When this power is invoked, the Mathematician calls into being a barrier that manifests itself in the minds of others as a logic puzzle. The barrier can take two forms: A straight wall with length equal to 10 feet per level of the Mathematician, or a circle centreed on the Mathematician with a diameter of 3 feet per level of the caster.
When encountering this barrier, the logic puzzle is implanted in the minds of any who cross it – they must solve the puzzle or be unable to pass. Time required to solve the puzzle varies with the Knowledge score of those who are attempting to solve it as shown below:
Knowledge Score & Effect
Failing a Knowledge check has no negative effects other than not being able to transcend the barrier: multiple attempts are allowed. Note that the Mathematician who creates this barrier can cross it in any direction at will, and all allies of the Mathematician can cross the barrier as a full round action.