works
|
about
Esch — A Framework for Nu
merical Typography
Noah Syrkis
May 21, 2025
1 |
Symbols and Letters
2 |
Drawing
{
𝑠
𝑖
:
𝑖
∈
ℝ
}
3 |
{
𝑀
∈
ℝ
𝑛
×
𝑚
}
4 |
Position and Quantity
5 |
Simulation and Simulacra
1 |
Symbols and Letters
▶
Information theoretically, an alphabet is a non-empty set of symbols
▶
Often denoted
𝜉
=
{
𝑠
1
,
𝑠
2
,
…
}
or in the continuous case
{
𝑠
𝑖
:
𝑖
∈
ℝ
}
▶
The family of alphabets famously include
{
𝐴
,
𝐵
,
…
,
𝑍
}
,
{
0
,
1
}
, and
{
𝐴
,
𝐶
,
𝑇
,
𝐺
}
▶
A shared quality between all symbols is the care with which they so often are drawn
1 of
9
1 |
Symbols and Letters
𝔸
𝔹
ℂ
𝔻
𝔼
𝔽
𝔾
ℍ
𝕀
𝕁
𝕂
𝕃
𝕄
ℕ
𝕆
ℙ
ℚ
ℝ
𝕊
𝕋
𝕌
𝕍
𝕏
𝕐
ℤ
𝔄
𝔅
ℭ
𝔇
𝔈
𝔉
𝔊
ℌ
ℑ
𝔍
𝔎
𝔏
𝔐
𝔑
𝔒
𝔓
𝔔
ℜ
𝔖
𝔗
𝔘
𝔙
𝔛
𝔜
ℨ
А Б В Г Д Е Ё Ж З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Ъ Ы Ь Э Ю Я
Figure 1: The Latin alphabet in double-struck (top) and Fraktur (middle),
and the Cyrillics in Libertinus Serif (bottom)
2 of
9
1 |
Symbols and Letters
▶
The embryology of topography is frequently present in the symbols fenotype
▶
Worked laboriously into metal plates, symbols were assembled into strings
3 of
9
2 |
Drawing
{
𝑠
𝑖
:
𝑖
∈
ℝ
}
▶
ESCH is a typography for representing quantity and strings here of
▶
[
8
2
4
2
6
8
] becomes [
⬛
▪
◾
▪
◼
⬛
] … or, depending on the font, [
⬤
⦁
∙
⦁
●
⬤
]
▶
Negative numbers become [
⬜
▫
◽
▫
◻
⬜
] (or [
◯
∘
⚬
∘
○
◯
])
4 of
9
3 |
{
𝑀
∈
ℝ
𝑛
×
𝑚
}
▶
Figure 2: Esch representation of
𝐽
5
,
1
0
5 of
9
Figure 3: Esch of
𝐴
∈
ℝ
5
×
1
0
×
1
0
0
(last dimension is temporal)
4 |
Position and Quantity
Figure 4: Esch representation of
𝐽
5
,
1
0
6 of
9
5 |
Simulation and Simulacra
Figure 5: Esch representation of random actions in Parabellum
[1]
7 of
9
References
[1]
T. Anne
et al.
, “Harnessing Language for Coordination: A Framework and Benchmark for
LLM-Driven Multi-Agent Control,”
IEEE Transactions on Games
, pp. 1–25, 2025, doi:
10.1109/
TG.2025.3564042
.
8 of
9
A |
Trees vs. Arrays
▶
Trees versus arrays
▶
Leaf nodes are actions and conditions
▶
Rest are sequence or fallback combinators
9 of
9
Esch — A Framework for Nu
merical Typography
Noah Syrkis
May 21, 2025
1 |
Symbols and Letters
2 |
Drawing
{
𝑠
𝑖
:
𝑖
∈
ℝ
}
3 |
{
𝑀
∈
ℝ
𝑛
×
𝑚
}
4 |
Position and Quantity
5 |
Simulation and Simulacra
1 |
Symbols and Letters
▶
Information theoretically, an alphabet is a non-empty set of symbols
▶
Often denoted
𝜉
=
{
𝑠
1
,
𝑠
2
,
…
}
or in the continuous case
{
𝑠
𝑖
:
𝑖
∈
ℝ
}
▶
The family of alphabets famously include
{
𝐴
,
𝐵
,
…
,
𝑍
}
,
{
0
,
1
}
, and
{
𝐴
,
𝐶
,
𝑇
,
𝐺
}
▶
A shared quality between all symbols is the care with which they so often are drawn
1 of
9
1 |
Symbols and Letters
𝔸
𝔹
ℂ
𝔻
𝔼
𝔽
𝔾
ℍ
𝕀
𝕁
𝕂
𝕃
𝕄
ℕ
𝕆
ℙ
ℚ
ℝ
𝕊
𝕋
𝕌
𝕍
𝕏
𝕐
ℤ
𝔄
𝔅
ℭ
𝔇
𝔈
𝔉
𝔊
ℌ
ℑ
𝔍
𝔎
𝔏
𝔐
𝔑
𝔒
𝔓
𝔔
ℜ
𝔖
𝔗
𝔘
𝔙
𝔛
𝔜
ℨ
А Б В Г Д Е Ё Ж З И Й К Л М Н О П Р С Т У Ф Х Ц Ч Ш Щ Ъ Ы Ь Э Ю Я
Figure 1: The Latin alphabet in double-struck (top) and Fraktur (middle),
and the Cyrillics in Libertinus Serif (bottom)
2 of
9
1 |
Symbols and Letters
▶
The embryology of topography is frequently present in the symbols fenotype
▶
Worked laboriously into metal plates, symbols were assembled into strings
3 of
9
2 |
Drawing
{
𝑠
𝑖
:
𝑖
∈
ℝ
}
▶
ESCH is a typography for representing quantity and strings here of
▶
[
8
2
4
2
6
8
] becomes [
⬛
▪
◾
▪
◼
⬛
] … or, depending on the font, [
⬤
⦁
∙
⦁
●
⬤
]
▶
Negative numbers become [
⬜
▫
◽
▫
◻
⬜
] (or [
◯
∘
⚬
∘
○
◯
])
4 of
9
3 |
{
𝑀
∈
ℝ
𝑛
×
𝑚
}
▶
Figure 2: Esch representation of
𝐽
5
,
1
0
5 of
9
Figure 3: Esch of
𝐴
∈
ℝ
5
×
1
0
×
1
0
0
(last dimension is temporal)
4 |
Position and Quantity
Figure 4: Esch representation of
𝐽
5
,
1
0
6 of
9
5 |
Simulation and Simulacra
Figure 5: Esch representation of random actions in Parabellum
[1]
7 of
9
References
[1]
T. Anne
et al.
, “Harnessing Language for Coordination: A Framework and Benchmark for
LLM-Driven Multi-Agent Control,”
IEEE Transactions on Games
, pp. 1–25, 2025, doi:
10.1109/
TG.2025.3564042
.
8 of
9
A |
Trees vs. Arrays
▶
Trees versus arrays
▶
Leaf nodes are actions and conditions
▶
Rest are sequence or fallback combinators
9 of
9