Dilettante Habits

Knowing nothing about everything

Size-Minimal Fonts

Abstract: Notes on and thoughts about size-minimal fonts or character sets.

Topics: typography

© Copyright Daniel Krajzewicz, 11.04.2017 12:11, cc by-nc-nd

Introduction

Given a limited amount of pixel-space, size-minimal fonts - or character sets - become an interesting topic. In the following, some thoughts about them are given.

Capital Chars

How could a size-minimal font look like? When looking at upper case characters only - and only plain Latin characters - the vertical size is mainly determined by the maximum of horizontal bars, which is three (like in 'B'). There is only one upper-case character that usually has a descender (lies partially below the baseline), which is the upper case 'J'. Sometimes, this is also the case for 'G' and/or 'Q'. We disregard the descender at first. Consequently, we have three horizontal bars, and given the fact that they must be separated, the minimum height is five.

Characters have different widths. 'M' and 'W' have a larger width while an 'I' is usually thin. But disregarding 'M' and 'W', all other characters can be drawn using a width of three pixels as some have left and right vertical bars, and a dividing white space.

A Basic Size-Minimal Font

Figure 1 shows a basic size-minimal charset with 3x5 pixels per character, with additional two pixels for both, 'M' and 'W'.


Figure 1: Basic size-minimal char.

Some notes:

Variations

In the following, variations of some characters are given.


Figure 2: Upper-case character variations.

Combinations

From the given variations, one could build a "round" and a "rectangular" charset.


Figure 3: Upper-case "round" (top) and "rectangular" (bottom) character sets.

Lower-case Characters

Lower case characters have three horizontal lines as well, like in 'e'. Additionally, some have both, a descender and an ascender like in 'f'. The ascender may have only one line in height. This is not possible for the descender, because an extra horizontal bar is needed as the case for a 'g'. Consequently, a lower case character set could be drawn with a height of eight pixels. The constraints for the width are similar to the ones of the upper-case charset. Only the 'n' can be represented in three rows instead of the four needed for an upper case 'N'.


Figure 4: Basic size-minimal lower-case charset.

Some notes:

Variations

Again, variations of some characters are given. Two ascender lines are used for aesthetic reasons.


Figure 5: Lower-case character variations.

Combinations

Again, the "round" and the "rectangular" combinations are given in the following image.


Figure 6: Lower-case "round" (top) and "rectangular" (bottom) character sets.

Full Characters

When combining lower- and upper-case characters, we need to stretch the capital letters to be as high as the lower-case characters including their ascender. Too many letters would be ambiguous if not done so. The resulting height is nine pixels and the width varies between one and five pixels.

The next figure shows some combinations.


Figure 7: Full "round" (top) and "rectangular" (bottom) character sets.

Closing Thoughts

Well, this entry presented some thoughts about size-minimal fonts. The resulting ones have characters that have a height of nine pixels what could be reduced to eight pixels by shrinking the ascender and a width of one to five pixels.

It looks trivial, yep, and it probably is. Still, it's the base for some extensions which I hope to present later.

One may note that the fonts used herein use only two colours - black and white. One could assume that even smaller charsets could be generated when using different shades of grey, imitating antialiasing.

References

Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported licence
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