School of Geometry

The school of Geometry is concerned with the intersection of arcane magic and advanced mathematics. It is concerned with the shape and structure of spells, as realised in actual space rather than metaphorically. Known as Geometers, wizards of this school are called in when others are stumped by the particular dimensions and spatial situations of the magic required to fix a given problem.

Split Strike

At 10th level, you can cause spells which originate from you to split direction between your two hands. When you cast a spell with a range of self (cone), self (cube), or self (line), you can choose to point the area of effect in two different directions. If you do, the range of the area of effect is halved.

     If you use your Cut Corners feature with a line spell which you split with this feature, the total number of changes of direction in both halves of the spell cannot exceed the maximum number for your Cut Corners feature.

Topological Mastery

Beginning at 14th level, you can distribute the effect of your spells across the current plane. When you cast a spell with an area of effect, determine how many 5-foot cubes would be included in that area. You can distribute a number of 5-foot cube areas of effect equal to those that would be covered by the original area of effect anywhere within the range of the spell. Any creature whose total space is covered by these 5-foot cube areas of effect is subjected to the effect of the spell.Thus, each Medium or smaller creature requires one such area of effect, whereas Large or larger creatures require four or more.
     You can use this feature twice. You regain expended uses when you finish a long rest

Geometry Savant

Beginning when you select this school at 2nd level, the gold and time you spend to copy a spell with an area of effect into your spellbook is halved.

Spiral Force

Also starting at 2nd level, when you cast a spell with a range of self (cone), you can instead have that spell target each creature in a sphere centred on yourself with a radius of the length of that cone – 5 feet, excluding yourself. For example, if you cast the burning hands spell, you can have the area of effect of that spell become a 10-foot radius sphere centred on yourself.

Cut Corners

Starting at 6th level, when you cast a spell with a line area of effect, you can cause that line to change direction once at any point along its length, creating exactly one corner of up to 90 degrees in any direction.
     Once you reach 10th level, you can include two such changes of direction in any one line, and once you reach 14th level, you can include three changes of direction. You cannot cause your line to travel back towards you or peform a U-turn.