Mount Sinai was a model of the Lord's House or Mountain of The Lord's House or the Lord's Tabernacle. Just as the Tabernacle was a model of the Universe so was Mount Sinai. At the base of the mountain the children of Israel gathered and camped and built an altar. This may be seen as the Telestial level or the world that we live in. Just as Christ came to the Telestial level to be sacrificed, so the Israelites were commanded to offer sacrifices at this level. However a boundry was created at the base of the mountain and they were commanded to not pass that boundry upon the threat of death.
12 And thou shalt set bounds unto the people round about, saying, Take heed to yourselves, [that ye] go [not] up into the mount, or touch the border of it: whosoever toucheth the mount shall be surely put to death:
13 There shall not an hand touch it, but he shall surely be stoned, or shot through; whether [it be] beast or man, it shall not live: when the trumpet soundeth long, they shall come up to the mount.
In order to proceed further up the mountain they had to be purified by having the blood of the covenant sprinkled on them.
8 And Moses took the blood, and sprinkled [it] on the people, and said, Behold the blood of the covenant, which the LORD hath made with you concerning all these words.
9 Then went up Moses, and Aaron, Nadab, and Abihu, and seventy of the elders of Israel:
10 And they saw the God of Israel: and [there was] under his feet as it were a paved work of a sapphire stone, and as it were the body of heaven in [his] clearness.
11 And upon the nobles of the children of Israel he laid not his hand: also they saw God, and did eat and drink.
Here we see that seventy four men were now allowed to proceed part way up the mountain where they saw the God of Israel and did eat and drink. This may be seen as entering to a Terrestrial level where the Lord comes to dwell during the Millennium (see Moses 7:62-64).
Moses now proceeds further up the mountain into the midst of the cloud which covered the top of the mountain and spent 40 days and nights communing with God and receiving the law. This appears to be the equivalent of entering into Celestial space where God dwells. Both the Tabernacle and Mount Sinai appear to be models of the Universe which is the Lord's Tabernacle.
Paul speaks of this heavenly tabernacle made by God:
1 NOW of the things which we have spoken [this is] the sum: We have such an high priest, who is set on the right hand of the throne of the Majesty in the heavens;
2 A minister of the sanctuary, and of the true tabernacle, which the Lord pitched, and not man.
3 For every high priest is ordained to offer gifts and sacrifices: wherefore [it is] of necessity that this man have somewhat also to offer.
4 For if he were on earth, he should not be a priest, seeing that there are priests that offer gifts according to the law:
5 Who serve unto the example and shadow of heavenly things, as Moses was admonished of God when he was about to make the tabernacle: for, See, saith he, [that] thou make all things according to the pattern shewed to thee in the mount.
When the Tabernacle was completed and then later the Temple, the Ark of the Covenant that contained the Law, was kept in the Holy of Holies (Celestial space) as a type pointing out that living the Law will bring us back to God to live in Celestial glory. The Ark became a constant reminder that the Law that was given in Celestial space was designed to bring us back to God's presence.
Both the Tabernacle and the Temple can be seen as the Mountain of the Lord's House.