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Inspiring
January 22, 2024
Answered

Mathematically correct logo mark - help

  • January 22, 2024
  • 3 replies
  • 1288 views

Hey there 

 

I am trying to make the attached icon - At the moment its a bit rough so I need to make it mathmatically correct - I am also hoping that there is some solution that I can tweak the spaces between the pattern pieces in the bottom section - to make sure I get it right.

 

Does anyone know the best way to tackle this in illustrator - Would a brush work best - or is there a better way of rotating objects? 

This topic has been closed for replies.
Correct answer Jacob Bugge

Melanie,

 

Apart from the fact that what looks right is right, in some cases/parts it can best be made using mathematics/geometry, but that requires your making some fundamental choices, such as:

 

Proportion of inner bounds of outer parts to the central circle,

Whether the inner bounds are to be the same for the top with the spokes and the shape with the white letters (they seem to be),

Whether the outer bounds are to be the same for top and bottom (they seem to be different, the spokes being shorter), or which difference is desired (one option could be that the outer bounds of the spokes correspond to midway between the outer bounds of the shape and the letters),

Whether the whole rim round the letters is to have the same width (it seems to vary),

Whether the top of the bottom part is to be flush with the centre,

The transition from spokes to the bottom shape (likely to be determined/adjusted optically),

Choice of centre for the letters at the bottom (consistent with only one centre).

 

 

3 replies

Jacob Bugge
Community Expert
Jacob BuggeCommunity ExpertCorrect answer
Community Expert
January 22, 2024

Melanie,

 

Apart from the fact that what looks right is right, in some cases/parts it can best be made using mathematics/geometry, but that requires your making some fundamental choices, such as:

 

Proportion of inner bounds of outer parts to the central circle,

Whether the inner bounds are to be the same for the top with the spokes and the shape with the white letters (they seem to be),

Whether the outer bounds are to be the same for top and bottom (they seem to be different, the spokes being shorter), or which difference is desired (one option could be that the outer bounds of the spokes correspond to midway between the outer bounds of the shape and the letters),

Whether the whole rim round the letters is to have the same width (it seems to vary),

Whether the top of the bottom part is to be flush with the centre,

The transition from spokes to the bottom shape (likely to be determined/adjusted optically),

Choice of centre for the letters at the bottom (consistent with only one centre).

 

 

Inspiring
February 15, 2024

Thanks so much for taking the time to answer this - Yes indeed - the mathematical approach was not possible so some decisions had to be made.

 

Jacob Bugge
Community Expert
Community Expert
February 15, 2024

For my part you are welcome, Melanie.

 

I for one should enjoy seeing the outcome, but only if you wish to share the final work.

 

kphotopage
Legend
January 22, 2024

Melaniescooby, Hi. This was a fun challenge.

Here are the steps I took to recreate.

I random color as I work.

Side note, I always dulicate my paths or layers before expanding or outlining in case of editing.

 

Getting started. Draw concentric circles + crosshair. Align

Next, Effects>Transform for “Spikes”. Expand Transform.

For the Roman Numeral Type, I used a capital I and capital V. It’s type on a path. All type is live. Tweak your settings in Character Panel and Type on Path>Options. When finish, Outline text.

 

Next is Live Paint. Expand Paint, delete your strokes. Pathfinders>Unite same colors.

 

The final here I recolored, 2 colors.

If you need more details, please let me know.

 

K  

Inspiring
February 15, 2024

Wow - thanks so much for putting that together - definiely illustratred that the mathematical approach wasnt going to give me the results I wanted so I had to do some rejigging.

Doug A Roberts
Community Expert
Community Expert
January 22, 2024

What would 'mathematically correct' mean here? Do the lines of both the 'V' and 'I' elements need to radiate from the centre?

Inspiring
January 22, 2024

Hey Doug - Good question - should have explained. So - Yes V and I to radiate from the centre - but also be equal distance from each other  - ideally I would like a bit more distance between the 'I' and the edge - so I was hoping there would be a solution a bit like 'distribute objects evenly where I could tweak this evenly.

Doug A Roberts
Community Expert
Community Expert
January 22, 2024

I'm not sure there is a single 'mathematically correct' solution -- as the 'I' elements at the sides sit below the centre, but the bottom one is central, the distances or the size of elements would need to vary somewhat. Also I don't know which looks less 'wrong': radiation from the logo's centre or from the centre point created by the horizontal 'I' elements.