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The tethrateron (also called tethratesseract and tethraterror) is equal to E100#^^####100 in Extended Cascading-E Notation, which expands to E100#^^###>#^^###>#^^###> ... ... >#^^###>#^^###>#^^###100 with 100 #^^###s.[1] The term was coined by Sbiis Saibian.

## Etymology

The name of this number is based on the number tethrathoth and the root "teron" from "polyteron". Polyteron is the name for a 5-dimensional figure and 5-D figures are constructed from multiple 4-D figures (hence the "poly"), so a "teron" can be considered a 4-dimensional figure.

## Approximations in other notations

Notation Approximation
BEAF $$X \uparrow^5 101\ \&\ 100$$
Bird's array notation $$\{100,49 [1 \backslash 1 \backslash 1 \backslash 1 \backslash 2] 2\}$$
Hyperfactorial array notation $$100![1] w/7$$
Fast-growing hierarchy $$f_{\varphi(4,0)}(99)$$
Hardy hierarchy $$H_{\varphi(4,0)}(100)$$
Slow-growing hierarchy $$g_{\vartheta(\varphi(4,\Omega+1))}(100)$$

## Sources

1. Saibian, Sbiis. 4.3.7 - Extended Cascading-E Numbers Part I. Retrieved 2016-12-16.