I don't think the order of the symbol had such a great effect.
To say so, that the order had an effect, we could redo another poll to check it. But then it'll not be truely "double blind" or "blind"
I'm not entirely convinced that it is just random pattern.
To check if it is random pattern, we could repeat the poll and ask everyone to use a dice.
I'm more inclined to think the result had to do with the people who took part in the poll. Their preference, their experience, what they think Ian would choose.
While voter might appear to themselves to have chosen randomly, their decision have been influenced by their past personal experiences.
Exception is when someone uses the dice to make to decision.
A possible explanation could go like this...
(1) Few people like to be SQUARE.
(2) CROSS is sort of a believer's shape. Which many avoid.
(3) STAR is everyone's favourite, it is easy to think of a song about star than the other shape. It also represents all the good exciting things and it appeals to one superiority complex.
(4) CIRCLE and WAVE are more neutral and unpredictable. Rather safe-feeling, diplomatic choice.
The explanation seemed logical to me but then this is a post-poll analysis. And I understand it is not a poll about the personal choice of the preferred shape. But I do feel personal experience did affected the result.
Frankly, I personally did not attempted to do anything telepathic.
Or it wasn't clear to me I'm supposed to do so (attempt telepathy). It was a guess. A guess by me based on what comes to my mind intuitively. Which I trust is colored by my past experiences.