I'm no expert but it looks more like a mineral like marble or something similar rather than a crystal... Maybe directing your search that way would help?
Although the green in the obelisk may indicate some inclusion of a crystal, I can't tell for sure.
For example, obsidian is actually a volanic glass rather than a crystal, but snowflake obsidian is formed by the inclusion of crystals within the obsidian... Just food for thought :)
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