# Monoalphabetic Geometry

This is a second puzzle from the Monoalphabetic Equation series, you can check out the previous one here.

A set of letters has been replaced by $$a$$, $$b$$, $$c$$, and $$d$$ and one symbol has been replaced by $$x$$.
Following are some of the English words that consist of those letters, and their meaning:

$$abcd = \large ○ \normalsize + ▿\ +$$

$$cbad = \large ● \normalsize + \small ○$$

$$cbda = \text{△} \normalsize +\ —\ +\ –\$$

$$cab \normalsize + x = x\ +$$ \

- What are the letters that $$a$$, $$b$$, $$c$$, and $$d$$ replace, respectively?
- What is the symbol that $$x$$ replace?

Here's a picture, in case the unicode is not working.

• Are the open circles in the first and second lines different sizes? – eye_am_groot Nov 28 '18 at 15:18
• Yes, the (open) circle in the second line is a small circle. – Chrone Nov 28 '18 at 15:19
• So do the shapes on the right come out to be the definition of the word on the left? – Dorrulf Nov 28 '18 at 18:10

$$a$$ = r, $$b$$ = i, $$c$$ = t, $$d$$ = e, $$x$$ = $$∠$$
Note: The shapes on the right are combined to make a symbol representing the word on the left.

$$abcd = \large ○ \normalsize + ▿\ +$$

Word = rite
Depiction = Masonic ritual symbol (per @Timoris) or Wicca ritual pentacle, triangle + arrowhead make a star (intended answer per @Chrone)

$$cbad = \large ● \normalsize + \small ○$$

Word = tire
Depiction = tire image

$$cbda = \text{△} \normalsize +\ —\ +\ –\$$

Word = tier
Depiction = (per @Timoris) tier image

$$cab \normalsize + x = x\ +$$ \

Okay, I found this one to be particularly clever:
$$x$$ is $$∠$$
thus $$cab$$ + $$x$$ = $$x$$ + \ becomes
tri $$∠$$ = $$∠$$ + \
or rather:
triangle = $$△$$

• The last one is right under your nose. Although, I feel obligated to tell you that I should have use a pure symbol to replace the last one because it's not even a letter. I let it go because I thought that $x$ could pass off as a cross somehow, I guess not. It's entirely my fault. I'm sorry! – Chrone Nov 28 '18 at 18:13
• Oh. Alright, I'll keep that in mind, thank you! – Dorrulf Nov 28 '18 at 18:18
• So to speak, $x$ is one of the unicode symbols that is not a letter and I can assure you that it will become clear once you found out what it is! – Chrone Nov 28 '18 at 18:18
• I think the first might be rot13(n serrznfba flzoby, gur bar jvgu gur pbzcnff) and the third is simply a rot13(gevnatyr jvgu gjb ubevmbagny yvarf fcyvggvat vg vagb 3 gvref). – Timoris Nov 28 '18 at 18:36
• @Timoris It’s cool that you somehow connect it to r13(Znfbavp evghny flzoby) when I actually aimed for a simple r13(Jvppn evghny cragnpyr, gevnatyr + neebjurnq znxr n fgne). I’d say It’s good enough for me to accept. Also, you are right about third one. – Chrone Nov 28 '18 at 18:55