Another graphic as I get the next update going. I'll be having a focus on a bit of science, and while this chart is far in advance of what said science will be, here is a peak of what chemistry looks like in TTL (known as alchimy), using the basic equation of photosynthesis. Several things to note: the alchimical circle below is the basic manner in which equations are organized, and is read top, right, left. If more than three compounds are part of the equation, you start over, writing first right of the top compound, right of the right compound, left of the left compound, and then if you need to go again, you write left of the top compound, alternating. The compounds are separated by a comma. The results of the equation are written from the points of the smaller triangles and are read right, bottom, left, and have similar method for more than three compounds being listed.
The actual math is done on the side or by drawing lines for aid, but it is presented as such for official purposes. Actually, presenting your work on an exam in regular equative methods of x + y = z is needed for full marks if it asks for work, but otherwise, you present you answer as such. Think of it not unlike formatting a summation with Σ. This is because alchimy still very much respects tradition and the ways of their predecessors, and elements have unique, triangular symbols deriving from the classical alchimical symbols of the four elements. Is this difficult and overly ceremonial? Yes. Do alchimists require a chart most days to make sure they don't cross elemental symbols? Yes. But they view all that as part of the science, not because it is magical, but because the ceremony is what makes their science also an art.
Additionally, the Leo in the middle of the circle is because of its association with processes of heating in alchemy and its association with the Sun in astrology; this makes it the symbol for when sunlight is required. Aries is for when a heat source is required. None is if it only requires contact. Now for the numbers, the number of each element is in Roman Numerals in subscript, while the number of molecules is in Arabic Numerals in superscript preceding. The elements are grouped in terms of electron shells over number or weight, but the designer of the Diagram wanted to maintain the ceremonial feel, and so elements are grouped first pentagramically, and then in quartered rings. Due to early errors, TTLs f-shell and d-shell elements were grouped together, and are now separated by half-circles, not unlike the dividing 'steps' in the current Periodic Table between Metalloids and Post-Transition Metals.
The coloring shows each grouping of elements, a red dot denoting man-made element, an outline is a theorized element, yet undiscovered or created. The Diagram is made for a point in ATL where they have created and discovered an equal number of elements as us. It's read center, upper right pentagram, and then clockwise, then top inner ring, clockwise, top outer ring.