This subclass was based off of RhogarNorixius' original Arcane Polymath Subclass. In the comments some people complained that is did not update the character sheet. I created this copy so that the features could work, and I do not claim ownership of this at all. Please support RhogarNorixius and his subclass before using this version. The following is a pasted copy from the original subclass.

Unwilling to focus on any specific school of magic, or even exclusively on the magic of their class, Arcane Polymaths prize knowledge and flexibility above all other things. They attempt to master as many different disciplines as possible in order to satiate their innate curiosity. Some Polymaths hope to share their fascinating discoveries with the world, while others seek to accrue knowledge for their own satisfaction, collecting arcane secrets like a dragon hoards treasures.

 

Spellcasting Savant

This feature is copied from the original arcane polymath subclass created by RhogarNorixius. It was created to actually provide changes to your character sheet. (NOTE: as of version 1, this feature can not be fully implemented) Please support the original creator before using this feature.  I claim no ownership of this. The following is a pasted replica of the original.

When you select this tradition at 2nd level, your multitasking mind allows you to keep a larger number of spells prepared than other wizards. After each long rest, you may prepare a number of spells from your spellbook equal to your Intelligence modifier + your proficiency bonus + your wizard level (minimum of one spell). The spells must be of a level for which you have spell slots.

To facilitate your curious mind and increased preparation capacity, you may select one 1st level spell that does not appear on the wizard spell list and add it to your spellbook. It counts as a wizard spell for you.

Improved Prestidigitation

This feature is copied from the original arcane polymath subclass created by RhogarNorixius. It was created to actually provide changes to your character sheet. Please support the original creator before using this feature.  I claim no ownership of this. The following is a pasted replica of the original.

Also at 2nd level, you learn the prestidigitation cantrip. If you already know this cantrip, you learn a different wizard cantrip of your choice. The cantrip doesn’t count against your number of cantrips known.

When you cast prestidigitation, the range of effect increases to 30 feet, and you may alternatively create any effects from the druidcraft or thaumaturgy cantrips, though the duration of these effects will still be limited to a single instant or one minute, respectively. If you cast this spell multiple times, you can now have up to four of its non-instantaneous effects active at a time, and you can dismiss such an effect as an action.

Magical Revelations

 This feature is copied from the original arcane polymath subclass created by RhogarNorixius. It was created to actually provide changes to your character sheet. Please support the original creator before using this feature.  I claim no ownership of this. The following is a pasted replica of the original.

At 6th level, you may add two spells of your choice that do not appear on the wizard spell list to your spellbook. A spell you choose must be of a level you can cast, as shown on the Wizard table, or a cantrip. The chosen spells count as wizard spells for you, though cantrips chosen this way do not count against the number of Cantrips Known on the Wizard table.

Exhaustive Bookkeeper

This feature is copied from the original arcane polymath subclass created by RhogarNorixius. It was created to actually provide changes to your character sheet. Please support the original creator before using this feature.  I claim no ownership of this. The following is a pasted replica of the original.

Beginning at 10th level, you can copy any spells from spell scrolls that you find into your spellbook, even if these spells do not appear on the wizard spell list. For each level of a non-wizard spell you copy into your spellbook, the process takes 4 hours and costs 100 gp. This increased cost represents the difficulty of translating other schools of magic into your own personal notation system. Copied spells count as wizard spells for you, and once you have spent this time and money, you can prepare these spell just like your other spells.

Master of All

 This feature is copied from the original arcane polymath subclass created by RhogarNorixius. It was created to actually provide changes to your character sheet. Please support the original creator before using this feature.  I claim no ownership of this. The following is a pasted replica of the original.

At 14th level, you may add two more spells of your choice that do not appear on the wizard spell list to your spellbook. A spell you choose must be of a level you can cast, as shown on the Wizard table, or a cantrip. The chosen spells count as wizard spells for you, though cantrips chosen this way do not count against the number of Cantrips Known on the Wizard table.

Hereafter, every time you gain a level in the Wizard class (starting with 15th level), one (but not both) of the spells that you add to your spellbook may come from a different class's spell list, though you are free to learn two wizard spells if you prefer. Your spellcasting is now bounded only by your own interests and imagination.