no, you can't. unless it says you can, you can't
Monster Gate can special summon them. They are normal summonable monsters, like any regular Lv8 monster. While there is a way to special summon them using Pyramid of Light, that's only an option - they can be special summoned in other ways, such as Monster Gate.
Assuming the monster doesn't have any special text which explains how to summon it, then a 10 star monster just requires two tributes, because Lv7+ monsters need two. The Earthbound Immortals and Andro Sphinx/Sphinx Teleia are Lv10 monsters that are tribute summoned as normal with just two tributes.
Andro Sphinx and Sphinx Teleia can be destroyed with Pyramid of Light and used to summon Theinen the Great Sphinx.
Theinen the Great Sphinx is a monster card that cannot be Normal Summoned or Set. This card cannot be Special Summoned except by paying 500 Life Points when both "Andro Sphinx" and "Sphinx Teleia" on your side of the field are destroyed at the same time; then you can Special Summon this monster from your hand or Deck. When this card is Special Summoned successfully, pay 500 Life Points to increase the ATK of this card by 3000 points until the end of the End Phase.
No. It is specifically stated on the card lore that it "cannot be Special Summoned except by paying 500 Life Points when both "Andro Sphinx" and "Sphinx Teleia" are destroyed at the same time..."
If your talking about Theinen the Great Sphinx, the bottom half is Sphinx Teleia and the top half is Andro Sphinx.
Theinen the Great Sphinx is the third and last Sphinx monster to appear in the movie.
I'd say it would probably be around 14 bucks
In Yu-Gi-Oh! The Movie: Pyramid of Light, Sphinx Teleiais one of Anubis's cards.It's a level 10, LIGHT, Beast-type monster with 2500 ATK and 3000 DEF. It's effect is:"You can pay 500 Life Points to Special Summon this card when Pyramid of Light is on the field. This card cannot attack during the turn it is Normal Summoned or Special Summoned. This card cannot be Special Summoned from the Graveyard. If this card destroys a Defense Position monster as a result of battle, inflict damage to your opponent's Life Points equal to half the DEF of the destroyed monster."
No. The card Pyramid of Light only states "If this face-up card is removed from your side of the field, destroy "Andro Sphinx" and "Sphinx Teleia" on your side of the field and remove them from play." Pyramid of Light has no other effect other than that but you can special summon those 2 monsters by paying 500 LP each if you have Pyramid of Light in the field. This is part of their own effect, usable when they are in hand. It is not part of Pyramid of Light's effect.
Use two prong attack , dark hole or pyramid of light to destroy your andro sphinx and sphinx teleia as well as maybe some of your oppents monsters to specail summon theinin the great sphinx. pay 500 LP to give ATK 6500 then if your LP are lower, use megamoph to give him 13000 ATK! beware of sakurestu armor though.
Pyramid of Light's effect is... "If this face-up card is removed from your side of the field, destroy "Andro Sphinx" and "Sphinx Teleia" on your side of the field and remove them from play." There you go.