
versity of Pisa, he also studied the fine arts, or “Disegno”, even
becoming an instructor at the Accademia delle Arti del Disegno
in Florence.
Nowadays, very few scientists send letters to the de’ Medici
family, although we do send reports to funding agencies. Even
fewer scientists study “Disegno” in Florence. However, contem-
porary scientists do still communicate their discoveries with
figures in scientific papers.
The use of illustrations in scientific publications is a long-
standing tradition that predates Galileo considerably. As early
as 4000 B. C. in ancient Egypt and later on in Greece, draw-
ings were used to document advances in astronomy, geometry,
agriculture, and medicine. The first illustrated medical book
Fasciculo de Medicina was printed in 1491 and is today consid-
ered the starting point of modern Western medicine.[3] In the
18th century, during the Age of Enlightenment, illustrations
were used broadly in scientific manuscripts to disseminate
knowledge to the general public.[4]
In the Middle Ages, books were written and illustrated by
hand. Later, advances in printing craft and technology enabled
illustrations to become an integral part of a scientific treatise.
The current “digital age” has made the creation of illustrations
and figures for scientific publications even more accessible.
While scientists no longer need to plot graphs by hand, it is
often still by trial and error that figures are made. In 2004, the
essay “Whitesides’ Group: Writing a Paper”[5]
provided useful
directions on how to approach the writing process. However,
it has been more than half a century[6] since a guide to making
figures for the scientific paper has appeared in the literature. In
this essay, we attempt to help scientists and engineers in their
process of creating figures for publication with a brief series of
suggestions.
2. Why Figures Matter
Figures are often the first part of a scientific paper that is
reviewed by the editor, and if the paper is accepted, often the
first part examined by your peers. Figures should not be seen
as decoration or as attention-getting visual attraction. Visual
representations can convey facts, ideas, and relationships far
more clearly and concisely than descriptive text.[7] Indeed, many
advanced imaging tools and visualization methods were first
developed for scientific purposes as a means towards discov-
ering or quantifying patterns, trends, and comparisons. Figures
are powerful tools to effectively and efficiently convey complex
information. Well-designed figures can help the audience better
understand the objectives and results of your research.
Figure 1. Engraving of the moon from Galileo’s Sidereus Nuncius
(III, 53-96) 1610. Reproduced with permission.[2]
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through a figure. A grid can be a useful tool in creating this
structure.[12]
In figures, grids can help organize disparate ele-
ments into visual groups that an audience can attend to and
remember[9]
(Figure 2).
A wide variety of compositional structures (both with and
without grids) are possible to accomplish the desired flow of
information in a figure. In design, as in science, there are often
multiple paths to multiple solutions. The specific composition
of a figure will vary depending on the content, the number of
parts in the figure, and the relationship of the parts to each
other and to the whole.
3.4. Use Visual Contrast, But Keep Figures Simple
Use visual contrast to highlight the most important informa-
tion. Vary the size, shape, position, orientation, or color of an
element (or group of elements) in order to make the key part
of the figure the most visually prominent.[13] Typically, larger,
darker, and brighter elements are more prominent than what is
smaller, lighter, and duller (Figure 3).
1) Avoid incorporating every form of visual contrast. A single
type of contrast (i.e., only shape, or only size, or only color) is
usually sufficient. Too much contrast creates visual noise that
3. How to Design Effective Figures
3.1. Design Figures for the Audience (Not for You)
Just like language, graphics communicate information to
other people. It is crucial to keep these people, or addressees,
in mind when the graphic is being constructed.[8] Consider:
1) The make-up of the audience. A figure for a specialized
journal may require a different design than a figure aimed at a
broader readership. 2) The background knowledge of the audi-
ence. The audience may not know what you know. Graphics
should provide all the information necessary for the audience
to fully comprehend them. 3) Disciplinary conventions. Graph-
ical conventions and norms exist in each field. Make sure you
follow these practices. If you are submitting to a journal with a
broader audience, consider using images and graphic elements
that are generally recognized and clearly identifiable.
3.2. Focus on the Most Important Information
Whitesides stresses the importance of writing an outline for
the basic organization of a scientific paper.[5]
We suggest that
this outline include the figures and their placement. Most pub-
lications limit the number of figures due to space constraints.
Therefore, the few figures that can be included need to be well
focused. Before starting to design the figures: 1) Identify the
storyline and how each figure will contribute to it. Ensure that
every figure serves a well-defined purpose and is critical to
the overall story. 2) Establish the key message for each figure.
Every element in the figure should contribute to that message.
Without sacrificing clarity, consider removing unnecessary
detail (however, do not manipulate data!). Some results may be
better suited for the Supporting Information, rather than being
placed in an overwhelmingly complex (and hard to understand)
figure. Follow “The Principle of Relevance”, which states “Com-
munication is most effective when neither too much nor too
little information is presented.”[9]
3.3. Design a Clear Visual Structure
The most difficult part of designing a figure is determining an
effective overall visual structure. To this end, the best design
principle is “form follows function”, i.e., that the shape of an
object should be based upon its intended purpose.[10]
In the
case of figures, “form follows function” means that the visual
composition should guide the viewer along a logical sequence
of information. The viewer should be able to: 1) Easily enter
the image. The top-left corner is a natural entry point for the
viewer. Most people view an image by scanning from the top
left to the lower right.[11]
Take advantage of this innate tendency
by beginning the figure in this area. 2) Attain an overview of
the most important information. Most viewers expect a left-
to-right and/or top-to-bottom pattern of movement. Creating a
“filmstrip” of images in either of these directions supports this
convention. 3) Absorb additional details and secondary content.
Viewers need an organizational structure to help guide them
Figure 3. Vary the shape, size, orientation, weight, position, or color of
an element (or group of elements) to make the key part of the figure
visually clear.
WEIGHT POSITION COLOR
SHAPE SIZE ORIENTATION
Figure 2. Grids can help to organize the spaces around and in-between
elements.
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© 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
ESSAYS
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Adv. Mater. 2011, 23, 4343–4346
different shapes, and/or different fills (shades, tints or patterns)
for visual contrast. 4) Remove all non-data elements that do not
serve a communicative function.[17]
This includes decorative
flourishes such as drop shadows, 3D extrusions, unnecessary
gradients, etc. (Figure 4).[18]
In graphs, charts, and diagrams,
gridlines should be subordinate to the data being displayed.
Make supporting tick marks small and guidelines thin or
dotted.
3.5. Create Legible and Readable Typography
Text in figures should be clear and readable at a glance. Make
sure that the text is readable after the graphic is resized to its
final dimensions. To enhance readability: 1) Use sans-serif
fonts. Sans-serif typefaces such as Helvetica and Arial are often
more legible than serifs when set in small sizes.[15] Because
most publications use serif typefaces for body text, using
sans-serif type in graphics provides contrast and avoids confu-
sion. 2) Maximize the contrast between type and background.
A 70% contrast of type and background (i.e., white type on a
70% dark gray background) is optimal.[19]
Avoid value combi-
nations below this threshold, especially combinations that pair
complementary colors, because this causes visual vibration.[20]
Avoid placing text over a patterned background or photograph,
which often renders type illegible (Figure 5). 3) Include scale
bars and label the axes. Consider whether the figure needs a
legend to label the patterns and symbols used. Direct labeling
(text placed directly by points, lines, etc.) is desirable, since
it avoids burdening the viewer with back-and-forth legend
obscures information.[14] 2) Avoid using too many colors. A
limited color palette is often most effective.[15] Ensure that indi-
vidual color selections vary in their value, where value refers
to the relative lightness or darkness of a color. Value contrast
improves the viewer’s ability to distinguish between a range
of colors. 3) Consider using a limited black-and-white palette
rather than full color. High-contrast black and white graphics
can be more readable than color.[16] Black and white graphics
are also better for copying and laser printing. When designing
in black and white, use different line styles and/or thicknesses,
Figure 4. a) A disorganized science graphic, with questionable use of
shadows, glows, and other software effects. The text is illegible due to low
value contrast. b) A clearer version of (a) designed by one of the authors
(M.R). Reproduced with permission.[18] c) A version of (b) improved by
one of the authors (K.C.). In this redesign, the molecular reaction has
been enlarged for greater legibility. Fewer type sizes are used, and com-
ponents are aligned on an implied grid.
Figure 5. Strive for at least 70% contrast between text and background,
Avoid placing text over a patterned background; instead, text should be
placed nearby or adjacent to the image or in the legend.
Inadequate readability due to patterned background
Inadequate readability due to low value contrast
Adequate readability due to high value contrast
4346
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© 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
ESSAYS
wileyonlinelibrary.com Adv. Mater. 2011, 23, 4343–4346
consultation. However, direct labeling is often impossible due
to overlap issues and/or space constraints.
4. Outlook
If you think carefully about designing figures, you are already
a step ahead in the creative process. As with a manuscript, it is
a good idea to ask colleagues, or if you are lucky, a friend with
a design background, to review your work. For further reading,
there are several excellent guides on designing effective figures,
many of which are cited in this essay.
Acknowledgements
The authors acknowledge support from NSF-DRL award 1008568. M.R.
also acknowledges partial funding from NSF-Chem 1012419, Intel, and a
3M Untenured Faculty Grant.
Received: July 1, 2011
Published online: August 26, 2011
[1] S. Drake, J. Hist. Astron. 1976, 7, 153.
[2] Museo Galileo, http://www.museogalileo.it/en/(accessed July 2011).
[3] S. DiMaio, F. Discepola, R. F. Del Maestro, Neurosurgery 2006, 58,
187.
[4] W. R. Shea, Science and the visual image in the enlightenment, Science
History Publications, Canton, MA 2000.
[5] G. M. Whitesides, Adv. Mater. 2004, 16, 1375.
[6] R. C. Christman, Science 1954, 119, 534.
[7] D. F. Dansereau, D. D. Simpson, Prof. Psychol. Res. Pr. 2009, 40,
104.
[8] N. Duarte, Slide:ology: the art and science of creating great presenta-
tions, O’Reilly Media, Beijing and Sebastopol, CA 2008.
[9] S. M. Kosslyn, Graph design for the eye and mind, Oxford University
Press, New York 2006.
[10] L. H. Sullivan, Lippincott’s Mag. 1896, 57, 403.
[11] D. A. Dondis, A primer of visual literacy, MIT Press, Cambridge,
MA 1973.
[12] H. R. Bosshard, Der typographische Raster, Niggli, Sulgen,
Switzerland 2000.
[13] J. Visocky O’Grady, K. Visocky O’Grady, The information design hand-
book, How Books, Cincinnati, OH 2008.
[14] R. S. Wurman, Information anxiety, Doubleday, New York 1989.
[15] R. Lipton, The practical guide to information design, Wiley, Hoboken,
NJ 2007.
[16] B. Wong, Nat. Methods 2011, 8, 525.
[17] E. R. Tufte, The visual display of quantitative information, Graphics
Press, Cheshire, CT 1983.
[18] J. D. Torrey, S. E. Vasko, A. Kapetanovic, Z. Zhu, A. Scholl,
M. Rolandi, Adv. Mater. 2010, 22, 4639.
[19] ADA Document Portal, http://adaportal.mtc-inc.com/Facility_
Access/ADAAG/Appendix/ADAAG_Appendix_4-30.html (accessed
July 2011) .
[20] J. Albers, Interaction of color, Yale University Press, New Haven, CT,
1971.

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A Brief Guide To Designing Effective Figures For The Scientific Paper

  • 1. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 4343 www.advmat.de www.MaterialsViews.com ESSAYS wileyonlinelibrary.com Adv. Mater. 2011, 23, 4343–4346 Marco Rolandi,* Karen Cheng, and Sarah Pérez-Kriz A Brief Guide to Designing Effective Figures for the Scientific Paper Prof. M. Rolandi Department of Materials Science and Engineering University of Washington Seattle, WA 98195, USA E-mail: rolandi@u.washington.edu Prof. K. Cheng Division of Design Visual Communication Design University of Washington Seattle, WA 98195, USA Prof. S. Pérez-Kriz Department of Human Centered Design & Engineering University of Washington Seattle, WA 98195, USA DOI: 10.1002/adma.201102518 1. Figures in Science In 1610, Galileo sent a letter to Cosimo de’ Medici (his patron) describing the first telescopic observations. In his letter, Gal- ileo included a small set of a large series of famous drawings depicting the earth’s moon.[1] Galileo employed these drawings to communicate his discoveries. In his book, Siderues Nuncios, additional illustrations of the moon were used as critical sup- port for Galileo’s argument for a heliocentric system (Figure 1). As a true Renaissance man, Galileo was able to make these drawings because in addition to studying science at the Uni- versity of Pisa, he also studied the fine arts, or “Disegno”, even becoming an instructor at the Accademia delle Arti del Disegno in Florence. Nowadays, very few scientists send letters to the de’ Medici family, although we do send reports to funding agencies. Even fewer scientists study “Disegno” in Florence. However, contem- porary scientists do still communicate their discoveries with figures in scientific papers. The use of illustrations in scientific publications is a long- standing tradition that predates Galileo considerably. As early as 4000 B. C. in ancient Egypt and later on in Greece, draw- ings were used to document advances in astronomy, geometry, agriculture, and medicine. The first illustrated medical book Fasciculo de Medicina was printed in 1491 and is today consid- ered the starting point of modern Western medicine.[3] In the 18th century, during the Age of Enlightenment, illustrations were used broadly in scientific manuscripts to disseminate knowledge to the general public.[4] In the Middle Ages, books were written and illustrated by hand. Later, advances in printing craft and technology enabled illustrations to become an integral part of a scientific treatise. The current “digital age” has made the creation of illustrations and figures for scientific publications even more accessible. While scientists no longer need to plot graphs by hand, it is often still by trial and error that figures are made. In 2004, the essay “Whitesides’ Group: Writing a Paper”[5] provided useful directions on how to approach the writing process. However, it has been more than half a century[6] since a guide to making figures for the scientific paper has appeared in the literature. In this essay, we attempt to help scientists and engineers in their process of creating figures for publication with a brief series of suggestions. 2. Why Figures Matter Figures are often the first part of a scientific paper that is reviewed by the editor, and if the paper is accepted, often the first part examined by your peers. Figures should not be seen as decoration or as attention-getting visual attraction. Visual representations can convey facts, ideas, and relationships far more clearly and concisely than descriptive text.[7] Indeed, many advanced imaging tools and visualization methods were first developed for scientific purposes as a means towards discov- ering or quantifying patterns, trends, and comparisons. Figures are powerful tools to effectively and efficiently convey complex information. Well-designed figures can help the audience better understand the objectives and results of your research. Figure 1. Engraving of the moon from Galileo’s Sidereus Nuncius (III, 53-96) 1610. Reproduced with permission.[2]
  • 2. 4344 www.advmat.de www.MaterialsViews.com © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim ESSAYS wileyonlinelibrary.com Adv. Mater. 2011, 23, 4343–4346 through a figure. A grid can be a useful tool in creating this structure.[12] In figures, grids can help organize disparate ele- ments into visual groups that an audience can attend to and remember[9] (Figure 2). A wide variety of compositional structures (both with and without grids) are possible to accomplish the desired flow of information in a figure. In design, as in science, there are often multiple paths to multiple solutions. The specific composition of a figure will vary depending on the content, the number of parts in the figure, and the relationship of the parts to each other and to the whole. 3.4. Use Visual Contrast, But Keep Figures Simple Use visual contrast to highlight the most important informa- tion. Vary the size, shape, position, orientation, or color of an element (or group of elements) in order to make the key part of the figure the most visually prominent.[13] Typically, larger, darker, and brighter elements are more prominent than what is smaller, lighter, and duller (Figure 3). 1) Avoid incorporating every form of visual contrast. A single type of contrast (i.e., only shape, or only size, or only color) is usually sufficient. Too much contrast creates visual noise that 3. How to Design Effective Figures 3.1. Design Figures for the Audience (Not for You) Just like language, graphics communicate information to other people. It is crucial to keep these people, or addressees, in mind when the graphic is being constructed.[8] Consider: 1) The make-up of the audience. A figure for a specialized journal may require a different design than a figure aimed at a broader readership. 2) The background knowledge of the audi- ence. The audience may not know what you know. Graphics should provide all the information necessary for the audience to fully comprehend them. 3) Disciplinary conventions. Graph- ical conventions and norms exist in each field. Make sure you follow these practices. If you are submitting to a journal with a broader audience, consider using images and graphic elements that are generally recognized and clearly identifiable. 3.2. Focus on the Most Important Information Whitesides stresses the importance of writing an outline for the basic organization of a scientific paper.[5] We suggest that this outline include the figures and their placement. Most pub- lications limit the number of figures due to space constraints. Therefore, the few figures that can be included need to be well focused. Before starting to design the figures: 1) Identify the storyline and how each figure will contribute to it. Ensure that every figure serves a well-defined purpose and is critical to the overall story. 2) Establish the key message for each figure. Every element in the figure should contribute to that message. Without sacrificing clarity, consider removing unnecessary detail (however, do not manipulate data!). Some results may be better suited for the Supporting Information, rather than being placed in an overwhelmingly complex (and hard to understand) figure. Follow “The Principle of Relevance”, which states “Com- munication is most effective when neither too much nor too little information is presented.”[9] 3.3. Design a Clear Visual Structure The most difficult part of designing a figure is determining an effective overall visual structure. To this end, the best design principle is “form follows function”, i.e., that the shape of an object should be based upon its intended purpose.[10] In the case of figures, “form follows function” means that the visual composition should guide the viewer along a logical sequence of information. The viewer should be able to: 1) Easily enter the image. The top-left corner is a natural entry point for the viewer. Most people view an image by scanning from the top left to the lower right.[11] Take advantage of this innate tendency by beginning the figure in this area. 2) Attain an overview of the most important information. Most viewers expect a left- to-right and/or top-to-bottom pattern of movement. Creating a “filmstrip” of images in either of these directions supports this convention. 3) Absorb additional details and secondary content. Viewers need an organizational structure to help guide them Figure 3. Vary the shape, size, orientation, weight, position, or color of an element (or group of elements) to make the key part of the figure visually clear. WEIGHT POSITION COLOR SHAPE SIZE ORIENTATION Figure 2. Grids can help to organize the spaces around and in-between elements.
  • 3. 4345 www.advmat.de www.MaterialsViews.com © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim ESSAYS wileyonlinelibrary.com Adv. Mater. 2011, 23, 4343–4346 different shapes, and/or different fills (shades, tints or patterns) for visual contrast. 4) Remove all non-data elements that do not serve a communicative function.[17] This includes decorative flourishes such as drop shadows, 3D extrusions, unnecessary gradients, etc. (Figure 4).[18] In graphs, charts, and diagrams, gridlines should be subordinate to the data being displayed. Make supporting tick marks small and guidelines thin or dotted. 3.5. Create Legible and Readable Typography Text in figures should be clear and readable at a glance. Make sure that the text is readable after the graphic is resized to its final dimensions. To enhance readability: 1) Use sans-serif fonts. Sans-serif typefaces such as Helvetica and Arial are often more legible than serifs when set in small sizes.[15] Because most publications use serif typefaces for body text, using sans-serif type in graphics provides contrast and avoids confu- sion. 2) Maximize the contrast between type and background. A 70% contrast of type and background (i.e., white type on a 70% dark gray background) is optimal.[19] Avoid value combi- nations below this threshold, especially combinations that pair complementary colors, because this causes visual vibration.[20] Avoid placing text over a patterned background or photograph, which often renders type illegible (Figure 5). 3) Include scale bars and label the axes. Consider whether the figure needs a legend to label the patterns and symbols used. Direct labeling (text placed directly by points, lines, etc.) is desirable, since it avoids burdening the viewer with back-and-forth legend obscures information.[14] 2) Avoid using too many colors. A limited color palette is often most effective.[15] Ensure that indi- vidual color selections vary in their value, where value refers to the relative lightness or darkness of a color. Value contrast improves the viewer’s ability to distinguish between a range of colors. 3) Consider using a limited black-and-white palette rather than full color. High-contrast black and white graphics can be more readable than color.[16] Black and white graphics are also better for copying and laser printing. When designing in black and white, use different line styles and/or thicknesses, Figure 4. a) A disorganized science graphic, with questionable use of shadows, glows, and other software effects. The text is illegible due to low value contrast. b) A clearer version of (a) designed by one of the authors (M.R). Reproduced with permission.[18] c) A version of (b) improved by one of the authors (K.C.). In this redesign, the molecular reaction has been enlarged for greater legibility. Fewer type sizes are used, and com- ponents are aligned on an implied grid. Figure 5. Strive for at least 70% contrast between text and background, Avoid placing text over a patterned background; instead, text should be placed nearby or adjacent to the image or in the legend. Inadequate readability due to patterned background Inadequate readability due to low value contrast Adequate readability due to high value contrast
  • 4. 4346 www.advmat.de www.MaterialsViews.com © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim ESSAYS wileyonlinelibrary.com Adv. Mater. 2011, 23, 4343–4346 consultation. However, direct labeling is often impossible due to overlap issues and/or space constraints. 4. Outlook If you think carefully about designing figures, you are already a step ahead in the creative process. As with a manuscript, it is a good idea to ask colleagues, or if you are lucky, a friend with a design background, to review your work. For further reading, there are several excellent guides on designing effective figures, many of which are cited in this essay. Acknowledgements The authors acknowledge support from NSF-DRL award 1008568. M.R. also acknowledges partial funding from NSF-Chem 1012419, Intel, and a 3M Untenured Faculty Grant. Received: July 1, 2011 Published online: August 26, 2011 [1] S. Drake, J. Hist. Astron. 1976, 7, 153. [2] Museo Galileo, http://www.museogalileo.it/en/(accessed July 2011). [3] S. DiMaio, F. Discepola, R. F. Del Maestro, Neurosurgery 2006, 58, 187. [4] W. R. Shea, Science and the visual image in the enlightenment, Science History Publications, Canton, MA 2000. [5] G. M. Whitesides, Adv. Mater. 2004, 16, 1375. [6] R. C. Christman, Science 1954, 119, 534. [7] D. F. Dansereau, D. D. Simpson, Prof. Psychol. Res. Pr. 2009, 40, 104. [8] N. Duarte, Slide:ology: the art and science of creating great presenta- tions, O’Reilly Media, Beijing and Sebastopol, CA 2008. [9] S. M. Kosslyn, Graph design for the eye and mind, Oxford University Press, New York 2006. [10] L. H. Sullivan, Lippincott’s Mag. 1896, 57, 403. [11] D. A. Dondis, A primer of visual literacy, MIT Press, Cambridge, MA 1973. [12] H. R. Bosshard, Der typographische Raster, Niggli, Sulgen, Switzerland 2000. [13] J. Visocky O’Grady, K. Visocky O’Grady, The information design hand- book, How Books, Cincinnati, OH 2008. [14] R. S. Wurman, Information anxiety, Doubleday, New York 1989. [15] R. Lipton, The practical guide to information design, Wiley, Hoboken, NJ 2007. [16] B. Wong, Nat. Methods 2011, 8, 525. [17] E. R. Tufte, The visual display of quantitative information, Graphics Press, Cheshire, CT 1983. [18] J. D. Torrey, S. E. Vasko, A. Kapetanovic, Z. Zhu, A. Scholl, M. Rolandi, Adv. Mater. 2010, 22, 4639. [19] ADA Document Portal, http://adaportal.mtc-inc.com/Facility_ Access/ADAAG/Appendix/ADAAG_Appendix_4-30.html (accessed July 2011) . [20] J. Albers, Interaction of color, Yale University Press, New Haven, CT, 1971.