Fate points (57):
3 from Tome of Fate +3;
3 fate points by speaking to Draconic Incarnation NPC (arcane sphere) in Junction of the Spheres;
3 fate points by speaking to Fatesinger NPC (arcane sphere) in Junction of the Spheres;
3 fate points by speaking to Magus of the Eclipse NPC (arcane sphere) in Junction of the Spheres;
3 fate points by speaking to Divine Crusader NPC (divine sphere) in Junction of the Spheres;
3 fate points by speaking to Exalted Angel NPC (divine sphere) in Junction of the Spheres;
3 fate points by speaking to Unyielding Sentinel NPC (divine sphere) in Junction of the Spheres;
3 fate points by speaking to Grandmaster of Flowers NPC (martial sphere) in Junction of the Spheres;
3 fate points by speaking to Legendary Dreadnought NPC (martial sphere) in Junction of the Spheres;
3 fate points by speaking to Shadowdancer NPC (martial sphere) in Junction of the Spheres;
3 fate points by speaking to Fury of the Wild NPC (primal sphere) in Junction of the Spheres;
3 fate points by speaking to Primal Avatar NPC (primal sphere) in Junction of the Spheres;
3 fate points by speaking to Shiradi Champion NPC (primal sphere) in Junction of the Spheres;
1 fate point by getting 3x Energy Criticals (arcane sphere) epic past life feats;
1 fate point by getting 3x Enchant Weapon (arcane sphere) epic past life feats;
1 fate point by getting 3x Arcane Alacrity (arcane sphere) epic past life feats;
1 fate point by getting 3x Ancient Knowledge (arcane sphere) epic past life feats;
1 fate point by getting 3x Eclipse Power (arcane sphere) epic past life feats;
1 fate point by getting 3x Power over Life and Death (divine sphere) epic past life feats;
1 fate point by getting 3x Brace (divine sphere) epic past life feats;
1 fate point by getting 3x Block Energy (divine sphere) epic past life feats;
1 fate point by getting 3x Ancient Blessings (divine sphere) epic past life feats;
1 fate point by getting 3x Doublestrike (martial sphere) epic past life feats;
1 fate point by getting 3x Skill Mastery (martial sphere) epic past life feats;
1 fate point by getting 3x Fortification (martial sphere) epic past life feats;
1 fate point by getting 3x Ancient Tactics (martial sphere) (martial sphere) epic past life feats;
1 fate point by getting 3x Doubleshot (primal sphere) epic past life feats;
1 fate point by getting 3x Fast Healing (primal sphere) epic past life feats;
1 fate point by getting 3x Colors of the Queen (primal sphere) epic past life feats;
1 fate point by getting 3x Ancient Power (primal sphere) epic past life feats;
1 fate point by getting 3x Epic Completionist epic past life feats (probably this is the 18th epic past life feat shown in the list and in the screenshot)
Destiny points (74):
19 destiny points from Fate points: 1 destiny point for every 3 fate points;
40 destiny points from Epic levels: 4 destiny points per level;
8 destiny points from Legendary levels: 4 per level;
4 destiny points from Epic completionist: 1 destiny point for every 12 epic past lives (there are 51 epic past lives);
1 destiny point from Tome of Destiny +1 (Feywild)
1 destiny point from Tome of Destiny +1 (Historic)
1 destiny point from Tome of Destiny +1 (Dread)
You have to count 18 icons under epic past lives tree in your character window: on each icon (including epic completionist) you should read "acquired 3 times".
Also you need Tome of Fate +3 and the other 3 destiny tomes listed above.